chơi xổ số keno trực tuyến

{"appState":{"pageLoadApiCallsStatus":true},"authorState":{"author":{"headers":{"timestamp":"2025-03-18T08:49:26+00:00"},"authorId":11243,"data":{"name":"Sandra Luna McCune","slug":"sandra-luna-mccune","description":" Lisa Zimmer Hatch, MA, and Scott A. Hatch, JD, help students excel on standardized tests. They have authored numerous test-prep texts and curricula. Sandra Luna McCune, PhD, is professor emeritus at Stephen F. Austin State University. She’s currently an author and statistics consultant. ","photo":{"src":null,"width":0,"height":0}}},"authorLoadedStatus":"success"},"listState":{"list":{"count":10,"total":21,"items":[{"headers":{"creationTime":"2017-03-27T16:50:21+00:00","modifiedTime":"2024-10-31T17:42:27+00:00","timestamp":"2024-10-31T18:01:09+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Study Skills & Test Prep","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33772"},"slug":"study-skills-test-prep","categoryId":33772},{"name":"GMAT","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33784"},"slug":"gmat","categoryId":33784}],"title":"GMAT Prep For Dummies Cheat Sheet","strippedTitle":"gmat prep for dummies cheat sheet","slug":"gmat-for-dummies-cheat-sheet","canonicalUrl":"","浏览游戏模块系统调整":{"metaDescription":"Here are guidelines, tips, and tricks for answering the different parts of the GMAT, including math, integrated reasoning, and reading comprehension.","noIndex":0,"noFollow":0},"content":"When you take the Graduate Management Admission Test (GMAT), make sure you take the required items with you to the test. Use these guidelines to help you get through the integrated reasoning, data sufficiency, quantitative problem solving, reading comprehension, and critical reasoning questions — as well as for writing your analytical essay and conquering integrated reasoning questions.\r\n\r\n[caption id=\"attachment_283522\" align=\"alignnone\" width=\"556\"]<img class=\"size-full wp-image-283522\" src=\"//coursofppt.com/wp-content/uploads/GMAT-graphic.jpg\" alt=\"GMAT\" width=\"556\" height=\"556\" /> © Waldemarus / Shutterstock.com[/caption]","description":"When you take the Graduate Management Admission Test (GMAT), make sure you take the required items with you to the test. Use these guidelines to help you get through the integrated reasoning, data sufficiency, quantitative problem solving, reading comprehension, and critical reasoning questions — as well as for writing your analytical essay and conquering integrated reasoning questions.\r\n\r\n[caption id=\"attachment_283522\" align=\"alignnone\" width=\"556\"]<img class=\"size-full wp-image-283522\" src=\"//coursofppt.com/wp-content/uploads/GMAT-graphic.jpg\" alt=\"GMAT\" width=\"556\" height=\"556\" /> © Waldemarus / Shutterstock.com[/caption]","blurb":"","authors":[{"authorId":9086,"name":"Lisa Zimmer Hatch","slug":"lisa-zimmer-hatch","description":" <p><b>Lisa Zimmer Hatch </b>served as VP of The Center for Legal Studies, where she created standardized test preparation. Currently, she is an Independent College Counselor and president of College Primers.</p> <p><b>Scott A. Hatch</b> develops courses for a variety of careers and assists those seeking advanced degrees in law, business, and other professions. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/9086"}},{"authorId":9087,"name":"Scott A. Hatch","slug":"scott-a-hatch","description":" <p><b>Lisa Zimmer Hatch </b>served as VP of The Center for Legal Studies, where she created standardized test preparation. Currently, she is an Independent College Counselor and president of College Primers.</p> <p><b>Scott A. Hatch</b> develops courses for a variety of careers and assists those seeking advanced degrees in law, business, and other professions. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/9087"}},{"authorId":11243,"name":"Sandra Luna McCune","slug":"sandra-luna-mccune","description":" <p><b>Lisa Zimmer Hatch </b>served as VP of The Center for Legal Studies, where she created standardized test preparation. Currently, she is an Independent College Counselor and president of College Primers.</p> <p><b>Scott A. Hatch</b> develops courses for a variety of careers and assists those seeking advanced degrees in law, business, and other professions. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/11243"}}],"primaryCategoryTaxonomy":{"categoryId":33784,"title":"GMAT","slug":"gmat","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33784"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[],"relatedArticles":{"fromBook":[],"fromCategory":[{"articleId":283513,"title":"The Coordinate Plane and the GMAT","slug":"the-coordinate-plane-and-the-gmat","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283513"}},{"articleId":283506,"title":"Multi-Source Reasoning Questions on the GMAT","slug":"multi-source-reasoning-questions-on-the-gmat","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283506"}},{"articleId":283501,"title":"Table Analysis Questions on the GMAT","slug":"table-analysis-questions-on-the-gmat","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283501"}},{"articleId":283496,"title":"Preparing for Integrated Reasoning on the GMAT","slug":"what-the-gmats-integrated-reasoning-section-is-all-about","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283496"}},{"articleId":249437,"title":"GMAT Practice Questions: Sentence Completion","slug":"gmat-verbal-section-practice-sentence-completion","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249437"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":300432,"slug":"gmat-prep-2024-2025-for-dummies","isbn":"9781394183364","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"amazon":{"default":"//www.amazon.com/gp/product/1394183364/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"//www.amazon.ca/gp/product/1394183364/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"//www.tkqlhce.com/click-9208661-13710633?url=//www.chapters.indigo.ca/en-ca/books/product/1394183364-item.html&cjsku=978111945484","gb":"//www.amazon.co.uk/gp/product/1394183364/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"//www.amazon.de/gp/product/1394183364/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"//coursofppt.com/wp-content/uploads/gmat-prep-2024-2025-for-dummies-cover-9781394183364-197x255.jpg","width":197,"height":255},"title":"GMAT Prep 2024/2025 For Dummies with Online Practice (GMAT Focus Edition)","testBankPinActivationLink":"","bookOutOfPrint":true,"authorsInfo":"<p><p><b>Lisa Zimmer Hatch </b>served as VP of The Center for Legal Studies, where she created standardized test preparation. Currently, she is an Independent College Counselor and president of College Primers.</p> <p><b><b data-author-id=\"9087\">Scott A. Hatch</b></b> develops courses for a variety of careers and assists those seeking advanced degrees in law, business, and other professions. <p><b><b data-author-id=\"9086\">Lisa Zimmer Hatch</b> </b>served as VP of The Center for Legal Studies, where she created standardized test preparation. Currently, she is an Independent College Counselor and president of College Primers.</p> <p><b>Scott A. Hatch</b> develops courses for a variety of careers and assists those seeking advanced degrees in law, business, and other professions. <p><b>Lisa Zimmer Hatch </b>served as VP of The Center for Legal Studies, where she created standardized test preparation. Currently, she is an Independent College Counselor and president of College Primers.</p> <p><b>Scott A. Hatch</b> develops courses for a variety of careers and assists those seeking advanced degrees in law, business, and other professions.</p>","authors":[{"authorId":9087,"name":"Scott A. Hatch","slug":"scott-a-hatch","description":" <p><b>Lisa Zimmer Hatch </b>served as VP of The Center for Legal Studies, where she created standardized test preparation. Currently, she is an Independent College Counselor and president of College Primers.</p> <p><b>Scott A. Hatch</b> develops courses for a variety of careers and assists those seeking advanced degrees in law, business, and other professions. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/9087"}},{"authorId":9086,"name":"Lisa Zimmer Hatch","slug":"lisa-zimmer-hatch","description":" <p><b>Lisa Zimmer Hatch </b>served as VP of The Center for Legal Studies, where she created standardized test preparation. Currently, she is an Independent College Counselor and president of College Primers.</p> <p><b>Scott A. Hatch</b> develops courses for a variety of careers and assists those seeking advanced degrees in law, business, and other professions. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/9086"}},{"authorId":11243,"name":"Sandra Luna McCune","slug":"sandra-luna-mccune","description":" <p><b>Lisa Zimmer Hatch </b>served as VP of The Center for Legal Studies, where she created standardized test preparation. Currently, she is an Independent College Counselor and president of College Primers.</p> <p><b>Scott A. Hatch</b> develops courses for a variety of careers and assists those seeking advanced degrees in law, business, and other professions. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/11243"}}],"_links":{"self":"//dummies-api.coursofppt.com/v2/books/"}},"collections":[{"title":"Career Shifting","slug":"career-shifting","collectionId":295890}],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;study-skills-test-prep&quot;,&quot;gmat&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781394183364&quot;]}]\" id=\"du-slot-654140e59e683\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;study-skills-test-prep&quot;,&quot;gmat&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781394183364&quot;]}]\" id=\"du-slot-654140e59edfd\"></div></div>"},"articleType":{"articleType":"Cheat Sheet","articleList":[{"articleId":170923,"title":"Items You Should Take to the GMAT","slug":"items-you-should-take-to-the-gmat","categoryList":[],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/170923"}},{"articleId":170907,"title":"GMAT Math Question Tricks and Tips","slug":"gmat-math-question-tricks-and-tips","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/170907"}},{"articleId":170929,"title":"Tips and Tricks for GMAT Critical Reasoning Questions","slug":"tips-and-tricks-for-gmat-critical-reasoning-questions","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/170929"}},{"articleId":170911,"title":"Helpful Hints for GMAT Sentence Correction Questions","slug":"helpful-hints-for-gmat-sentence-correction-questions","categoryList":[],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/170911"}},{"articleId":170931,"title":"Tips for the GMAT Reading Comprehension Questions","slug":"tips-for-the-gmat-reading-comprehension-questions","categoryList":[],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/170931"}},{"articleId":170910,"title":"Tricks for the GMAT Analytical Writing Assessment","slug":"tricks-for-the-gmat-analytical-writing-assessment","categoryList":[],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/170910"}},{"articleId":170921,"title":"Guidelines for Answering GMAT Integrated Reasoning Questions","slug":"guidelines-for-answering-gmat-integrated-reasoning-questions","categoryList":[],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/170921"}}],"content":[{"title":"Items you should take to the GMAT","thumb":null,"image":null,"content":"<p>Forget your calculator when you take the GMAT. The only things you need to bring with you to the test, besides a confident attitude and a good night&#8217;s sleep, are:</p>\n<ul class=\"level-one\">\n<li>\n<p class=\"first-para\"><b>Your appointment confirmation letter or email:</b> When you schedule an appointment for the GMAT, Pearson VUE sends you a confirmation letter or e-mail that you should bring with you to the test. It proves you&#8217;re registered. Don&#8217;t despair if you can&#8217;t find yours, though. They&#8217;ll let you in if you have an appointment.</p>\n</li>\n<li>\n<p class=\"first-para\"><b>A photo ID:</b> You have to prove that you&#8217;re you and not your really smart neighbor who looks a little like you coming in to take the test for you. Any form of identification that doesn&#8217;t have your picture on it is unacceptable, but valid government-issued picture IDs, like driver&#8217;s licenses, passports, identification cards, and military IDs, are great as long as they&#8217;re originals (no photocopies) and they present your name and date of birth <i>exactly</i> as you stated them when you registered for the GMAT.</p>\n</li>\n<li>\n<p class=\"first-para\"><b>The names of up to five of your favorite MBA programs:</b> Pearson VUE sends your GMAT scores to five programs of your choice, so if you didn&#8217;t enter them online when you registered, be sure to have a list of your five favorites with you on test day.</p>\n</li>\n</ul>\n"},{"title":"GMAT integrated reasoning tips and tricks","thumb":null,"image":null,"content":"<p>The GMAT integrated reasoning questions test how well you apply logical reasoning to real-life situations. Here are some tips to guide you through this unusual section of questions:</p>\n<ul>\n<li>Sift through information to determine what is relevant.</li>\n<li>Carefully read questions and graphical or visual representations of information.</li>\n<li>Be prepared to draw inferences and make judgment, recognize cause and effect, identify relationships in information, and apply rules or principles from provided information.</li>\n<li>Expect to perform simple computations, such as percent change or averages.</li>\n<li>Ignore excess data that you don’t need.</li>\n<li>Answer questions based on the information given, not on your personal knowledge.</li>\n<li>Use the noteboard to keep track of information.</li>\n<li>Use the onscreen calculator only when necessary.</li>\n<li>Pace yourself so that you can answer all the questions and subparts in the given timeframe.</li>\n</ul>\n"},{"title":"Guidelines for answering the data sufficiency questions","thumb":null,"image":null,"content":"<p>Data sufficiency questions require that you analyze the data in two statements and determine whether at some point there is <em>sufficient</em> information for you to answer the question. Here are some guidelines for approaching this question type, which is unique to the data insights section of the GMAT:</p>\n<ul>\n<li>Memorize the five fixed answer choices so you don’t have to refer to them.</li>\n<li>Read carefully to know exactly what the question posed is asking.</li>\n<li>Avoid making unwarranted assumptions, such as assuming the variable <em>x</em> is always positive.</li>\n<li>Be sure to check whether the second statement is sufficient when the first statement is determined to be sufficient.</li>\n<li>When the question posed asks for the value of a quantity, decide given information is sufficient only if exactly <u>one</u> numerical value for the quantity can be determined.</li>\n<li>When the question posed is a yes or no question, decide given information is sufficient only if a <u>definite</u> yes or no answer is possible.</li>\n<li>Don’t work out solutions to the question posed unless you can’t decide sufficiency without doing so.</li>\n<li>Use the onscreen calculator as needed.</li>\n<li>If a question is taking too much time, make a strategic guess and move on.</li>\n</ul>\n"},{"title":"Math questions tips and tricks","thumb":null,"image":null,"content":"<p>Does the thought of taking the GMAT math test make you break out in a cold sweat? Relax, and use these tips and tricks to help you tackle the quantitative section of the GMAT:</p>\n<ul>\n<li>Be prepared to use your knowledge of basic math, probability and statistics, algebra, and problem solving.</li>\n<li>Memorize formulas and other common math knowledge beforehand.</li>\n<li>Write expressions and sketch diagrams on the erasable noteboard correctly.</li>\n<li>Avoid making arithmetic or algebra mistakes.</li>\n<li>Check to make sure you didn’t overlook something when formulating an equation.</li>\n<li>Read all the answer choices before you select an answer.</li>\n<li>Eliminate answer choices that don’t make sense.</li>\n<li>If a question is taking too much time, make a strategic guess and move on.</li>\n</ul>\n"},{"title":"Tips for the reading comprehension questions","thumb":null,"image":null,"content":"<p>GMAT reading questions are designed to test how well you extract information from a passage. So follow these suggestions when answering the reading comprehension questions in the verbal section of the GMAT:</p>\n<ul>\n<li>Read the entire passage. Don’t skim.</li>\n<li>Read the question prompt and ask yourself what type of question it is: is it asking for the main idea, for a fact from the passage, for the best answer based on your inferring, about the style and tone, or is it another type?</li>\n<li>Eliminate answer choices you know cannot be correct. Then return to the passage and look for your answer.</li>\n<li>In questions about the author’s tone, remember that the reading comprehension passages are usually written in fairly neutral style.</li>\n<li>In vocabulary questions, avoid guessing on a big word you don’t know just because it sounds impressive.</li>\n<li>When answering an inference question, look for logical hops in thinking, not giant, unsubstantiated leaps.</li>\n</ul>\n"},{"title":"Tips and tricks for the critical reasoning questions","thumb":null,"image":null,"content":"<p>The critical reasoning questions on the GMAT are all about using logic. To maximize your potential on the critical reasoning questions in the verbal section of the GMAT, use these helpful techniques:</p>\n<ul>\n<li>There are several different types of critical reasoning questions, so it’s a good idea to read the question first before the passage. That will help you establish what the question is looking for: to support the argument, to weaken it, to conclude it, etc.</li>\n<li>Some passages have multiple questions. Always consider them separately.</li>\n<li>Do not bring your own knowledge to the question. Use only the passage provided.</li>\n<li>Remember that the argument presented is likely to be weak or flawed.</li>\n<li>Most critical reasoning questions will ask you to strengthen or weaken the author’s logic. It’s therefore important to be able to explain what the logic – not just the topic – is. If you can find the spine of the logic, you’ll be in better shape to weaken or support it.</li>\n</ul>\n"}],"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":"One year","lifeExpectancySetFrom":"2024-09-05T00:00:00+00:00","dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":208102},{"headers":{"creationTime":"2019-01-31T05:15:57+00:00","modifiedTime":"2024-10-05T21:00:30+00:00","timestamp":"2024-10-05T21:01:03+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Study Skills & Test Prep","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33772"},"slug":"study-skills-test-prep","categoryId":33772},{"name":"GMAT","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33784"},"slug":"gmat","categoryId":33784}],"title":"Practice for GMAT Reading Comprehension Questions","strippedTitle":"practice for gmat reading comprehension questions","slug":"gmat-verbal-section-practice-reading-comprehension","canonicalUrl":"","浏览游戏模块系统调整":{"metaDescription":"In the Reading Comprehension section of the GMAT, you're given a reading passage and then asked two to three questions about it.","noIndex":0,"noFollow":0},"content":"The Reading Comprehension portion of the GMAT is about 12 questions (more or less) in the Verbal section. In Reading Comprehension, you are shown a reading passage of one to three paragraphs, along with between two and six questions about each passage. You can refer to the passage while you answer each question about it.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\nBoth practice questions are based on the following passage.\r\n<blockquote>The \"morning star\" isn't a star; it's always a planet. And sometimes two Morning Stars appear at once, such as Mercury and Venus. <strong>The same idea applies to the \"evening star\": You're seeing a planet, and you may see more than one. \"Shooting stars\" and \"falling stars\" are misnomers, too. These \"stars\" are meteors — the flashes of light caused by small meteoroids falling through Earth's atmosphere.</strong> Many of the \"superstars\" you see on television may be just flashes in the pan, but they at least get 15 minutes of fame.\r\n\r\n— From <em>Astronomy For Dummies,</em> by Stephen P. Maran</blockquote>\r\n<ol>\r\n \t<li>Which of the following titles would be the most appropriate for the contents of this passage?\r\n<strong>A.</strong> 15 Minutes of Celestial Fame<strong>B.</strong> What Was That Flash?\r\n\r\n<strong>C.</strong> Explaining the Evening Star\r\n\r\n<strong>D.</strong> Don't Wish on the Morning Star!\r\n\r\n<strong>E.</strong> Some Stars Aren't What You Think!</li>\r\n \t<li>Which of the following situations is most similar to that described in the bolded section?\r\n<strong>A.</strong> A group of teenagers identifying the constellations in the sky based on what they learned in their freshman year science class.<strong>B.</strong> A couple looks through a telescope to try to see Jupiter's rings but the sky is too cloudy.\r\n\r\n<strong>C.</strong> A group of people on a boat spot what they think is a pack of dolphins in the ocean in the distance, but the captain informs them they're actually looking at buoys bouncing in the water.\r\n\r\n<strong>D.</strong> A man thinks he won the city marathon but he actually misread his time and came in second.\r\n\r\n<strong>E.</strong> A group of friends follow what they think is the sound of a band playing, and end up dancing the night away at a club.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li><strong>The correct answer is E. </strong>The best title captures some understanding of the main point of the passage, which is that the Evening and Morning Stars are not actually stars at all. Choice (E) is the best of the answers here.</li>\r\n \t<li><strong>The correct answer is C. </strong>The passage describes mistaking one thing for another, which is clarified by an expert (in that case, the author). Choice (C) describes a similar phenomenon.</li>\r\n</ol>","description":"The Reading Comprehension portion of the GMAT is about 12 questions (more or less) in the Verbal section. In Reading Comprehension, you are shown a reading passage of one to three paragraphs, along with between two and six questions about each passage. You can refer to the passage while you answer each question about it.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\nBoth practice questions are based on the following passage.\r\n<blockquote>The \"morning star\" isn't a star; it's always a planet. And sometimes two Morning Stars appear at once, such as Mercury and Venus. <strong>The same idea applies to the \"evening star\": You're seeing a planet, and you may see more than one. \"Shooting stars\" and \"falling stars\" are misnomers, too. These \"stars\" are meteors — the flashes of light caused by small meteoroids falling through Earth's atmosphere.</strong> Many of the \"superstars\" you see on television may be just flashes in the pan, but they at least get 15 minutes of fame.\r\n\r\n— From <em>Astronomy For Dummies,</em> by Stephen P. Maran</blockquote>\r\n<ol>\r\n \t<li>Which of the following titles would be the most appropriate for the contents of this passage?\r\n<strong>A.</strong> 15 Minutes of Celestial Fame<strong>B.</strong> What Was That Flash?\r\n\r\n<strong>C.</strong> Explaining the Evening Star\r\n\r\n<strong>D.</strong> Don't Wish on the Morning Star!\r\n\r\n<strong>E.</strong> Some Stars Aren't What You Think!</li>\r\n \t<li>Which of the following situations is most similar to that described in the bolded section?\r\n<strong>A.</strong> A group of teenagers identifying the constellations in the sky based on what they learned in their freshman year science class.<strong>B.</strong> A couple looks through a telescope to try to see Jupiter's rings but the sky is too cloudy.\r\n\r\n<strong>C.</strong> A group of people on a boat spot what they think is a pack of dolphins in the ocean in the distance, but the captain informs them they're actually looking at buoys bouncing in the water.\r\n\r\n<strong>D.</strong> A man thinks he won the city marathon but he actually misread his time and came in second.\r\n\r\n<strong>E.</strong> A group of friends follow what they think is the sound of a band playing, and end up dancing the night away at a club.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li><strong>The correct answer is E. </strong>The best title captures some understanding of the main point of the passage, which is that the Evening and Morning Stars are not actually stars at all. Choice (E) is the best of the answers here.</li>\r\n \t<li><strong>The correct answer is C. </strong>The passage describes mistaking one thing for another, which is clarified by an expert (in that case, the author). Choice (C) describes a similar phenomenon.</li>\r\n</ol>","blurb":"","authors":[{"authorId":11243,"name":"Sandra Luna McCune","slug":"sandra-luna-mccune","description":" <p><b>Lisa Zimmer Hatch </b>served as VP of The Center for Legal Studies, where she created standardized test preparation. Currently, she is an Independent College Counselor and president of College Primers.</p> <p><b>Scott A. Hatch</b> develops courses for a variety of careers and assists those seeking advanced degrees in law, business, and other professions. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/11243"}},{"authorId":10930,"name":"Shannon Reed","slug":"shannon-reed","description":" <p><b>Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She&#39;s now a full&#45;time author. <b>Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. 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Austin State University. She's now a full-time author. <b data-author-id=\"10930\">Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. </p>","authors":[{"authorId":11243,"name":"Sandra Luna McCune","slug":"sandra-luna-mccune","description":" <p><b>Lisa Zimmer Hatch </b>served as VP of The Center for Legal Studies, where she created standardized test preparation. Currently, she is an Independent College Counselor and president of College Primers.</p> <p><b>Scott A. Hatch</b> develops courses for a variety of careers and assists those seeking advanced degrees in law, business, and other professions. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/11243"}},{"authorId":10930,"name":"Shannon Reed","slug":"shannon-reed","description":" <p><b>Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She&#39;s now a full&#45;time author. <b>Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/10930"}}],"_links":{"self":"//dummies-api.coursofppt.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;study-skills-test-prep&quot;,&quot;gmat&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119363125&quot;]}]\" id=\"du-slot-651f240f7af56\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;study-skills-test-prep&quot;,&quot;gmat&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119363125&quot;]}]\" id=\"du-slot-651f240f7bc9c\"></div></div>"},"articleType":{"articleType":"Articles","articleList":null,"content":null,"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":"Five years","lifeExpectancySetFrom":"2024-05-03T00:00:00+00:00","dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":249431},{"headers":{"creationTime":"2019-01-31T05:10:10+00:00","modifiedTime":"2024-09-29T19:22:47+00:00","timestamp":"2024-09-29T21:01:03+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Study Skills & Test Prep","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33772"},"slug":"study-skills-test-prep","categoryId":33772},{"name":"GMAT","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33784"},"slug":"gmat","categoryId":33784}],"title":"Practice Data Sufficiency Word Problems for the GMAT","strippedTitle":"practice data sufficiency word problems for the gmat","slug":"gmat-quantitative-data-sufficiency-practice-word-problems","canonicalUrl":"","浏览游戏模块系统调整":{"metaDescription":"Data sufficiency problems on the GMAT pose a question, followed by two statements. Learn what you need to do to solve these problems.","noIndex":0,"noFollow":0},"content":"Data sufficiency questions on the GMAT will sometimes appear as word problems. These problems can cover a wide range of topics, including percentages, rate-time-distance, consecutive integers, ages, work rate, coins, mixtures, divisibility, factors, sequences, and equation setup.\r\n\r\nEach data sufficiency problem poses a question, followed by two statements. Your task is to evaluate the statements to determine at what point there is or is not sufficient information to answer the question.\r\n<p class=\"article-tips remember\">Unlike the problem solving questions, you do not actually have to answer the question posed. Instead, you select one of five fixed answer choices that offer different options about the sufficiency of the information provided in the two statements.</p>\r\n\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n \t<li>A retail store sent out a promotional offer to 300 former customers and 700 potential customers. What percent of the total number of people who received the promotional offer gave a favorable response?(1) The store received a favorable response from 30 percent of the former customers.(2) The store received a favorable response from 20 percent of the potential customers.\r\n\r\n<strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n \t<li>If a sequence <em>A</em> has 200 terms, what is the 100th term of <em><em>A?</em></em>(1) The first term of sequence A is .<em>\r\n</em>\r\n(2) Each term of sequence <em>A</em> after the first term is 15 more than the preceding term.<strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li>The correct answer is C.Let <em>F</em> = the number of favorable responses from former customers and <em>P</em> = the number of favorable responses from potential customers. Then the percent of favorable responses is<img class=\"alignnone size-full wp-image-249423\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1501.jpg\" alt=\"GMAT_1501\" width=\"257\" height=\"48\" />\r\n\r\nFrom (1), , which you can substitute into\r\n\r\n<img class=\"alignnone size-full wp-image-249424\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1502.jpg\" alt=\"GMAT_1502\" width=\"295\" height=\"48\" />\r\n\r\nThe value of this quantity can vary, so without additional information, you cannot determine an exact value of\r\n\r\n<img class=\"alignnone size-full wp-image-249425\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1503.jpg\" alt=\"GMAT_1503\" width=\"105\" height=\"48\" />\r\n\r\nThus, (1) is not sufficient. From (2), <em>P</em> = 20% (700) = 140, which you can substitute into\r\n\r\n<img class=\"alignnone size-full wp-image-249426\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1504.jpg\" alt=\"GMAT_1504\" width=\"301\" height=\"48\" />\r\n\r\nThe value of this quantity can vary, so without additional information, you cannot determine an exact value of\r\n\r\n<img class=\"alignnone size-full wp-image-249427\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1505.jpg\" alt=\"GMAT_1505\" width=\"109\" height=\"48\" />\r\n\r\nThus, (2) is not sufficient.\r\n\r\nTaking (1) and (2) together,\r\n\r\n<img class=\"alignnone size-full wp-image-249428\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1506.jpg\" alt=\"GMAT_1506\" width=\"128\" height=\"48\" />\r\n\r\nTherefore, both statements together are sufficient, but neither statement alone is sufficient.</li>\r\n \t<li>The correct answer is C.Let <em>a</em><sub>1</sub> = the first term of sequence <em>A,</em> and a<sub>100</sub> = the hundredth term of sequence <em>A</em>. From (1), <em>a</em><sub>1</sub> = –10. But without additional information, you cannot determine subsequent terms, including an exact value of <em>a</em><sub>100</sub>. Thus, (1) is not sufficient.From (2), <em>a</em><sub>1</sub> = <em>a</em><sub>1</sub>, <em>a</em><sub>2</sub> = <em>a</em><sub>1</sub> + 15,<em> a</em><sub>3</sub> = <em>a</em><sub>1</sub> + (2)(15), <em>a</em><sub>4</sub> = <em>a</em><sub>1</sub> + (3)(15), and so on. Hence, <em>a</em><sub>100</sub> = <em>a</em><sub>1</sub> + (99)(15). But without additional information, you cannot determine an exact value of<em> a</em><sub>100</sub>. Thus, (2) is not sufficient.\r\n\r\nTaking (1) and (2) together, the exact value of the 100th term is <em>a</em><sub>100</sub> = (–10) + (99)(15). Therefore, both statements together are sufficient, but neither statement alone is sufficient.</li>\r\n</ol>","description":"Data sufficiency questions on the GMAT will sometimes appear as word problems. These problems can cover a wide range of topics, including percentages, rate-time-distance, consecutive integers, ages, work rate, coins, mixtures, divisibility, factors, sequences, and equation setup.\r\n\r\nEach data sufficiency problem poses a question, followed by two statements. Your task is to evaluate the statements to determine at what point there is or is not sufficient information to answer the question.\r\n<p class=\"article-tips remember\">Unlike the problem solving questions, you do not actually have to answer the question posed. Instead, you select one of five fixed answer choices that offer different options about the sufficiency of the information provided in the two statements.</p>\r\n\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n \t<li>A retail store sent out a promotional offer to 300 former customers and 700 potential customers. What percent of the total number of people who received the promotional offer gave a favorable response?(1) The store received a favorable response from 30 percent of the former customers.(2) The store received a favorable response from 20 percent of the potential customers.\r\n\r\n<strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n \t<li>If a sequence <em>A</em> has 200 terms, what is the 100th term of <em><em>A?</em></em>(1) The first term of sequence A is .<em>\r\n</em>\r\n(2) Each term of sequence <em>A</em> after the first term is 15 more than the preceding term.<strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li>The correct answer is C.Let <em>F</em> = the number of favorable responses from former customers and <em>P</em> = the number of favorable responses from potential customers. Then the percent of favorable responses is<img class=\"alignnone size-full wp-image-249423\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1501.jpg\" alt=\"GMAT_1501\" width=\"257\" height=\"48\" />\r\n\r\nFrom (1), , which you can substitute into\r\n\r\n<img class=\"alignnone size-full wp-image-249424\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1502.jpg\" alt=\"GMAT_1502\" width=\"295\" height=\"48\" />\r\n\r\nThe value of this quantity can vary, so without additional information, you cannot determine an exact value of\r\n\r\n<img class=\"alignnone size-full wp-image-249425\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1503.jpg\" alt=\"GMAT_1503\" width=\"105\" height=\"48\" />\r\n\r\nThus, (1) is not sufficient. From (2), <em>P</em> = 20% (700) = 140, which you can substitute into\r\n\r\n<img class=\"alignnone size-full wp-image-249426\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1504.jpg\" alt=\"GMAT_1504\" width=\"301\" height=\"48\" />\r\n\r\nThe value of this quantity can vary, so without additional information, you cannot determine an exact value of\r\n\r\n<img class=\"alignnone size-full wp-image-249427\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1505.jpg\" alt=\"GMAT_1505\" width=\"109\" height=\"48\" />\r\n\r\nThus, (2) is not sufficient.\r\n\r\nTaking (1) and (2) together,\r\n\r\n<img class=\"alignnone size-full wp-image-249428\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1506.jpg\" alt=\"GMAT_1506\" width=\"128\" height=\"48\" />\r\n\r\nTherefore, both statements together are sufficient, but neither statement alone is sufficient.</li>\r\n \t<li>The correct answer is C.Let <em>a</em><sub>1</sub> = the first term of sequence <em>A,</em> and a<sub>100</sub> = the hundredth term of sequence <em>A</em>. From (1), <em>a</em><sub>1</sub> = –10. But without additional information, you cannot determine subsequent terms, including an exact value of <em>a</em><sub>100</sub>. Thus, (1) is not sufficient.From (2), <em>a</em><sub>1</sub> = <em>a</em><sub>1</sub>, <em>a</em><sub>2</sub> = <em>a</em><sub>1</sub> + 15,<em> a</em><sub>3</sub> = <em>a</em><sub>1</sub> + (2)(15), <em>a</em><sub>4</sub> = <em>a</em><sub>1</sub> + (3)(15), and so on. Hence, <em>a</em><sub>100</sub> = <em>a</em><sub>1</sub> + (99)(15). But without additional information, you cannot determine an exact value of<em> a</em><sub>100</sub>. Thus, (2) is not sufficient.\r\n\r\nTaking (1) and (2) together, the exact value of the 100th term is <em>a</em><sub>100</sub> = (–10) + (99)(15). Therefore, both statements together are sufficient, but neither statement alone is sufficient.</li>\r\n</ol>","blurb":"","authors":[{"authorId":11243,"name":"Sandra Luna McCune","slug":"sandra-luna-mccune","description":" <p><b>Lisa Zimmer Hatch </b>served as VP of The Center for Legal Studies, where she created standardized test preparation. Currently, she is an Independent College Counselor and president of College Primers.</p> <p><b>Scott A. Hatch</b> develops courses for a variety of careers and assists those seeking advanced degrees in law, business, and other professions. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/11243"}},{"authorId":10930,"name":"Shannon Reed","slug":"shannon-reed","description":" <p><b>Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She&#39;s now a full&#45;time author. <b>Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/10930"}}],"primaryCategoryTaxonomy":{"categoryId":33784,"title":"GMAT","slug":"gmat","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33784"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[{"label":"Practice questions","target":"#tab1"},{"label":"Answers and explanations","target":"#tab2"}],"relatedArticles":{"fromBook":[{"articleId":249437,"title":"GMAT Practice Questions: Sentence Completion","slug":"gmat-verbal-section-practice-sentence-completion","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249437"}},{"articleId":249434,"title":"GMAT Verbal Section: Practice with Critical Reasoning","slug":"gmat-verbal-section-practice-critical-reasoning","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249434"}},{"articleId":249431,"title":"Practice for GMAT Reading Comprehension Questions","slug":"gmat-verbal-section-practice-reading-comprehension","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249431"}},{"articleId":249416,"title":"What To Know for GMAT Data Sufficiency Problems","slug":"gmat-quantitative-data-sufficiency-practice-geometry","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249416"}},{"articleId":249412,"title":"GMAT Quantitative Data Sufficiency: Practice with Algebra","slug":"gmat-quantitative-data-sufficiency-practice-algebra","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249412"}}],"fromCategory":[{"articleId":283513,"title":"The Coordinate Plane and the GMAT","slug":"the-coordinate-plane-and-the-gmat","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283513"}},{"articleId":283506,"title":"Multi-Source Reasoning Questions on the GMAT","slug":"multi-source-reasoning-questions-on-the-gmat","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283506"}},{"articleId":283501,"title":"Table Analysis Questions on the GMAT","slug":"table-analysis-questions-on-the-gmat","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283501"}},{"articleId":283496,"title":"Preparing for Integrated Reasoning on the GMAT","slug":"what-the-gmats-integrated-reasoning-section-is-all-about","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283496"}},{"articleId":249437,"title":"GMAT Practice Questions: Sentence Completion","slug":"gmat-verbal-section-practice-sentence-completion","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249437"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":282245,"slug":"gmat-1001-practice-questions-for-dummies","isbn":"9781119363125","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"amazon":{"default":"//www.amazon.com/gp/product/1119363128/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"//www.amazon.ca/gp/product/1119363128/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"//www.tkqlhce.com/click-9208661-13710633?url=//www.chapters.indigo.ca/en-ca/books/product/1119363128-item.html&cjsku=978111945484","gb":"//www.amazon.co.uk/gp/product/1119363128/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"//www.amazon.de/gp/product/1119363128/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"//coursofppt.com/wp-content/uploads/gmat-1001-practice-questions-for-dummies-cover-9781119363125-204x255.jpg","width":204,"height":255},"title":"GMAT","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"<p><b data-author-id=\"11243\">Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She's now a full-time author. <b data-author-id=\"10930\">Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. </p>","authors":[{"authorId":11243,"name":"Sandra Luna McCune","slug":"sandra-luna-mccune","description":" <p><b>Lisa Zimmer Hatch </b>served as VP of The Center for Legal Studies, where she created standardized test preparation. Currently, she is an Independent College Counselor and president of College Primers.</p> <p><b>Scott A. Hatch</b> develops courses for a variety of careers and assists those seeking advanced degrees in law, business, and other professions. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/11243"}},{"authorId":10930,"name":"Shannon Reed","slug":"shannon-reed","description":" <p><b>Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She&#39;s now a full&#45;time author. <b>Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/10930"}}],"_links":{"self":"//dummies-api.coursofppt.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;study-skills-test-prep&quot;,&quot;gmat&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119363125&quot;]}]\" id=\"du-slot-65173b0f3b734\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;study-skills-test-prep&quot;,&quot;gmat&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119363125&quot;]}]\" id=\"du-slot-65173b0f3c03f\"></div></div>"},"articleType":{"articleType":"Articles","articleList":null,"content":null,"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":"Two years","lifeExpectancySetFrom":"2024-06-09T00:00:00+00:00","dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":249422},{"headers":{"creationTime":"2019-01-31T04:53:09+00:00","modifiedTime":"2024-09-29T18:56:48+00:00","timestamp":"2024-09-29T21:01:02+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Study Skills & Test Prep","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33772"},"slug":"study-skills-test-prep","categoryId":33772},{"name":"GMAT","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33784"},"slug":"gmat","categoryId":33784}],"title":"What To Know for GMAT Data Sufficiency Problems","strippedTitle":"what to know for gmat data sufficiency problems","slug":"gmat-quantitative-data-sufficiency-practice-geometry","canonicalUrl":"","浏览游戏模块系统调整":{"metaDescription":"Some of the questions in the GMAT's Quantitative section will be data sufficiency questions. Here's how to tackle them, and some practice problems.","noIndex":0,"noFollow":0},"content":"The GMAT Quantitative section will contain problems that test your geometry skills, and some of these problems may appear as data sufficiency questions. You should be able to tackle lines, angles, two-dimensional shapes, three-dimensional solids, perimeter, area, surface area, volume, the Pythagorean theorem, and coordinate geometry.\r\n\r\nEach data sufficiency problem poses a question, followed by two statements. Your task is to evaluate the statements to determine at what point there is or is not sufficient information to answer the question.\r\n<p class=\"article-tips remember\">Unlike the problem solving questions, you do not actually have to answer the question posed. Instead, you select one of five fixed answer choices that offer different options about the sufficiency of the information provided in the two statements.</p>\r\n\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n \t<li>In the figure shown here, what is the value of <em>z?</em>(1) <em>m</em> = <em>n</em>(2) <em>y</em> = 88\r\n\r\n<img class=\"alignnone size-full wp-image-249292\" src=\"//coursofppt.com/wp-content/uploads/9781119363125-fg0401.jpg\" alt=\"gmat-geometry\" width=\"450\" height=\"173\" />\r\n\r\n<strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n \t<li>The circumference of circle X is 1/2 the circumference of circle Y. What is the area of circle X?<img class=\"alignnone size-full wp-image-249315\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1401.jpg\" alt=\"GMAT_1401\" width=\"324\" height=\"60\" /><strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li>The correct answer is B.From (1), <em>m</em> = <em>n</em> implies <em>x</em> = <em>z</em> (because base angles of an isosceles triangle are congruent). However, without additional information, you cannot determine the value of <em>x</em> or <em>z.</em> Thus, (1) is not sufficient.From (2), because the measure of an exterior angle of a triangle equals the sum of the measures of the nonadjacent interior angles, 88 = 54 + <em>z</em>, which you can solve for <em>z</em>. Thus, (2) is sufficient. Therefore, statement (2) alone is sufficient.</li>\r\n \t<li>The correct answer is D.Recall that a circle with radius <em>r</em> has circumference equal to 2<em>πr </em>and area equal to <em>πr</em><sup>2</sup>. From (1), in circle Y,<img class=\"alignnone size-full wp-image-249417\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1404.jpg\" alt=\"GMAT_1404\" width=\"263\" height=\"28\" />\r\n\r\nso <em>r</em>, the radius of circle Y, is 10 feet. Then given that the circumference of circle X equals 1/2 the circumference of circle Y, the circumference of circle X is\r\n\r\n<img class=\"alignnone size-full wp-image-249418\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1405.jpg\" alt=\"GMAT_1405\" width=\"167\" height=\"45\" />\r\n\r\nwhich implies the radius of circle X is 5 feet and its area is\r\n\r\n<img class=\"alignnone size-full wp-image-249419\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1406.jpg\" alt=\"GMAT_1406\" width=\"63\" height=\"37\" />\r\n\r\nThus, (1) is sufficient.\r\n\r\nFrom (2), you know from (1) that if the circumference of circle Y is known, you can proceed as in (1) to determine circle X's area. Thus, (2) is sufficient. Therefore, each statement alone is sufficient.</li>\r\n</ol>","description":"The GMAT Quantitative section will contain problems that test your geometry skills, and some of these problems may appear as data sufficiency questions. You should be able to tackle lines, angles, two-dimensional shapes, three-dimensional solids, perimeter, area, surface area, volume, the Pythagorean theorem, and coordinate geometry.\r\n\r\nEach data sufficiency problem poses a question, followed by two statements. Your task is to evaluate the statements to determine at what point there is or is not sufficient information to answer the question.\r\n<p class=\"article-tips remember\">Unlike the problem solving questions, you do not actually have to answer the question posed. Instead, you select one of five fixed answer choices that offer different options about the sufficiency of the information provided in the two statements.</p>\r\n\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n \t<li>In the figure shown here, what is the value of <em>z?</em>(1) <em>m</em> = <em>n</em>(2) <em>y</em> = 88\r\n\r\n<img class=\"alignnone size-full wp-image-249292\" src=\"//coursofppt.com/wp-content/uploads/9781119363125-fg0401.jpg\" alt=\"gmat-geometry\" width=\"450\" height=\"173\" />\r\n\r\n<strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n \t<li>The circumference of circle X is 1/2 the circumference of circle Y. What is the area of circle X?<img class=\"alignnone size-full wp-image-249315\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1401.jpg\" alt=\"GMAT_1401\" width=\"324\" height=\"60\" /><strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li>The correct answer is B.From (1), <em>m</em> = <em>n</em> implies <em>x</em> = <em>z</em> (because base angles of an isosceles triangle are congruent). However, without additional information, you cannot determine the value of <em>x</em> or <em>z.</em> Thus, (1) is not sufficient.From (2), because the measure of an exterior angle of a triangle equals the sum of the measures of the nonadjacent interior angles, 88 = 54 + <em>z</em>, which you can solve for <em>z</em>. Thus, (2) is sufficient. Therefore, statement (2) alone is sufficient.</li>\r\n \t<li>The correct answer is D.Recall that a circle with radius <em>r</em> has circumference equal to 2<em>πr </em>and area equal to <em>πr</em><sup>2</sup>. From (1), in circle Y,<img class=\"alignnone size-full wp-image-249417\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1404.jpg\" alt=\"GMAT_1404\" width=\"263\" height=\"28\" />\r\n\r\nso <em>r</em>, the radius of circle Y, is 10 feet. Then given that the circumference of circle X equals 1/2 the circumference of circle Y, the circumference of circle X is\r\n\r\n<img class=\"alignnone size-full wp-image-249418\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1405.jpg\" alt=\"GMAT_1405\" width=\"167\" height=\"45\" />\r\n\r\nwhich implies the radius of circle X is 5 feet and its area is\r\n\r\n<img class=\"alignnone size-full wp-image-249419\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1406.jpg\" alt=\"GMAT_1406\" width=\"63\" height=\"37\" />\r\n\r\nThus, (1) is sufficient.\r\n\r\nFrom (2), you know from (1) that if the circumference of circle Y is known, you can proceed as in (1) to determine circle X's area. Thus, (2) is sufficient. Therefore, each statement alone is sufficient.</li>\r\n</ol>","blurb":"","authors":[{"authorId":11243,"name":"Sandra Luna McCune","slug":"sandra-luna-mccune","description":" <p><b>Lisa Zimmer Hatch </b>served as VP of The Center for Legal Studies, where she created standardized test preparation. Currently, she is an Independent College Counselor and president of College Primers.</p> <p><b>Scott A. Hatch</b> develops courses for a variety of careers and assists those seeking advanced degrees in law, business, and other professions. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/11243"}},{"authorId":10930,"name":"Shannon Reed","slug":"shannon-reed","description":" <p><b>Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She&#39;s now a full&#45;time author. <b>Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/10930"}}],"primaryCategoryTaxonomy":{"categoryId":33784,"title":"GMAT","slug":"gmat","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33784"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[{"label":"Practice questions","target":"#tab1"},{"label":"Answers and explanations","target":"#tab2"}],"relatedArticles":{"fromBook":[{"articleId":249437,"title":"GMAT Practice Questions: Sentence Completion","slug":"gmat-verbal-section-practice-sentence-completion","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249437"}},{"articleId":249434,"title":"GMAT Verbal Section: Practice with Critical Reasoning","slug":"gmat-verbal-section-practice-critical-reasoning","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249434"}},{"articleId":249431,"title":"Practice for GMAT Reading Comprehension Questions","slug":"gmat-verbal-section-practice-reading-comprehension","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249431"}},{"articleId":249422,"title":"Practice Data Sufficiency Word Problems for the GMAT","slug":"gmat-quantitative-data-sufficiency-practice-word-problems","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249422"}},{"articleId":249412,"title":"GMAT Quantitative Data Sufficiency: Practice with Algebra","slug":"gmat-quantitative-data-sufficiency-practice-algebra","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249412"}}],"fromCategory":[{"articleId":283513,"title":"The Coordinate Plane and the GMAT","slug":"the-coordinate-plane-and-the-gmat","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283513"}},{"articleId":283506,"title":"Multi-Source Reasoning Questions on the GMAT","slug":"multi-source-reasoning-questions-on-the-gmat","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283506"}},{"articleId":283501,"title":"Table Analysis Questions on the GMAT","slug":"table-analysis-questions-on-the-gmat","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283501"}},{"articleId":283496,"title":"Preparing for Integrated Reasoning on the GMAT","slug":"what-the-gmats-integrated-reasoning-section-is-all-about","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283496"}},{"articleId":249437,"title":"GMAT Practice Questions: Sentence Completion","slug":"gmat-verbal-section-practice-sentence-completion","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249437"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":282245,"slug":"gmat-1001-practice-questions-for-dummies","isbn":"9781119363125","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"amazon":{"default":"//www.amazon.com/gp/product/1119363128/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"//www.amazon.ca/gp/product/1119363128/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"//www.tkqlhce.com/click-9208661-13710633?url=//www.chapters.indigo.ca/en-ca/books/product/1119363128-item.html&cjsku=978111945484","gb":"//www.amazon.co.uk/gp/product/1119363128/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"//www.amazon.de/gp/product/1119363128/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"//coursofppt.com/wp-content/uploads/gmat-1001-practice-questions-for-dummies-cover-9781119363125-204x255.jpg","width":204,"height":255},"title":"GMAT","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"<p><b data-author-id=\"11243\">Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She's now a full-time author. <b data-author-id=\"10930\">Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. </p>","authors":[{"authorId":11243,"name":"Sandra Luna McCune","slug":"sandra-luna-mccune","description":" <p><b>Lisa Zimmer Hatch </b>served as VP of The Center for Legal Studies, where she created standardized test preparation. Currently, she is an Independent College Counselor and president of College Primers.</p> <p><b>Scott A. Hatch</b> develops courses for a variety of careers and assists those seeking advanced degrees in law, business, and other professions. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/11243"}},{"authorId":10930,"name":"Shannon Reed","slug":"shannon-reed","description":" <p><b>Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She&#39;s now a full&#45;time author. <b>Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/10930"}}],"_links":{"self":"//dummies-api.coursofppt.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;study-skills-test-prep&quot;,&quot;gmat&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119363125&quot;]}]\" id=\"du-slot-65173b0eda459\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;study-skills-test-prep&quot;,&quot;gmat&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119363125&quot;]}]\" id=\"du-slot-65173b0edb4c4\"></div></div>"},"articleType":{"articleType":"Articles","articleList":null,"content":null,"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":"Five years","lifeExpectancySetFrom":"2024-05-03T00:00:00+00:00","dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":249416},{"headers":{"creationTime":"2019-01-31T05:32:27+00:00","modifiedTime":"2024-04-18T20:47:01+00:00","timestamp":"2024-04-18T21:01:03+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Study Skills & Test Prep","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33772"},"slug":"study-skills-test-prep","categoryId":33772},{"name":"GMAT","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33784"},"slug":"gmat","categoryId":33784}],"title":"GMAT Practice Questions: Sentence Completion","strippedTitle":"gmat practice questions: sentence completion","slug":"gmat-verbal-section-practice-sentence-completion","canonicalUrl":"","浏览游戏模块系统调整":{"metaDescription":"The Sentence Completion section on the GMAT consists of about 12 questions in the Verbal section. You are presented with a sentence that may contain a grammatic","noIndex":0,"noFollow":0},"content":"The Sentence Completion section on the GMAT consists of about 12 questions in the Verbal section. You are presented with a sentence that may contain a grammatical error in the underlined portion.\r\n\r\nThe first answer choice presents the underlined portion as written, while the following answer choices make corrections in some way.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n \t<li>Alexander Graham Bell was a gifted inventor, <u>but they did not know how his invention of the telephone would change the world</u>.<strong>A.</strong> but they did not know how his invention of the telephone would change the world.\r\n\r\n<strong>B.</strong> but they did not know how his invention of the telephone would change the world back then.\r\n\r\n<strong>C.</strong> but he did not know how his invention of the telephone would change the world at that time.\r\n\r\n<strong>D.</strong> but neither he nor anyone else knew how his invention of the telephone would change the world.\r\n\r\n<strong>E.</strong> but not gifted enough to see his invention was going to change the world with the invention he made that was the telephone.</li>\r\n \t<li>Liu felt that the exhaust fan in the first examination room was <u><u>more effective than the second.</u></u> \r\n\r\n<strong>A. </strong>more effective than the second. \r\n\r\n<strong>B.</strong> more effective than the exhaust fan in the second examination room.<strong>C.</strong> more effective that she expected.\r\n\r\n<strong>D.</strong> the most effective exhaust fan.\r\n\r\n<strong>E.</strong> more effective than what she had noticed in the second examination room.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li><strong>The correct answer is D.</strong>Alexander Graham Bell was a gifted inventor, <u>but neither he nor anyone else knew how his invention of the telephone would change the world</u>.\r\n\r\nThis is a question about pronoun choices, so ignore those answers which do not address this, including Choice (B) and Choice (E). The sentence as is contains a pronoun error: <em>they</em> does not refer back to <em>Alexander Graham Bell</em> correctly. Choice (C) matches the pronouns correctly, but changes the meaning of the sentence, which refers to how Bell's invention would go on to change the world in the future. Choice (D) does the best job of matching the pronoun and making it clear (by the addition of the phrase <em>nor anyone else</em>) that the sentence is meant to show that no one, including Bell, foresaw how his invention would change the world.</li>\r\n \t<li><strong>The correct answer is B.</strong>Liu felt that the exhaust fan in the first examination room was <u>more effective than the exhaust fan in the second examination room</u>.\r\n\r\nOf the choices provided, Choice (B) is the best. It clarifies that the comparison is between the exhaust fans in two examining rooms, whereas the original leaves it unclear as to what <em>the second</em> is referring to.</li>\r\n</ol>","description":"The Sentence Completion section on the GMAT consists of about 12 questions in the Verbal section. You are presented with a sentence that may contain a grammatical error in the underlined portion.\r\n\r\nThe first answer choice presents the underlined portion as written, while the following answer choices make corrections in some way.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n \t<li>Alexander Graham Bell was a gifted inventor, <u>but they did not know how his invention of the telephone would change the world</u>.<strong>A.</strong> but they did not know how his invention of the telephone would change the world.\r\n\r\n<strong>B.</strong> but they did not know how his invention of the telephone would change the world back then.\r\n\r\n<strong>C.</strong> but he did not know how his invention of the telephone would change the world at that time.\r\n\r\n<strong>D.</strong> but neither he nor anyone else knew how his invention of the telephone would change the world.\r\n\r\n<strong>E.</strong> but not gifted enough to see his invention was going to change the world with the invention he made that was the telephone.</li>\r\n \t<li>Liu felt that the exhaust fan in the first examination room was <u><u>more effective than the second.</u></u> \r\n\r\n<strong>A. </strong>more effective than the second. \r\n\r\n<strong>B.</strong> more effective than the exhaust fan in the second examination room.<strong>C.</strong> more effective that she expected.\r\n\r\n<strong>D.</strong> the most effective exhaust fan.\r\n\r\n<strong>E.</strong> more effective than what she had noticed in the second examination room.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li><strong>The correct answer is D.</strong>Alexander Graham Bell was a gifted inventor, <u>but neither he nor anyone else knew how his invention of the telephone would change the world</u>.\r\n\r\nThis is a question about pronoun choices, so ignore those answers which do not address this, including Choice (B) and Choice (E). The sentence as is contains a pronoun error: <em>they</em> does not refer back to <em>Alexander Graham Bell</em> correctly. Choice (C) matches the pronouns correctly, but changes the meaning of the sentence, which refers to how Bell's invention would go on to change the world in the future. Choice (D) does the best job of matching the pronoun and making it clear (by the addition of the phrase <em>nor anyone else</em>) that the sentence is meant to show that no one, including Bell, foresaw how his invention would change the world.</li>\r\n \t<li><strong>The correct answer is B.</strong>Liu felt that the exhaust fan in the first examination room was <u>more effective than the exhaust fan in the second examination room</u>.\r\n\r\nOf the choices provided, Choice (B) is the best. It clarifies that the comparison is between the exhaust fans in two examining rooms, whereas the original leaves it unclear as to what <em>the second</em> is referring to.</li>\r\n</ol>","blurb":"","authors":[{"authorId":11243,"name":"Sandra Luna McCune","slug":"sandra-luna-mccune","description":" <p><b>Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She&#39;s now a full&#45;time author. <b>Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/11243"}},{"authorId":10930,"name":"Shannon Reed","slug":"shannon-reed","description":" <p><b>Stuart Donnelly, PhD, </b>was awarded a PhD in mathematics from Oxford University. He has prepared students for the TASC test and GED Test for the past two decades.</p> ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/10930"}}],"primaryCategoryTaxonomy":{"categoryId":33784,"title":"GMAT","slug":"gmat","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33784"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[{"label":"Practice questions","target":"#tab1"},{"label":"Answers and explanations","target":"#tab2"}],"relatedArticles":{"fromBook":[{"articleId":249434,"title":"GMAT Verbal Section: Practice with Critical Reasoning","slug":"gmat-verbal-section-practice-critical-reasoning","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249434"}},{"articleId":249431,"title":"GMAT Verbal Section: Practice with Reading Comprehension","slug":"gmat-verbal-section-practice-reading-comprehension","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249431"}},{"articleId":249422,"title":"GMAT Quantitative Data Sufficiency: Practice with Word Problems","slug":"gmat-quantitative-data-sufficiency-practice-word-problems","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249422"}},{"articleId":249416,"title":"GMAT Quantitative Data Sufficiency: Practice with Geometry","slug":"gmat-quantitative-data-sufficiency-practice-geometry","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249416"}},{"articleId":249412,"title":"GMAT Quantitative Data Sufficiency: Practice with Algebra","slug":"gmat-quantitative-data-sufficiency-practice-algebra","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249412"}}],"fromCategory":[{"articleId":283513,"title":"The Coordinate Plane and the GMAT","slug":"the-coordinate-plane-and-the-gmat","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283513"}},{"articleId":283506,"title":"Multi-Source Reasoning Questions on the GMAT","slug":"multi-source-reasoning-questions-on-the-gmat","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283506"}},{"articleId":283501,"title":"Table Analysis Questions on the GMAT","slug":"table-analysis-questions-on-the-gmat","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283501"}},{"articleId":283496,"title":"What the GMAT's Integrated Reasoning Section Is All About","slug":"what-the-gmats-integrated-reasoning-section-is-all-about","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283496"}},{"articleId":249434,"title":"GMAT Verbal Section: Practice with Critical Reasoning","slug":"gmat-verbal-section-practice-critical-reasoning","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249434"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":282245,"slug":"gmat-1001-practice-questions-for-dummies","isbn":"9781119363125","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"amazon":{"default":"//www.amazon.com/gp/product/1119363128/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"//www.amazon.ca/gp/product/1119363128/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"//www.tkqlhce.com/click-9208661-13710633?url=//www.chapters.indigo.ca/en-ca/books/product/1119363128-item.html&cjsku=978111945484","gb":"//www.amazon.co.uk/gp/product/1119363128/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"//www.amazon.de/gp/product/1119363128/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"//coursofppt.com/wp-content/uploads/gmat-1001-practice-questions-for-dummies-cover-9781119363125-204x255.jpg","width":204,"height":255},"title":"GMAT","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"<p><b data-author-id=\"11243\">Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She's now a full-time author. <b data-author-id=\"10930\">Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. </p>","authors":[{"authorId":11243,"name":"Sandra Luna McCune","slug":"sandra-luna-mccune","description":" <p><b>Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She&#39;s now a full&#45;time author. <b>Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/11243"}},{"authorId":10930,"name":"Shannon Reed","slug":"shannon-reed","description":" <p><b>Stuart Donnelly, PhD, </b>was awarded a PhD in mathematics from Oxford University. 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In Critical Reasoning, you are shown a passage that presents an","noIndex":0,"noFollow":0},"content":"The Critical Reasoning section on the GMAT consists of about 12 questions in the Verbal section. In Critical Reasoning, you are shown a passage that presents an argument of some kind (often dealing with a business, government, or education topic).\r\n\r\nSome passages have multiple questions. You must choose the answer that best answers the question based on your understanding of the logic in the passage.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<em>Both practice questions are based on the following passage.</em>\r\n<blockquote>Dirk: I can't believe how long we've been waiting for them to bring us our food.\r\n\r\nEllen: It's very busy in this restaurant, though.\r\n\r\nDirk: Well, it's Saturday night! At 6:30 PM! Of course it's busy! They should have two times the number of servers working than what they have now.\r\n\r\nEllen: That's ridiculous. It's impossible to predict how many customers will visit a restaurant on any given day for a particular meal.</blockquote>\r\n<ol>\r\n \t<li>Which line of dialogue would most strengthen Dirk's case, if it were true?\r\n\r\n<strong>A.</strong> Dirk: Saturday night is traditionally a very busy night for restaurants, Ellen.\r\n\r\n<strong>B.</strong> Dirk: They should at least serve simpler foods, which would take less time to prepare.\r\n\r\n<strong>C.</strong> Dirk: You know as well as I have that we've eaten here every Saturday night for years, and usually there are twice as many employees working.\r\n\r\n<strong>D.</strong> Dirk: There's a motorcycle rally in town tonight, too, and that always draws a crowd.\r\n\r\n<strong>E.</strong> Dirk: If we had ordered the specials, they'd have been served by now.</li>\r\n \t<li>What line of dialogue, if true, could be added to Ellen's last statement in order to improve her logic?\r\n\r\n<strong>A.</strong> You know this, Dirk. You've been a bartender.\r\n\r\n<strong>B.</strong> We've eaten here before on a Saturday night at this time and been the only customers!\r\n\r\n<strong>C.</strong> The motorcycle rally brings a lot of extra people to town.\r\n\r\n<strong>D.</strong> It's important to order the correct amount of inventory without wasting much, too.\r\n\r\n<strong>E.</strong> None of the other customers look as angry as you do.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li><strong>The correct answer is C.</strong>\r\n\r\nYou want to complete the dialogue in a way that proves Dirk's point as logically as possible. If he has prior evidence that the restaurant is frequently busy on Saturday nights and usually has more staff at work, his case that they can plan for a particularly busy night is stronger. That's Choice (C).</li>\r\n \t<li><strong>The correct answer is B.</strong>\r\n\r\nYou want to improve Ellen's logic. Choice (B) does this best, by offering evidence that proves her thesis: that there is no way to predict how many people will visit the restaurant on a given Saturday night.</li>\r\n</ol>","description":"The Critical Reasoning section on the GMAT consists of about 12 questions in the Verbal section. In Critical Reasoning, you are shown a passage that presents an argument of some kind (often dealing with a business, government, or education topic).\r\n\r\nSome passages have multiple questions. You must choose the answer that best answers the question based on your understanding of the logic in the passage.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<em>Both practice questions are based on the following passage.</em>\r\n<blockquote>Dirk: I can't believe how long we've been waiting for them to bring us our food.\r\n\r\nEllen: It's very busy in this restaurant, though.\r\n\r\nDirk: Well, it's Saturday night! At 6:30 PM! Of course it's busy! They should have two times the number of servers working than what they have now.\r\n\r\nEllen: That's ridiculous. It's impossible to predict how many customers will visit a restaurant on any given day for a particular meal.</blockquote>\r\n<ol>\r\n \t<li>Which line of dialogue would most strengthen Dirk's case, if it were true?\r\n\r\n<strong>A.</strong> Dirk: Saturday night is traditionally a very busy night for restaurants, Ellen.\r\n\r\n<strong>B.</strong> Dirk: They should at least serve simpler foods, which would take less time to prepare.\r\n\r\n<strong>C.</strong> Dirk: You know as well as I have that we've eaten here every Saturday night for years, and usually there are twice as many employees working.\r\n\r\n<strong>D.</strong> Dirk: There's a motorcycle rally in town tonight, too, and that always draws a crowd.\r\n\r\n<strong>E.</strong> Dirk: If we had ordered the specials, they'd have been served by now.</li>\r\n \t<li>What line of dialogue, if true, could be added to Ellen's last statement in order to improve her logic?\r\n\r\n<strong>A.</strong> You know this, Dirk. You've been a bartender.\r\n\r\n<strong>B.</strong> We've eaten here before on a Saturday night at this time and been the only customers!\r\n\r\n<strong>C.</strong> The motorcycle rally brings a lot of extra people to town.\r\n\r\n<strong>D.</strong> It's important to order the correct amount of inventory without wasting much, too.\r\n\r\n<strong>E.</strong> None of the other customers look as angry as you do.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li><strong>The correct answer is C.</strong>\r\n\r\nYou want to complete the dialogue in a way that proves Dirk's point as logically as possible. If he has prior evidence that the restaurant is frequently busy on Saturday nights and usually has more staff at work, his case that they can plan for a particularly busy night is stronger. That's Choice (C).</li>\r\n \t<li><strong>The correct answer is B.</strong>\r\n\r\nYou want to improve Ellen's logic. Choice (B) does this best, by offering evidence that proves her thesis: that there is no way to predict how many people will visit the restaurant on a given Saturday night.</li>\r\n</ol>","blurb":"","authors":[{"authorId":11243,"name":"Sandra Luna McCune","slug":"sandra-luna-mccune","description":" <p><b>Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She&#39;s now a full&#45;time author. <b>Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/11243"}},{"authorId":10930,"name":"Shannon Reed","slug":"shannon-reed","description":" <p><b>Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She&#39;s now a full&#45;time author. <b>Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/10930"}}],"primaryCategoryTaxonomy":{"categoryId":33784,"title":"GMAT","slug":"gmat","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33784"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[{"label":"Practice questions","target":"#tab1"},{"label":"Answers and explanations","target":"#tab2"}],"relatedArticles":{"fromBook":[{"articleId":249437,"title":"GMAT Verbal Section: Practice with Sentence Completion","slug":"gmat-verbal-section-practice-sentence-completion","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249437"}},{"articleId":249431,"title":"GMAT Verbal Section: Practice with Reading Comprehension","slug":"gmat-verbal-section-practice-reading-comprehension","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249431"}},{"articleId":249422,"title":"GMAT Quantitative Data Sufficiency: Practice with Word Problems","slug":"gmat-quantitative-data-sufficiency-practice-word-problems","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249422"}},{"articleId":249416,"title":"GMAT Quantitative Data Sufficiency: Practice with Geometry","slug":"gmat-quantitative-data-sufficiency-practice-geometry","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249416"}},{"articleId":249412,"title":"GMAT Quantitative Data Sufficiency: Practice with Algebra","slug":"gmat-quantitative-data-sufficiency-practice-algebra","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249412"}}],"fromCategory":[{"articleId":283513,"title":"The Coordinate Plane and the GMAT","slug":"the-coordinate-plane-and-the-gmat","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283513"}},{"articleId":283506,"title":"Multi-Source Reasoning Questions on the GMAT","slug":"multi-source-reasoning-questions-on-the-gmat","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283506"}},{"articleId":283501,"title":"Table Analysis Questions on the GMAT","slug":"table-analysis-questions-on-the-gmat","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283501"}},{"articleId":283496,"title":"What the GMAT's Integrated Reasoning Section Is All About","slug":"what-the-gmats-integrated-reasoning-section-is-all-about","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/283496"}},{"articleId":249437,"title":"GMAT Verbal Section: Practice with Sentence Completion","slug":"gmat-verbal-section-practice-sentence-completion","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"_links":{"self":"//dummies-api.coursofppt.com/v2/articles/249437"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":282245,"slug":"gmat-1001-practice-questions-for-dummies","isbn":"9781119363125","categoryList":["academics-the-arts","study-skills-test-prep","gmat"],"amazon":{"default":"//www.amazon.com/gp/product/1119363128/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"//www.amazon.ca/gp/product/1119363128/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"//www.tkqlhce.com/click-9208661-13710633?url=//www.chapters.indigo.ca/en-ca/books/product/1119363128-item.html&cjsku=978111945484","gb":"//www.amazon.co.uk/gp/product/1119363128/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"//www.amazon.de/gp/product/1119363128/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"//coursofppt.com/wp-content/uploads/gmat-1001-practice-questions-for-dummies-cover-9781119363125-204x255.jpg","width":204,"height":255},"title":"GMAT","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"<p><b data-author-id=\"11243\">Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She's now a full-time author. <b data-author-id=\"10930\">Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. </p>","authors":[{"authorId":11243,"name":"Sandra Luna McCune","slug":"sandra-luna-mccune","description":" <p><b>Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She&#39;s now a full&#45;time author. <b>Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/11243"}},{"authorId":10930,"name":"Shannon Reed","slug":"shannon-reed","description":" <p><b>Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. 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","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/10930"}}],"_links":{"self":"//dummies-api.coursofppt.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;study-skills-test-prep&quot;,&quot;gmat&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119363125&quot;]}]\" id=\"du-slot-63221a6d4a649\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;study-skills-test-prep&quot;,&quot;gmat&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119363125&quot;]}]\" id=\"du-slot-63221a6d4af32\"></div></div>"},"articleType":{"articleType":"Articles","articleList":null,"content":null,"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":null,"lifeExpectancySetFrom":null,"dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":249434},{"headers":{"creationTime":"2019-01-31T04:31:44+00:00","modifiedTime":"2019-01-31T04:31:44+00:00","timestamp":"2023-09-14T18:16:13+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Study Skills & Test Prep","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33772"},"slug":"study-skills-test-prep","categoryId":33772},{"name":"GMAT","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33784"},"slug":"gmat","categoryId":33784}],"title":"GMAT Quantitative Data Sufficiency: Practice with Algebra","strippedTitle":"gmat quantitative data sufficiency: practice with algebra","slug":"gmat-quantitative-data-sufficiency-practice-algebra","canonicalUrl":"","浏览游戏模块系统调整":{"metaDescription":"Some Data Sufficiency questions in the Quantitative section of the GMAT will test your mettle with algebra. You should be ready to handle polynomials, linear eq","noIndex":0,"noFollow":0},"content":"Some Data Sufficiency questions in the Quantitative section of the GMAT will test your mettle with algebra. You should be ready to handle polynomials, linear equations and inequalities, quadratic equations, basic function concepts, and systems of linear equations.\r\n\r\nEach Data Sufficiency problem poses a question, followed by two statements. Your task is to evaluate the statements to determine at what point there is or is not sufficient information to answer the question.\r\n<p class=\"article-tips remember\">Unlike the Problem Solving questions, you do not actually have to answer the question posed. Instead, you select one of five fixed answer choices that offer different options about the sufficiency of the information provided in the two statements.</p>\r\n\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n \t<li>A grocer sells avocados for $1.50 each and pineapples for $2.00 each. How many avocados did the grocer sell today?\r\n\r\n(1) The number of avocados sold today is 20 more than twice the number of pineapples sold.\r\n\r\n(2) Today the grocer received a total of $155 from the sale of avocados and pineapples.\r\n\r\n<strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n \t<li>Is the sum of the roots of the equation, <em>x</em><sup>2</sup> + <em>bx</em> + <em>c</em> = 0, positive?\r\n\r\n(1) <em>b</em> < 0\r\n\r\n(2) <em>c</em> < 0\r\n\r\n<strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li>The correct answer is C.\r\n\r\nLet <em>A</em> = the number of avocados sold today, and <em>P</em> = the number of pineapples sold today. From (1), <em>A</em> = 2<em>P</em> +20, which is one equation with two unknowns. Without additional information, you cannot determine an exact value of <em>A</em>. For example, if <em>P</em> = 5, then <em>A</em> = 30. But if <em>P</em> = 10, then <em>A</em> = 40. Thus, (1) is not sufficient.\r\n\r\nFrom (2), 1.50<em>A</em> + 2.00<em>P</em> = 155.00, which is one equation with two unknowns. Without additional information, you cannot determine an exact value of <em>A</em>. For example, if <em>P</em> = 1, then <em>A</em> = 102. But if <em>P</em> = 4, then <em>A</em> = 98. Thus, (2) is not sufficient.\r\n\r\nTaking (1) and (2) together, yields a system of two equations, <em>A</em> – 2<em>P</em> = 20 and 1.50<em>A</em> + 2.00<em>P</em> = 155.00, with two variables, <em>A</em> and <em>P</em>. The system has a unique solution because\r\n\r\n<img class=\"alignnone size-full wp-image-249413\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1301.jpg\" alt=\"GMAT_1301\" width=\"79\" height=\"45\" />\r\n\r\nThus, you can determine a unique value of <em>A</em>. Therefore, both statements together are sufficient, but neither statement alone is sufficient.</li>\r\n \t<li>The correct answer is A.\r\n\r\nUsing the quadratic formula, the two roots of <em>x</em><sup>2</sup> + <em>bx</em> + <em>c</em> = 0 are\r\n\r\n<img class=\"alignnone size-full wp-image-249310\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1302.jpg\" alt=\"GMAT_1302\" width=\"328\" height=\"145\" />\r\n\r\nAdding the roots yields\r\n\r\n<img class=\"alignnone size-full wp-image-249311\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1303.jpg\" alt=\"GMAT_1303\" width=\"327\" height=\"53\" />\r\n\r\nHence, the sum of the roots of <em>x</em><sup>2</sup> + <em>bx</em> + <em>c</em> = 0 equals –<em>b</em>. From (1) <em>b</em> < 0 implies –<em>b</em> > 0, so the sum of the roots is positive. Thus, (1) is sufficient to answer the question posed.\r\n\r\nFrom (2), <em>c</em> > 0 implies that the product of the two roots is negative, indicating that the two roots have opposite signs. However, without additional information, you cannot determine whether the sum is positive. For instance, the sum of the roots of <em>x</em><sup>2</sup> – 2<em>x</em> – 15 = 0, which has roots 3 and –5, is –2. This result yields an answer of No to the question posed. But the sum of the roots of<em> x</em><sup>2</sup> + 2<em>x</em> – 15 = 0, which has roots 5 and –3, is 2. This result yields an answer of Yes to the question posed. Thus, (2) is not sufficient. Therefore, statement (1) alone is sufficient.</li>\r\n</ol>","description":"Some Data Sufficiency questions in the Quantitative section of the GMAT will test your mettle with algebra. You should be ready to handle polynomials, linear equations and inequalities, quadratic equations, basic function concepts, and systems of linear equations.\r\n\r\nEach Data Sufficiency problem poses a question, followed by two statements. Your task is to evaluate the statements to determine at what point there is or is not sufficient information to answer the question.\r\n<p class=\"article-tips remember\">Unlike the Problem Solving questions, you do not actually have to answer the question posed. Instead, you select one of five fixed answer choices that offer different options about the sufficiency of the information provided in the two statements.</p>\r\n\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n \t<li>A grocer sells avocados for $1.50 each and pineapples for $2.00 each. How many avocados did the grocer sell today?\r\n\r\n(1) The number of avocados sold today is 20 more than twice the number of pineapples sold.\r\n\r\n(2) Today the grocer received a total of $155 from the sale of avocados and pineapples.\r\n\r\n<strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n \t<li>Is the sum of the roots of the equation, <em>x</em><sup>2</sup> + <em>bx</em> + <em>c</em> = 0, positive?\r\n\r\n(1) <em>b</em> < 0\r\n\r\n(2) <em>c</em> < 0\r\n\r\n<strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li>The correct answer is C.\r\n\r\nLet <em>A</em> = the number of avocados sold today, and <em>P</em> = the number of pineapples sold today. From (1), <em>A</em> = 2<em>P</em> +20, which is one equation with two unknowns. Without additional information, you cannot determine an exact value of <em>A</em>. For example, if <em>P</em> = 5, then <em>A</em> = 30. But if <em>P</em> = 10, then <em>A</em> = 40. Thus, (1) is not sufficient.\r\n\r\nFrom (2), 1.50<em>A</em> + 2.00<em>P</em> = 155.00, which is one equation with two unknowns. Without additional information, you cannot determine an exact value of <em>A</em>. For example, if <em>P</em> = 1, then <em>A</em> = 102. But if <em>P</em> = 4, then <em>A</em> = 98. Thus, (2) is not sufficient.\r\n\r\nTaking (1) and (2) together, yields a system of two equations, <em>A</em> – 2<em>P</em> = 20 and 1.50<em>A</em> + 2.00<em>P</em> = 155.00, with two variables, <em>A</em> and <em>P</em>. The system has a unique solution because\r\n\r\n<img class=\"alignnone size-full wp-image-249413\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1301.jpg\" alt=\"GMAT_1301\" width=\"79\" height=\"45\" />\r\n\r\nThus, you can determine a unique value of <em>A</em>. Therefore, both statements together are sufficient, but neither statement alone is sufficient.</li>\r\n \t<li>The correct answer is A.\r\n\r\nUsing the quadratic formula, the two roots of <em>x</em><sup>2</sup> + <em>bx</em> + <em>c</em> = 0 are\r\n\r\n<img class=\"alignnone size-full wp-image-249310\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1302.jpg\" alt=\"GMAT_1302\" width=\"328\" height=\"145\" />\r\n\r\nAdding the roots yields\r\n\r\n<img class=\"alignnone size-full wp-image-249311\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1303.jpg\" alt=\"GMAT_1303\" width=\"327\" height=\"53\" />\r\n\r\nHence, the sum of the roots of <em>x</em><sup>2</sup> + <em>bx</em> + <em>c</em> = 0 equals –<em>b</em>. From (1) <em>b</em> < 0 implies –<em>b</em> > 0, so the sum of the roots is positive. Thus, (1) is sufficient to answer the question posed.\r\n\r\nFrom (2), <em>c</em> > 0 implies that the product of the two roots is negative, indicating that the two roots have opposite signs. However, without additional information, you cannot determine whether the sum is positive. For instance, the sum of the roots of <em>x</em><sup>2</sup> – 2<em>x</em> – 15 = 0, which has roots 3 and –5, is –2. This result yields an answer of No to the question posed. But the sum of the roots of<em> x</em><sup>2</sup> + 2<em>x</em> – 15 = 0, which has roots 5 and –3, is 2. This result yields an answer of Yes to the question posed. Thus, (2) is not sufficient. Therefore, statement (1) alone is sufficient.</li>\r\n</ol>","blurb":"","authors":[{"authorId":11243,"name":"Sandra Luna McCune","slug":"sandra-luna-mccune","description":" <p><b>Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She&#39;s now a full&#45;time author. <b>Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/11243"}},{"authorId":10930,"name":"Shannon Reed","slug":"shannon-reed","description":" <p><b>Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She&#39;s now a full&#45;time author. <b>Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. 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She&#39;s now a full&#45;time author. <b>Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/10930"}}],"_links":{"self":"//dummies-api.coursofppt.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;study-skills-test-prep&quot;,&quot;gmat&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119363125&quot;]}]\" id=\"du-slot-63221a6d2bcf5\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;study-skills-test-prep&quot;,&quot;gmat&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781119363125&quot;]}]\" id=\"du-slot-63221a6d2c5fd\"></div></div>"},"articleType":{"articleType":"Articles","articleList":null,"content":null,"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":null,"lifeExpectancySetFrom":null,"dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":249412},{"headers":{"creationTime":"2019-01-31T04:17:10+00:00","modifiedTime":"2019-01-31T04:17:10+00:00","timestamp":"2023-09-14T18:16:13+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Study Skills & Test Prep","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33772"},"slug":"study-skills-test-prep","categoryId":33772},{"name":"GMAT","_links":{"self":"//dummies-api.coursofppt.com/v2/categories/33784"},"slug":"gmat","categoryId":33784}],"title":"GMAT Quantitative Data Sufficiency: Practice with Probability and Statistics","strippedTitle":"gmat quantitative data sufficiency: practice with probability and statistics","slug":"gmat-quantitative-data-sufficiency-practice-probability-statistics","canonicalUrl":"","浏览游戏模块系统调整":{"metaDescription":"Data Sufficiency questions in the GMAT Quantitative section will include problems involving probability and statistics. Be ready to tackle questions about count","noIndex":0,"noFollow":0},"content":"Data Sufficiency questions in the GMAT Quantitative section will include problems involving probability and statistics. Be ready to tackle questions about counting techniques, permutations and combinations, basic probability, arithmetic mean, median, mode, and standard deviation.\r\n\r\nEach Data Sufficiency problem poses a question, followed by two statements. Your task is to evaluate the statements to determine at what point there is or is not sufficient information to answer the question.\r\n<p class=\"article-tips remember\">Unlike the Problem Solving questions, you do not actually have to answer the question posed. Instead, you select one of five fixed answer choices that offer different options about the sufficiency of the information provided in the two statements.</p>\r\n\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n \t<li>The heights of a certain plant species are normally distributed. What height is 2 standard deviations greater than the arithmetic mean height of the plant species?\r\n\r\n(1) The arithmetic mean height is 32.8 centimeters.\r\n\r\n(2) The standard deviation of the heights is 2.4 centimeters.\r\n\r\n<strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n \t<li>Harper interviewed for a job with company A and with company B. What is the probability that Harper will get job offers from both companies?\r\n\r\n(1) The probability that Harper will get a job offer from exactly one of the companies is 0.6.\r\n\r\n(2) The probability that Harper will get a job offer from neither company is 0.1.\r\n\r\n<strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li>The correct answer is C.\r\n\r\nLet <em>h</em> = the height that is 2 standard deviations greater than the mean height. Then <em>h</em> = mean + 2(standard deviation). From (1), <em>h</em> = 32.8 cm + 2(standard deviation). Without knowing the standard deviation, you cannot determine an exact value of <em>h</em>. Thus, (1) is not sufficient.\r\n\r\nFrom (2), <em>h</em> = mean + 2 (2.4 cm). Without knowing the mean, you cannot determine an exact value of <em>h</em>. Thus, (2) is not sufficient.\r\n\r\nTaking (1) and (2) together, <em>h</em> = 32.8 cm + 2(2.4 cm), which you can calculate to determine an exact value of <em>h.</em> Therefore, both statements together are sufficient, but neither statement alone is sufficient.</li>\r\n \t<li>The correct answer is C.\r\n\r\nLet <em>P</em>(both) = the probability Harper will get a job offer from both companies, <em>P</em>(exactly one) = the probability Harper will get a job offer from exactly one of the two companies, and <em>P</em>(neither) = the probability that Harper will get a job offer from neither company. Given that one of these three events is certain to happen, then <em>P</em>(both) + <em>P</em>(exactly one) + <em>P</em>(neither) = 1, from which you have <em>P</em>(both) = 1 – <em>P</em>(exactly one) – <em>P</em>(neither). From (1) <em>P</em>(both) = 1 – 0.6 – <em>P</em>(neither). Without additional information, you cannot determine an exact value of <em>P</em>(both). Thus, (1) is not sufficient.\r\n\r\nFrom (2), <em>P</em>(both) = 1 – <em>P</em>(exactly one) – 0.1. Without additional information, you cannot determine an exact value of <em>P</em>(both). Thus, (2) is not sufficient.\r\n\r\nTaking (1) and (2) together, <em>P</em>(both) = 1 – 0.6 – 0.1 = 0.3. Therefore, both statements together are sufficient, but neither statement alone is sufficient.</li>\r\n</ol>","description":"Data Sufficiency questions in the GMAT Quantitative section will include problems involving probability and statistics. Be ready to tackle questions about counting techniques, permutations and combinations, basic probability, arithmetic mean, median, mode, and standard deviation.\r\n\r\nEach Data Sufficiency problem poses a question, followed by two statements. Your task is to evaluate the statements to determine at what point there is or is not sufficient information to answer the question.\r\n<p class=\"article-tips remember\">Unlike the Problem Solving questions, you do not actually have to answer the question posed. Instead, you select one of five fixed answer choices that offer different options about the sufficiency of the information provided in the two statements.</p>\r\n\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n \t<li>The heights of a certain plant species are normally distributed. What height is 2 standard deviations greater than the arithmetic mean height of the plant species?\r\n\r\n(1) The arithmetic mean height is 32.8 centimeters.\r\n\r\n(2) The standard deviation of the heights is 2.4 centimeters.\r\n\r\n<strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n \t<li>Harper interviewed for a job with company A and with company B. What is the probability that Harper will get job offers from both companies?\r\n\r\n(1) The probability that Harper will get a job offer from exactly one of the companies is 0.6.\r\n\r\n(2) The probability that Harper will get a job offer from neither company is 0.1.\r\n\r\n<strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li>The correct answer is C.\r\n\r\nLet <em>h</em> = the height that is 2 standard deviations greater than the mean height. Then <em>h</em> = mean + 2(standard deviation). From (1), <em>h</em> = 32.8 cm + 2(standard deviation). Without knowing the standard deviation, you cannot determine an exact value of <em>h</em>. Thus, (1) is not sufficient.\r\n\r\nFrom (2), <em>h</em> = mean + 2 (2.4 cm). Without knowing the mean, you cannot determine an exact value of <em>h</em>. Thus, (2) is not sufficient.\r\n\r\nTaking (1) and (2) together, <em>h</em> = 32.8 cm + 2(2.4 cm), which you can calculate to determine an exact value of <em>h.</em> Therefore, both statements together are sufficient, but neither statement alone is sufficient.</li>\r\n \t<li>The correct answer is C.\r\n\r\nLet <em>P</em>(both) = the probability Harper will get a job offer from both companies, <em>P</em>(exactly one) = the probability Harper will get a job offer from exactly one of the two companies, and <em>P</em>(neither) = the probability that Harper will get a job offer from neither company. Given that one of these three events is certain to happen, then <em>P</em>(both) + <em>P</em>(exactly one) + <em>P</em>(neither) = 1, from which you have <em>P</em>(both) = 1 – <em>P</em>(exactly one) – <em>P</em>(neither). From (1) <em>P</em>(both) = 1 – 0.6 – <em>P</em>(neither). Without additional information, you cannot determine an exact value of <em>P</em>(both). Thus, (1) is not sufficient.\r\n\r\nFrom (2), <em>P</em>(both) = 1 – <em>P</em>(exactly one) – 0.1. Without additional information, you cannot determine an exact value of <em>P</em>(both). Thus, (2) is not sufficient.\r\n\r\nTaking (1) and (2) together, <em>P</em>(both) = 1 – 0.6 – 0.1 = 0.3. Therefore, both statements together are sufficient, but neither statement alone is sufficient.</li>\r\n</ol>","blurb":"","authors":[{"authorId":11243,"name":"Sandra Luna McCune","slug":"sandra-luna-mccune","description":" <p><b>Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. 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Your task is to evaluate the statements to determine at what point there is or is not sufficient information to answer the question.\r\n<p class=\"article-tips remember\">Unlike the Problem Solving questions, you do not actually have to answer the question posed. Instead, you select one of five fixed answer choices that offer different options about the sufficiency of the information provided in the two statements.</p>\r\n\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n \t<li>A garden contains 32 tomato plants. How many pepper plants does the garden contain?\r\n\r\n(1) The ratio of the number of tomato plants to the number of pepper plants is 8 to 3.\r\n\r\n(2) If the number of tomato plants is increased by 4, and the number of pepper plants stays the same, the ratio of the number of tomato plants to the number of pepper plants is 3 to 1.\r\n\r\n<strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n \t<li>If\r\n\r\n<img class=\"alignnone size-full wp-image-249307\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1101.jpg\" alt=\"GMAT_1101\" width=\"52\" height=\"23\" />\r\n\r\nwhat is the ratio of\r\n\r\n<img class=\"alignnone size-full wp-image-249403\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1102.jpg\" alt=\"GMAT_1102\" width=\"71\" height=\"45\" />\r\n\r\n(1) 7<em>x</em> = 6<em>y</em>\r\n\r\n(2) <em>x</em> = 6\r\n\r\n<strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li>The correct answer is D.\r\n\r\nLet <em>P</em> = the number of pepper plants in the garden. Using the question information and (1) gives the proportion\r\n\r\n<img class=\"alignnone size-full wp-image-249404\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1103.jpg\" alt=\"GMAT_1103\" width=\"56\" height=\"45\" />\r\n\r\nwhich you can solve for <em>P. </em>Thus, (1) is sufficient.\r\n\r\nUsing the question information and (2) gives the proportion\r\n\r\n<img class=\"alignnone size-full wp-image-249308\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1104.jpg\" alt=\"GMAT_1104\" width=\"56\" height=\"45\" />\r\n\r\nwhich you can solve for <em>P. </em>Therefore, each statement alone is sufficient.</li>\r\n \t<li>The correct answer is A.\r\n\r\nThe ratio of\r\n\r\n<img class=\"alignnone size-full wp-image-249309\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1105.jpg\" alt=\"GMAT_1105\" width=\"165\" height=\"103\" />\r\n\r\nFrom (1), 7<em>x</em> = 6<em>y</em> implies\r\n\r\n<img class=\"alignnone size-full wp-image-249405\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1106.jpg\" alt=\"GMAT_1106\" width=\"93\" height=\"49\" />\r\n\r\nThus (1) is sufficient.\r\n\r\nFrom (2), <em>x</em> = 6 implies\r\n\r\n<img class=\"alignnone size-full wp-image-249406\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1107.jpg\" alt=\"GMAT_1107\" width=\"120\" height=\"63\" />\r\n\r\nThe value of this expression varies depending on the value of <em>y</em>. Thus, (2) is not sufficient. Therefore, statement (1) alone is sufficient.</li>\r\n</ol>","description":"Some of the Data Sufficiency questions in the GMAT Quantitative section will test your basic math skills, so you should brush up on your fractions, decimals, ratios and proportions, percent, and exponents.\r\n\r\nEach Data Sufficiency problem poses a question, followed by two statements. Your task is to evaluate the statements to determine at what point there is or is not sufficient information to answer the question.\r\n<p class=\"article-tips remember\">Unlike the Problem Solving questions, you do not actually have to answer the question posed. Instead, you select one of five fixed answer choices that offer different options about the sufficiency of the information provided in the two statements.</p>\r\n\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n \t<li>A garden contains 32 tomato plants. How many pepper plants does the garden contain?\r\n\r\n(1) The ratio of the number of tomato plants to the number of pepper plants is 8 to 3.\r\n\r\n(2) If the number of tomato plants is increased by 4, and the number of pepper plants stays the same, the ratio of the number of tomato plants to the number of pepper plants is 3 to 1.\r\n\r\n<strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n \t<li>If\r\n\r\n<img class=\"alignnone size-full wp-image-249307\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1101.jpg\" alt=\"GMAT_1101\" width=\"52\" height=\"23\" />\r\n\r\nwhat is the ratio of\r\n\r\n<img class=\"alignnone size-full wp-image-249403\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1102.jpg\" alt=\"GMAT_1102\" width=\"71\" height=\"45\" />\r\n\r\n(1) 7<em>x</em> = 6<em>y</em>\r\n\r\n(2) <em>x</em> = 6\r\n\r\n<strong>A.</strong> Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.\r\n\r\n<strong>B.</strong> Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.\r\n\r\n<strong>C.</strong> Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>D.</strong> Each statement ALONE is sufficient to answer the question asked.\r\n\r\n<strong>E.</strong> Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li>The correct answer is D.\r\n\r\nLet <em>P</em> = the number of pepper plants in the garden. Using the question information and (1) gives the proportion\r\n\r\n<img class=\"alignnone size-full wp-image-249404\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1103.jpg\" alt=\"GMAT_1103\" width=\"56\" height=\"45\" />\r\n\r\nwhich you can solve for <em>P. </em>Thus, (1) is sufficient.\r\n\r\nUsing the question information and (2) gives the proportion\r\n\r\n<img class=\"alignnone size-full wp-image-249308\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1104.jpg\" alt=\"GMAT_1104\" width=\"56\" height=\"45\" />\r\n\r\nwhich you can solve for <em>P. </em>Therefore, each statement alone is sufficient.</li>\r\n \t<li>The correct answer is A.\r\n\r\nThe ratio of\r\n\r\n<img class=\"alignnone size-full wp-image-249309\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1105.jpg\" alt=\"GMAT_1105\" width=\"165\" height=\"103\" />\r\n\r\nFrom (1), 7<em>x</em> = 6<em>y</em> implies\r\n\r\n<img class=\"alignnone size-full wp-image-249405\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1106.jpg\" alt=\"GMAT_1106\" width=\"93\" height=\"49\" />\r\n\r\nThus (1) is sufficient.\r\n\r\nFrom (2), <em>x</em> = 6 implies\r\n\r\n<img class=\"alignnone size-full wp-image-249406\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1107.jpg\" alt=\"GMAT_1107\" width=\"120\" height=\"63\" />\r\n\r\nThe value of this expression varies depending on the value of <em>y</em>. Thus, (2) is not sufficient. Therefore, statement (1) alone is sufficient.</li>\r\n</ol>","blurb":"","authors":[{"authorId":11243,"name":"Sandra Luna McCune","slug":"sandra-luna-mccune","description":" <p><b>Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She&#39;s now a full&#45;time author. <b>Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. ","hasArticle":false,"_links":{"self":"//dummies-api.coursofppt.com/v2/authors/11243"}},{"authorId":10930,"name":"Shannon Reed","slug":"shannon-reed","description":" <p><b>Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. She&#39;s now a full&#45;time author. <b>Shannon Reed, MA, MFA,</b> is a visiting lecturer at the University of Pittsburgh, where she teaches composition, creative writing, and business writing. 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If Melora helps Kyra and Sage paint the room, the three of them can paint the room in 4 hours. What amount of time (in hours) would it take Melora, working alone, to paint the room?\r\n\r\n<strong>A.</strong> 6\r\n<strong>B.</strong> 8\r\n<strong>C.</strong> 10\r\n<strong>D.</strong> 15\r\n<strong>E.</strong> 20</li>\r\n \t<li>Ninety percent of a large field is cleared for planting. Of the cleared land, 50 percent is planted with blueberry plants and 40 percent is planted with strawberry plants. If the remaining 360 acres of cleared land is planted with gooseberry plants, what is the size, in acres, of the original field?\r\n\r\n<strong>A.</strong> 2,916\r\n<strong>B.</strong> 3,240\r\n<strong>C.</strong> 3,600\r\n<strong>D.</strong> 4,000\r\n<strong>E.</strong> 8,000</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li>The correct answer is E.\r\n\r\nLet <em>t</em> = the time (in hours) it would take Melora, working alone, to paint the room. The portion of the room Melora, working alone, can paint in one hour is 1/<em>t</em>. The portion of the room Kyra and Sage, working together, can paint in one hour is 1/5. The portion of the room the three of them, working together, can paint in one hour is 1/4. Therefore,\r\n\r\n<img class=\"alignnone size-full wp-image-249379\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1001.jpg\" alt=\"GMAT_1001\" width=\"72\" height=\"47\" />\r\n\r\nSolve the equation:\r\n\r\n<img class=\"alignnone size-full wp-image-249306\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1002.jpg\" alt=\"GMAT_1002\" width=\"120\" height=\"261\" />\r\n\r\nMelora would take 20 hours, working alone, to paint the room.</li>\r\n \t<li>The correct answer is D.\r\n\r\nLet <em>A</em> = the size (in acres) of the original field. Then\r\n\r\n<img class=\"alignnone size-full wp-image-249380\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1003.jpg\" alt=\"GMAT_1003\" width=\"348\" height=\"23\" />\r\n\r\nThe percent of the cleared land planted in gooseberry plants is\r\n\r\n<img class=\"alignnone size-full wp-image-249381\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1004.jpg\" alt=\"GMAT_1004\" width=\"323\" height=\"63\" />\r\n\r\nSolve the equation:\r\n\r\n<img class=\"alignnone size-full wp-image-249382\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1005.jpg\" alt=\"GMAT_1005\" width=\"157\" height=\"111\" />\r\n\r\nThe size of the original field is 4,000 acres.</li>\r\n</ol>","description":"The Problem Solving questions in the Quantitative section of the GMAT cover a lot of ground, and on top of that, some of them will appear as word problems that you need to parse to find the answer.\r\n\r\nThese word problems may involve percentages, rate-time-distance, consecutive integers, ages, work rate, coins, divisibility, factors, multiples, sequences, and equation setup.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n \t<li>Kyra and Sage, working together, can paint a room in 5 hours. If Melora helps Kyra and Sage paint the room, the three of them can paint the room in 4 hours. What amount of time (in hours) would it take Melora, working alone, to paint the room?\r\n\r\n<strong>A.</strong> 6\r\n<strong>B.</strong> 8\r\n<strong>C.</strong> 10\r\n<strong>D.</strong> 15\r\n<strong>E.</strong> 20</li>\r\n \t<li>Ninety percent of a large field is cleared for planting. Of the cleared land, 50 percent is planted with blueberry plants and 40 percent is planted with strawberry plants. If the remaining 360 acres of cleared land is planted with gooseberry plants, what is the size, in acres, of the original field?\r\n\r\n<strong>A.</strong> 2,916\r\n<strong>B.</strong> 3,240\r\n<strong>C.</strong> 3,600\r\n<strong>D.</strong> 4,000\r\n<strong>E.</strong> 8,000</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li>The correct answer is E.\r\n\r\nLet <em>t</em> = the time (in hours) it would take Melora, working alone, to paint the room. The portion of the room Melora, working alone, can paint in one hour is 1/<em>t</em>. The portion of the room Kyra and Sage, working together, can paint in one hour is 1/5. The portion of the room the three of them, working together, can paint in one hour is 1/4. Therefore,\r\n\r\n<img class=\"alignnone size-full wp-image-249379\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1001.jpg\" alt=\"GMAT_1001\" width=\"72\" height=\"47\" />\r\n\r\nSolve the equation:\r\n\r\n<img class=\"alignnone size-full wp-image-249306\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1002.jpg\" alt=\"GMAT_1002\" width=\"120\" height=\"261\" />\r\n\r\nMelora would take 20 hours, working alone, to paint the room.</li>\r\n \t<li>The correct answer is D.\r\n\r\nLet <em>A</em> = the size (in acres) of the original field. Then\r\n\r\n<img class=\"alignnone size-full wp-image-249380\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1003.jpg\" alt=\"GMAT_1003\" width=\"348\" height=\"23\" />\r\n\r\nThe percent of the cleared land planted in gooseberry plants is\r\n\r\n<img class=\"alignnone size-full wp-image-249381\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1004.jpg\" alt=\"GMAT_1004\" width=\"323\" height=\"63\" />\r\n\r\nSolve the equation:\r\n\r\n<img class=\"alignnone size-full wp-image-249382\" src=\"//coursofppt.com/wp-content/uploads/GMAT_1005.jpg\" alt=\"GMAT_1005\" width=\"157\" height=\"111\" />\r\n\r\nThe size of the original field is 4,000 acres.</li>\r\n</ol>","blurb":"","authors":[{"authorId":11243,"name":"Sandra Luna McCune","slug":"sandra-luna-mccune","description":" <p><b>Sandra Luna McCune, PhD,</b> is professor emeritus and a former Regents professor at Stephen F. Austin State University. 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Sandra Luna McCune

Lisa Zimmer Hatch, MA, and Scott A. Hatch, JD, help students excel on standardized tests. They have authored numerous test-prep texts and curricula. Sandra Luna McCune, PhD, is professor emeritus at Stephen F. Austin State University. She’s currently an author and statistics consultant.

Articles From Sandra Luna McCune

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GMAT Prep For Dummies Cheat Sheet Cheat Sheet / Updated 10-31-2023 When you take the Graduate Management Admission Test (GMAT), make sure you take the required items with you to the test. Use these guidelines to help you get through the integrated reasoning, data sufficiency, quantitative problem solving, reading comprehension, and critical reasoning questions — as well as for writing your analytical essay and conquering integrated reasoning questions. View Cheat Sheet
Practice for GMAT Reading Comprehension Questions Article / Updated 10-05-2023 The Reading Comprehension portion of the GMAT is about 12 questions (more or less) in the Verbal section. In Reading Comprehension, you are shown a reading passage of one to three paragraphs, along with between two and six questions about each passage. You can refer to the passage while you answer each question about it. Practice questions Both practice questions are based on the following passage. The "morning star" isn't a star; it's always a planet. And sometimes two Morning Stars appear at once, such as Mercury and Venus. The same idea applies to the "evening star": You're seeing a planet, and you may see more than one. "Shooting stars" and "falling stars" are misnomers, too. These "stars" are meteors — the flashes of light caused by small meteoroids falling through Earth's atmosphere. Many of the "superstars" you see on television may be just flashes in the pan, but they at least get 15 minutes of fame. — From Astronomy For Dummies, by Stephen P. Maran Which of the following titles would be the most appropriate for the contents of this passage? A. 15 Minutes of Celestial FameB. What Was That Flash? C. Explaining the Evening Star D. Don't Wish on the Morning Star! E. Some Stars Aren't What You Think! Which of the following situations is most similar to that described in the bolded section? A. A group of teenagers identifying the constellations in the sky based on what they learned in their freshman year science class.B. A couple looks through a telescope to try to see Jupiter's rings but the sky is too cloudy. C. A group of people on a boat spot what they think is a pack of dolphins in the ocean in the distance, but the captain informs them they're actually looking at buoys bouncing in the water. D. A man thinks he won the city marathon but he actually misread his time and came in second. E. A group of friends follow what they think is the sound of a band playing, and end up dancing the night away at a club. Answers and explanations The correct answer is E. The best title captures some understanding of the main point of the passage, which is that the Evening and Morning Stars are not actually stars at all. Choice (E) is the best of the answers here. The correct answer is C. The passage describes mistaking one thing for another, which is clarified by an expert (in that case, the author). Choice (C) describes a similar phenomenon. View Article
Practice Data Sufficiency Word Problems for the GMAT Article / Updated 09-29-2023 Data sufficiency questions on the GMAT will sometimes appear as word problems. These problems can cover a wide range of topics, including percentages, rate-time-distance, consecutive integers, ages, work rate, coins, mixtures, divisibility, factors, sequences, and equation setup. Each data sufficiency problem poses a question, followed by two statements. Your task is to evaluate the statements to determine at what point there is or is not sufficient information to answer the question. Unlike the problem solving questions, you do not actually have to answer the question posed. Instead, you select one of five fixed answer choices that offer different options about the sufficiency of the information provided in the two statements. Practice questions A retail store sent out a promotional offer to 300 former customers and 700 potential customers. What percent of the total number of people who received the promotional offer gave a favorable response?(1) The store received a favorable response from 30 percent of the former customers.(2) The store received a favorable response from 20 percent of the potential customers. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked. C. Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked. D. Each statement ALONE is sufficient to answer the question asked. E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked. If a sequence A has 200 terms, what is the 100th term of A?(1) The first term of sequence A is . (2) Each term of sequence A after the first term is 15 more than the preceding term.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked. C. Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked. D. Each statement ALONE is sufficient to answer the question asked. E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked. Answers and explanations The correct answer is C.Let F = the number of favorable responses from former customers and P = the number of favorable responses from potential customers. Then the percent of favorable responses is From (1), , which you can substitute into The value of this quantity can vary, so without additional information, you cannot determine an exact value of Thus, (1) is not sufficient. From (2), P = 20% (700) = 140, which you can substitute into The value of this quantity can vary, so without additional information, you cannot determine an exact value of Thus, (2) is not sufficient. Taking (1) and (2) together, Therefore, both statements together are sufficient, but neither statement alone is sufficient. The correct answer is C.Let a1 = the first term of sequence A, and a100 = the hundredth term of sequence A. From (1), a1 = –10. But without additional information, you cannot determine subsequent terms, including an exact value of a100. Thus, (1) is not sufficient.From (2), a1 = a1, a2 = a1 + 15, a3 = a1 + (2)(15), a4 = a1 + (3)(15), and so on. Hence, a100 = a1 + (99)(15). But without additional information, you cannot determine an exact value of a100. Thus, (2) is not sufficient. Taking (1) and (2) together, the exact value of the 100th term is a100 = (–10) + (99)(15). Therefore, both statements together are sufficient, but neither statement alone is sufficient. View Article
What To Know for GMAT Data Sufficiency Problems Article / Updated 09-29-2023 The GMAT Quantitative section will contain problems that test your geometry skills, and some of these problems may appear as data sufficiency questions. You should be able to tackle lines, angles, two-dimensional shapes, three-dimensional solids, perimeter, area, surface area, volume, the Pythagorean theorem, and coordinate geometry. Each data sufficiency problem poses a question, followed by two statements. Your task is to evaluate the statements to determine at what point there is or is not sufficient information to answer the question. Unlike the problem solving questions, you do not actually have to answer the question posed. Instead, you select one of five fixed answer choices that offer different options about the sufficiency of the information provided in the two statements. Practice questions In the figure shown here, what is the value of z?(1) m = n(2) y = 88 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked. C. Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked. D. Each statement ALONE is sufficient to answer the question asked. E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked. The circumference of circle X is 1/2 the circumference of circle Y. What is the area of circle X?A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked. C. Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked. D. Each statement ALONE is sufficient to answer the question asked. E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked. Answers and explanations The correct answer is B.From (1), m = n implies x = z (because base angles of an isosceles triangle are congruent). However, without additional information, you cannot determine the value of x or z. Thus, (1) is not sufficient.From (2), because the measure of an exterior angle of a triangle equals the sum of the measures of the nonadjacent interior angles, 88 = 54 + z, which you can solve for z. Thus, (2) is sufficient. Therefore, statement (2) alone is sufficient. The correct answer is D.Recall that a circle with radius r has circumference equal to 2πr and area equal to πr2. From (1), in circle Y, so r, the radius of circle Y, is 10 feet. Then given that the circumference of circle X equals 1/2 the circumference of circle Y, the circumference of circle X is which implies the radius of circle X is 5 feet and its area is Thus, (1) is sufficient. From (2), you know from (1) that if the circumference of circle Y is known, you can proceed as in (1) to determine circle X's area. Thus, (2) is sufficient. Therefore, each statement alone is sufficient. View Article
GMAT Practice Questions: Sentence Completion Article / Updated 04-18-2023 The Sentence Completion section on the GMAT consists of about 12 questions in the Verbal section. You are presented with a sentence that may contain a grammatical error in the underlined portion. The first answer choice presents the underlined portion as written, while the following answer choices make corrections in some way. Practice questions Alexander Graham Bell was a gifted inventor, but they did not know how his invention of the telephone would change the world.A. but they did not know how his invention of the telephone would change the world. B. but they did not know how his invention of the telephone would change the world back then. C. but he did not know how his invention of the telephone would change the world at that time. D. but neither he nor anyone else knew how his invention of the telephone would change the world. E. but not gifted enough to see his invention was going to change the world with the invention he made that was the telephone. Liu felt that the exhaust fan in the first examination room was more effective than the second. A. more effective than the second. B. more effective than the exhaust fan in the second examination room.C. more effective that she expected. D. the most effective exhaust fan. E. more effective than what she had noticed in the second examination room. Answers and explanations The correct answer is D.Alexander Graham Bell was a gifted inventor, but neither he nor anyone else knew how his invention of the telephone would change the world. This is a question about pronoun choices, so ignore those answers which do not address this, including Choice (B) and Choice (E). The sentence as is contains a pronoun error: they does not refer back to Alexander Graham Bell correctly. Choice (C) matches the pronouns correctly, but changes the meaning of the sentence, which refers to how Bell's invention would go on to change the world in the future. Choice (D) does the best job of matching the pronoun and making it clear (by the addition of the phrase nor anyone else) that the sentence is meant to show that no one, including Bell, foresaw how his invention would change the world. The correct answer is B.Liu felt that the exhaust fan in the first examination room was more effective than the exhaust fan in the second examination room. Of the choices provided, Choice (B) is the best. It clarifies that the comparison is between the exhaust fans in two examining rooms, whereas the original leaves it unclear as to what the second is referring to. View Article
GMAT Verbal Section: Practice with Critical Reasoning Article / Updated 01-31-2018 The Critical Reasoning section on the GMAT consists of about 12 questions in the Verbal section. In Critical Reasoning, you are shown a passage that presents an argument of some kind (often dealing with a business, government, or education topic). Some passages have multiple questions. You must choose the answer that best answers the question based on your understanding of the logic in the passage. Practice questions Both practice questions are based on the following passage. Dirk: I can't believe how long we've been waiting for them to bring us our food. Ellen: It's very busy in this restaurant, though. Dirk: Well, it's Saturday night! At 6:30 PM! Of course it's busy! They should have two times the number of servers working than what they have now. Ellen: That's ridiculous. It's impossible to predict how many customers will visit a restaurant on any given day for a particular meal. Which line of dialogue would most strengthen Dirk's case, if it were true? A. Dirk: Saturday night is traditionally a very busy night for restaurants, Ellen. B. Dirk: They should at least serve simpler foods, which would take less time to prepare. C. Dirk: You know as well as I have that we've eaten here every Saturday night for years, and usually there are twice as many employees working. D. Dirk: There's a motorcycle rally in town tonight, too, and that always draws a crowd. E. Dirk: If we had ordered the specials, they'd have been served by now. What line of dialogue, if true, could be added to Ellen's last statement in order to improve her logic? A. You know this, Dirk. You've been a bartender. B. We've eaten here before on a Saturday night at this time and been the only customers! C. The motorcycle rally brings a lot of extra people to town. D. It's important to order the correct amount of inventory without wasting much, too. E. None of the other customers look as angry as you do. Answers and explanations The correct answer is C. You want to complete the dialogue in a way that proves Dirk's point as logically as possible. If he has prior evidence that the restaurant is frequently busy on Saturday nights and usually has more staff at work, his case that they can plan for a particularly busy night is stronger. That's Choice (C). The correct answer is B. You want to improve Ellen's logic. Choice (B) does this best, by offering evidence that proves her thesis: that there is no way to predict how many people will visit the restaurant on a given Saturday night. View Article
GMAT Quantitative Data Sufficiency: Practice with Algebra Article / Updated 01-31-2018 Some Data Sufficiency questions in the Quantitative section of the GMAT will test your mettle with algebra. You should be ready to handle polynomials, linear equations and inequalities, quadratic equations, basic function concepts, and systems of linear equations. Each Data Sufficiency problem poses a question, followed by two statements. Your task is to evaluate the statements to determine at what point there is or is not sufficient information to answer the question. Unlike the Problem Solving questions, you do not actually have to answer the question posed. Instead, you select one of five fixed answer choices that offer different options about the sufficiency of the information provided in the two statements. Practice questions A grocer sells avocados for $1.50 each and pineapples for $2.00 each. How many avocados did the grocer sell today? (1) The number of avocados sold today is 20 more than twice the number of pineapples sold. (2) Today the grocer received a total of $155 from the sale of avocados and pineapples. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked. C. Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked. D. Each statement ALONE is sufficient to answer the question asked. E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked. Is the sum of the roots of the equation, x2 + bx + c = 0, positive? (1) b < 0 (2) c < 0 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked. C. Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked. D. Each statement ALONE is sufficient to answer the question asked. E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked. Answers and explanations The correct answer is C. Let A = the number of avocados sold today, and P = the number of pineapples sold today. From (1), A = 2P +20, which is one equation with two unknowns. Without additional information, you cannot determine an exact value of A. For example, if P = 5, then A = 30. But if P = 10, then A = 40. Thus, (1) is not sufficient. From (2), 1.50A + 2.00P = 155.00, which is one equation with two unknowns. Without additional information, you cannot determine an exact value of A. For example, if P = 1, then A = 102. But if P = 4, then A = 98. Thus, (2) is not sufficient. Taking (1) and (2) together, yields a system of two equations, A – 2P = 20 and 1.50A + 2.00P = 155.00, with two variables, A and P. The system has a unique solution because Thus, you can determine a unique value of A. Therefore, both statements together are sufficient, but neither statement alone is sufficient. The correct answer is A. Using the quadratic formula, the two roots of x2 + bx + c = 0 are Adding the roots yields Hence, the sum of the roots of x2 + bx + c = 0 equals –b. From (1) b < 0 implies –b > 0, so the sum of the roots is positive. Thus, (1) is sufficient to answer the question posed. From (2), c > 0 implies that the product of the two roots is negative, indicating that the two roots have opposite signs. However, without additional information, you cannot determine whether the sum is positive. For instance, the sum of the roots of x2 – 2x – 15 = 0, which has roots 3 and –5, is –2. This result yields an answer of No to the question posed. But the sum of the roots of x2 + 2x – 15 = 0, which has roots 5 and –3, is 2. This result yields an answer of Yes to the question posed. Thus, (2) is not sufficient. Therefore, statement (1) alone is sufficient. View Article
GMAT Quantitative Data Sufficiency: Practice with Probability and Statistics Article / Updated 01-31-2018 Data Sufficiency questions in the GMAT Quantitative section will include problems involving probability and statistics. Be ready to tackle questions about counting techniques, permutations and combinations, basic probability, arithmetic mean, median, mode, and standard deviation. Each Data Sufficiency problem poses a question, followed by two statements. Your task is to evaluate the statements to determine at what point there is or is not sufficient information to answer the question. Unlike the Problem Solving questions, you do not actually have to answer the question posed. Instead, you select one of five fixed answer choices that offer different options about the sufficiency of the information provided in the two statements. Practice questions The heights of a certain plant species are normally distributed. What height is 2 standard deviations greater than the arithmetic mean height of the plant species? (1) The arithmetic mean height is 32.8 centimeters. (2) The standard deviation of the heights is 2.4 centimeters. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked. C. Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked. D. Each statement ALONE is sufficient to answer the question asked. E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked. Harper interviewed for a job with company A and with company B. What is the probability that Harper will get job offers from both companies? (1) The probability that Harper will get a job offer from exactly one of the companies is 0.6. (2) The probability that Harper will get a job offer from neither company is 0.1. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked. C. Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked. D. Each statement ALONE is sufficient to answer the question asked. E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked. Answers and explanations The correct answer is C. Let h = the height that is 2 standard deviations greater than the mean height. Then h = mean + 2(standard deviation). From (1), h = 32.8 cm + 2(standard deviation). Without knowing the standard deviation, you cannot determine an exact value of h. Thus, (1) is not sufficient. From (2), h = mean + 2 (2.4 cm). Without knowing the mean, you cannot determine an exact value of h. Thus, (2) is not sufficient. Taking (1) and (2) together, h = 32.8 cm + 2(2.4 cm), which you can calculate to determine an exact value of h. Therefore, both statements together are sufficient, but neither statement alone is sufficient. The correct answer is C. Let P(both) = the probability Harper will get a job offer from both companies, P(exactly one) = the probability Harper will get a job offer from exactly one of the two companies, and P(neither) = the probability that Harper will get a job offer from neither company. Given that one of these three events is certain to happen, then P(both) + P(exactly one) + P(neither) = 1, from which you have P(both) = 1 – P(exactly one) – P(neither). From (1) P(both) = 1 – 0.6 – P(neither). Without additional information, you cannot determine an exact value of P(both). Thus, (1) is not sufficient. From (2), P(both) = 1 – P(exactly one) – 0.1. Without additional information, you cannot determine an exact value of P(both). Thus, (2) is not sufficient. Taking (1) and (2) together, P(both) = 1 – 0.6 – 0.1 = 0.3. Therefore, both statements together are sufficient, but neither statement alone is sufficient. View Article
GMAT Quantitative Data Sufficiency: Practice with Basic Math Article / Updated 01-31-2018 Some of the Data Sufficiency questions in the GMAT Quantitative section will test your basic math skills, so you should brush up on your fractions, decimals, ratios and proportions, percent, and exponents. Each Data Sufficiency problem poses a question, followed by two statements. Your task is to evaluate the statements to determine at what point there is or is not sufficient information to answer the question. Unlike the Problem Solving questions, you do not actually have to answer the question posed. Instead, you select one of five fixed answer choices that offer different options about the sufficiency of the information provided in the two statements. Practice questions A garden contains 32 tomato plants. How many pepper plants does the garden contain? (1) The ratio of the number of tomato plants to the number of pepper plants is 8 to 3. (2) If the number of tomato plants is increased by 4, and the number of pepper plants stays the same, the ratio of the number of tomato plants to the number of pepper plants is 3 to 1. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked. C. Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked. D. Each statement ALONE is sufficient to answer the question asked. E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked. If what is the ratio of (1) 7x = 6y (2) x = 6 A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked. C. Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked. D. Each statement ALONE is sufficient to answer the question asked. E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked. Answers and explanations The correct answer is D. Let P = the number of pepper plants in the garden. Using the question information and (1) gives the proportion which you can solve for P. Thus, (1) is sufficient. Using the question information and (2) gives the proportion which you can solve for P. Therefore, each statement alone is sufficient. The correct answer is A. The ratio of From (1), 7x = 6y implies Thus (1) is sufficient. From (2), x = 6 implies The value of this expression varies depending on the value of y. Thus, (2) is not sufficient. Therefore, statement (1) alone is sufficient. View Article
GMAT Quantitative Problem Solving: Practice with Word Problems Article / Updated 01-30-2018 The Problem Solving questions in the Quantitative section of the GMAT cover a lot of ground, and on top of that, some of them will appear as word problems that you need to parse to find the answer. These word problems may involve percentages, rate-time-distance, consecutive integers, ages, work rate, coins, divisibility, factors, multiples, sequences, and equation setup. Practice questions Kyra and Sage, working together, can paint a room in 5 hours. If Melora helps Kyra and Sage paint the room, the three of them can paint the room in 4 hours. What amount of time (in hours) would it take Melora, working alone, to paint the room? A. 6 B. 8 C. 10 D. 15 E. 20 Ninety percent of a large field is cleared for planting. Of the cleared land, 50 percent is planted with blueberry plants and 40 percent is planted with strawberry plants. If the remaining 360 acres of cleared land is planted with gooseberry plants, what is the size, in acres, of the original field? A. 2,916 B. 3,240 C. 3,600 D. 4,000 E. 8,000 Answers and explanations The correct answer is E. Let t = the time (in hours) it would take Melora, working alone, to paint the room. The portion of the room Melora, working alone, can paint in one hour is 1/t. The portion of the room Kyra and Sage, working together, can paint in one hour is 1/5. The portion of the room the three of them, working together, can paint in one hour is 1/4. Therefore, Solve the equation: Melora would take 20 hours, working alone, to paint the room. The correct answer is D. Let A = the size (in acres) of the original field. Then The percent of the cleared land planted in gooseberry plants is Solve the equation: The size of the original field is 4,000 acres. View Article
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