{"id":10309,"date":"2012-05-18T09:00:34","date_gmt":"2012-05-18T16:00:34","guid":{"rendered":"https:\/\/magoosh.com\/gre\/?p=10309"},"modified":"2013-02-05T13:34:08","modified_gmt":"2013-02-05T21:34:08","slug":"quantitative-comparison-the-relationship-cannot-be-determined-from-the-information-given-answer-choice","status":"publish","type":"post","link":"https:\/\/magoosh.com\/gre\/quantitative-comparison-the-relationship-cannot-be-determined-from-the-information-given-answer-choice\/","title":{"rendered":"Quantitative Comparison: &#8220;The Relationship Cannot Be Determined from the Information Given&#8221; Answer Choice"},"content":{"rendered":"<ol>\n<li>The quantity in Column A is greater<\/li>\n<li>The quantity in Column B is greater<\/li>\n<li>The two quantities are equal<\/li>\n<li>The relationship cannot be determined from the information given<\/li>\n<\/ol>\n<p>Many people dread choosing answer choice (D) on <a title=\"Quantitative Comparison Traps\" href=\"https:\/\/magoosh.com\/gre\/quantitative-comparison-traps\/\">Quantitative Comparison<\/a> (QC) Some feel it may be conceding defeat. Others think that the GRE is trying to trick them by making them pick (D). After all, they think, there must be some pattern that I\u2019m not getting.<\/p>\n<p>The truth is answer (D) comes up often. And to determine whether an answer cannot be determined is actually not too difficult.<\/p>\n<p>#1 <span style=\"text-decoration: underline\">Determine a relationship<\/span><\/p>\n<p>Say you find an instance, in which the answer is <em>(A) the information in column A is greater<\/em>.  If that is the case, then the next step is to disprove that.<\/p>\n<p>#2 <span style=\"text-decoration: underline\">Disprove that relationship<\/span><\/p>\n<p>Meaning, see if you can come up with an instance, either through plugging in different variables, manipulating algebra, or manipulating a geometric figure, in which the answer is not (A). As soon you do that, you can stop. The answer is (D).<\/p>\n<p>If you can\u2019t disprove your answer, then it must be correct: it must be (A), (B) or (C).<\/p>\n<p>&nbsp;<\/p>\n<p>1. \\(-100 &lt; x &lt; 0\\)<\/p>\n<table width=\"600\">\n<tbody>\n<tr>\n<th><span style=\"text-decoration: underline\">Column A<\/span><\/th>\n<th><span style=\"text-decoration: underline\">Column B<\/span><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center\">\\(x^{-4}\\)<\/td>\n<td style=\"text-align: center\">\\(x^{-3}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<ol>\n<li>The quantity in Column A is greater<\/li>\n<li>The quantity in Column B is greater<\/li>\n<li>The two quantities are equal<\/li>\n<li>The relationship cannot be determined from the information given<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h2>Explanations:<\/h2>\n<p><span style=\"text-decoration: underline\">Question #1<\/span><\/p>\n<p>After choosing a few numbers you should note something: that Column A will always be greater than Column B.<\/p>\n<p>Why? Will, whenever, you have an even exponent, positive or negative, that exponent will always yield a positive number.<\/p>\n<p>Odd exponents, on the other hand, give you a negative output if the base (the number below the exponent) is negative. Remember x has to be negative. So no matter what number you plug in Column A will always be positive, Column B negative. This is a definite not (D). The answer is (A).<\/p>\n<p><span style=\"text-decoration: underline\"> <\/span><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The quantity in Column A is greater The quantity in Column B is greater The two quantities are equal The relationship cannot be determined from the information given Many people dread choosing answer choice (D) on Quantitative Comparison (QC) Some feel it may be conceding defeat. Others think that the GRE is trying to trick [&hellip;]<\/p>\n","protected":false},"author":10,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[25,54],"tags":[],"ppma_author":[12264],"class_list":["post-10309","post","type-post","status-publish","format-standard","hentry","category-math","category-math-question-types"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v21.7 (Yoast SEO v21.7) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Quantitative Comparison: &quot;The Relationship Cannot Be Determined from the Information Given&quot; Answer Choice - Magoosh Blog \u2014 GRE\u00ae Test<\/title>\n<meta name=\"description\" content=\"Learn more about how to determine whether an answer cannot be determined on the Quantitative Comparison questions on the GRE!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/magoosh.com\/gre\/quantitative-comparison-the-relationship-cannot-be-determined-from-the-information-given-answer-choice\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Quantitative Comparison: &quot;The Relationship Cannot Be Determined from the Information Given&quot; 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