{"id":12597,"date":"2019-10-10T19:43:25","date_gmt":"2019-10-10T19:43:25","guid":{"rendered":"https:\/\/www.manhattanprep.com\/gre\/?p=12597"},"modified":"2019-10-31T14:23:24","modified_gmt":"2019-10-31T14:23:24","slug":"quantitative-comparison","status":"publish","type":"post","link":"https:\/\/www.manhattanprep.com\/gre\/blog\/quantitative-comparison\/","title":{"rendered":"How to Review a GRE Quantitative Comparison Question"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-12599\" src=\"https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2019\/10\/solve-gre-quantitative-comparison.png\" alt=\"solve-gre-quantitative-comparison\" width=\"1200\" height=\"628\" srcset=\"https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2019\/10\/solve-gre-quantitative-comparison.png 1200w, https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2019\/10\/solve-gre-quantitative-comparison-300x157.png 300w, https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2019\/10\/solve-gre-quantitative-comparison-768x402.png 768w, https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2019\/10\/solve-gre-quantitative-comparison-1024x536.png 1024w\" sizes=\"auto, (max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">When you miss a <\/span><a href=\"https:\/\/www.manhattanprep.com\/gre\/blog\/gre-quantitative-comparisons-tips\/\"><span style=\"font-weight: 400;\">GRE Quantitative Comparison problem<\/span><\/a><span style=\"font-weight: 400;\">, it\u2019s easy to feel like you\u2019ve been \u201ctricked\u201d by the test. You know the saying \u201cfool me once, shame on me, fool me twice, shame on you?\u201d On the GRE, it goes the other way. Getting tricked once is a learning opportunity. But if you\u2019re getting tricked in the same way more than once, look at how you\u2019re reviewing problems.\u00a0<\/span><!--more--><\/p>\n<p><span style=\"font-weight: 400;\">Ideally, you should review every Quantitative Comparison problem you do. However, if you\u2019re short on time, these are the most important problems to review:\u00a0<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Problems that you got right, but spent too much time on or had low confidence in.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Problems that you missed, but basically understood\u2014that is, problems that were just a <\/span><i><span style=\"font-weight: 400;\">little<\/span><\/i><span style=\"font-weight: 400;\"> bit too hard.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Problems that taught you something new and interesting.\u00a0<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Most importantly, <\/span><i><span style=\"font-weight: 400;\">don\u2019t<\/span><\/i><span style=\"font-weight: 400;\"> waste your time reviewing problems that you didn\u2019t understand at all. Save those for later. Prioritize the ones that you could quickly get right next time with just a bit of work.<\/span><\/p>\n<h2><b>Getting Started Reviewing Quantitative Comparison\u00a0<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Here are the building blocks of review:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">A problem log. <\/span><a href=\"https:\/\/www.manhattanprep.com\/gre\/blog\/gre-problem-log-quant\/\"><span style=\"font-weight: 400;\">Here\u2019s how to make one<\/span><\/a><span style=\"font-weight: 400;\">.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">A study calendar. <\/span><a href=\"https:\/\/www.manhattanprep.com\/gre\/blog\/gre-study-calendar\/\"><span style=\"font-weight: 400;\">Here\u2019s an article on creating a study calendar for <\/span><i><span style=\"font-weight: 400;\">all<\/span><\/i><span style=\"font-weight: 400;\"> of your GRE studying<\/span><\/a><span style=\"font-weight: 400;\">. However, we\u2019re only talking about review in this article! For now, I\u2019ll just ask you to block off <\/span><b>a single one-to-two hour study session per week<\/b><span style=\"font-weight: 400;\"> to focus solely on reviewing and redoing old problems.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">A good source of practice problems. <\/span><a href=\"https:\/\/www.amazon.com\/lb-Book-GRE-Practice-Problems\/dp\/1506247598\/ref=dp_ob_title_bk\"><span style=\"font-weight: 400;\">The 5lb. Book of GRE Practice Problems<\/span><\/a><span style=\"font-weight: 400;\"> is your best bet.\u00a0<\/span><\/li>\n<\/ul>\n<h3><b>Reviewing a QC problem<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">The first step is to <\/span><b>redo the problem<\/b><span style=\"font-weight: 400;\">. Do this on the same day that you did the original problem, or at least the next time you sit down to study. This time, <\/span><b>don\u2019t use a timer<\/b><span style=\"font-weight: 400;\">. Relax and allow yourself to try multiple approaches.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">There\u2019s only one thing you <\/span><b>can\u2019t<\/b><span style=\"font-weight: 400;\"> do when you redo the problem:<\/span><\/p>\n<h4 style=\"text-align: center;\"><b>DON\u2019T READ THE EXPLANATION!<\/b><\/h4>\n<p><span style=\"font-weight: 400;\">When you passively read an explanation, you\u2019re practicing comprehension, or \u201cgetting it.\u201d Unfortunately, <\/span><a href=\"https:\/\/www.manhattanprep.com\/gre\/blog\/how-much-do-i-have-to-learn-to-beat-the-gre\/\"><span style=\"font-weight: 400;\">\u201cgetting it\u201d is a lot easier than what the GRE actually asks you to do<\/span><\/a><span style=\"font-weight: 400;\">. (Have you ever gotten totally turned around by a problem, then read the explanation and found that it seemed totally easy? That\u2019s because you were at the \u201cI get it\u201d stage of learning.)\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Don\u2019t let yourself get away with \u201cI get it.\u201d Instead, figure out as much as you can on your own. If you have to test 10 different cases, go for it! If you have to look up a geometry rule in your book, feel free! Take all the time you need.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">If you get stuck, you can use the explanation for <\/span><i><span style=\"font-weight: 400;\">hints only<\/span><\/i><span style=\"font-weight: 400;\">. Read a sentence or two at a time, and see if that gets you moving again. Only read the full explanation once you\u2019ve gotten everything you can out of the problem on your own. Explanations are useful, after all: they\u2019ll often show you faster or easier ways to solve a problem. Just don\u2019t rely on them more than you need to.\u00a0<\/span><\/p>\n<h3><b>Learning from a QC problem<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">After you\u2019ve redone the problem, and you understand the right answer, it\u2019s time to reflect and take notes. (And if you still feel like you don\u2019t understand the answer, you\u2019re allowed to set the problem aside for later. It may just be unrealistically hard, or you may not have learned the content you need yet.)\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Let\u2019s practice reflecting on a QC problem. Here\u2019s a problem from the <\/span><a href=\"https:\/\/www.amazon.com\/lb-Book-GRE-Practice-Problems\/dp\/1506247598\/ref=dp_ob_title_bk\"><span style=\"font-weight: 400;\">5lb. Book of GRE Practice Problems<\/span><\/a><span style=\"font-weight: 400;\">. Try it out on your own first, then we\u2019ll create a problem log entry together.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-12598 alignnone\" src=\"https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2019\/10\/gre-quantitative-comparison-qc.png\" alt=\"gre-quantitative-comparison-qc\" width=\"508\" height=\"130\" srcset=\"https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2019\/10\/gre-quantitative-comparison-qc.png 508w, https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2019\/10\/gre-quantitative-comparison-qc-300x77.png 300w\" sizes=\"auto, (max-width: 508px) 100vw, 508px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">The first thing to reflect on is the <\/span><b>given information<\/b><span style=\"font-weight: 400;\">. Not every QC problem gives you extra information, but many do. Here\u2019s what you should ask yourself about the given info:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Does anything stand out? What does it mean?\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Did you miss anything?<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Is there any math content you need to review?\u00a0<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">These questions are general on purpose. There\u2019s no better way to get bored with review than forcing yourself to rigidly answer a set of irrelevant questions. The goal here is to organize your thinking and make sure you\u2019ll remember any lessons this problem could teach you.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Here are some examples of students\u2019 notes about the given info.<\/span><\/p>\n<p><b>Student A<\/b><span style=\"font-weight: 400;\"> misunderstood the words \u201cnon-negative integers.\u201d She assumed immediately that this meant \u201cpositive integers.\u201d Here are her notes:\u00a0<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><i><span style=\"font-weight: 400;\">Non-negative does NOT mean positive!<\/span><\/i><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Non-negative = 0 or positive (just not negative). Test 0!<\/span><\/li>\n<\/ul>\n<p><b>Student B <\/b><span style=\"font-weight: 400;\">chose numbers for k, m, and n. However, the numbers she chose didn\u2019t actually fit the equation she was given! Here are her notes:\u00a0<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><i><span style=\"font-weight: 400;\">Info says k = 2m<\/span> <span style=\"font-weight: 400;\">but I tested k = 3, m = 6. Be careful when you see \u201cx = 3y\u201d or something like that: plug the numbers back into the equation to make sure you didn\u2019t get turned around. If you plug in k=3, m=6 you get 3 = 2(6) which isn\u2019t true.\u00a0<\/span><\/i><\/li>\n<\/ul>\n<p><b>Student C<\/b><span style=\"font-weight: 400;\"> got this one right. She caught the \u201cnon-negative\u201d trick, but she jotted down some notes on it anyways because she knew she could have been fooled by it.\u00a0<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><i><span style=\"font-weight: 400;\">Non-negative integer = 0, 1, 2, 3, 4, etc<\/span><\/i><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">The second part of a QC problem is the two quantities. These can look very different, depending on what the problem shows you. Here are some specific things to think about as you take notes.\u00a0<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Was this a problem where you should test cases, or did you need to calculate? If you needed to test cases, what were the right cases to test?\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Was there a way to avoid doing math, by estimating or comparing the quantities instead of calculating?\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Could you simplify the quantities?<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Does anything else stand out that you want to remember?\u00a0<\/span><\/li>\n<\/ul>\n<p><b>Student A<\/b><span style=\"font-weight: 400;\"> decided to test cases as she solved this problem. She tested two cases:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-12600 alignnone\" src=\"https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2019\/10\/gre-quantitative-comparison-table.png\" alt=\"gre-quantitative-comparison-table\" width=\"640\" height=\"116\" srcset=\"https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2019\/10\/gre-quantitative-comparison-table.png 640w, https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2019\/10\/gre-quantitative-comparison-table-300x54.png 300w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Based on this, she concluded that Quantity A was always greater. However, when she worked through the problem again, she realized that she\u2019d made a few mistakes. Here are her notes.\u00a0<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><i><span style=\"font-weight: 400;\">If it says not negative, don\u2019t panic and test negatives! Check each case you test to make sure you aren\u2019t breaking the rules!<\/span><\/i><\/li>\n<\/ul>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Always test 0 when it\u2019s allowed by the rules.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">If everything is positive, you can divide both sides by the same variable. Divide both sides by k and just compare m versus n. (But doesn\u2019t work if k = 0)<\/span><\/li>\n<\/ul>\n<p><b>Student B<\/b><span style=\"font-weight: 400;\"> also tested cases, but as described above, she didn\u2019t test the right numbers. Instead of testing <\/span><i><span style=\"font-weight: 400;\">k<\/span><\/i><span style=\"font-weight: 400;\"> = 6 and <\/span><i><span style=\"font-weight: 400;\">m<\/span><\/i><span style=\"font-weight: 400;\"> = 3, she tested <\/span><i><span style=\"font-weight: 400;\">k<\/span><\/i><span style=\"font-weight: 400;\"> = 3 and <\/span><i><span style=\"font-weight: 400;\">m<\/span><\/i><span style=\"font-weight: 400;\"> = 6. This caused her to conclude that Quantity B was greater.\u00a0<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><i><span style=\"font-weight: 400;\">Always test 0! Non-negative includes 0, positive doesn\u2019t include 0<\/span><\/i><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Check the numbers you test by plugging them into the given info.\u00a0<\/span><\/li>\n<\/ul>\n<p><b>Student C<\/b><span style=\"font-weight: 400;\"> didn\u2019t test cases at all. She noticed that you can divide both quantities by <\/span><i><span style=\"font-weight: 400;\">k<\/span><\/i><span style=\"font-weight: 400;\">, letting you just compare <\/span><i><span style=\"font-weight: 400;\">m<\/span><\/i><span style=\"font-weight: 400;\"> and <\/span><i><span style=\"font-weight: 400;\">n<\/span><\/i><span style=\"font-weight: 400;\">. However, she hesitated determining which value was greater, and she only noticed that they could equal zero at the very end.\u00a0<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><i><span style=\"font-weight: 400;\">Always test 0!<\/span><\/i><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">If 2m = 4n, then m = 2n. Be careful with this! Read it as \u201cm is two times n,\u201d which makes m bigger than n. If you aren\u2019t sure, plug in numbers to double check.\u00a0<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">By the way, the right answer to this problem is (D). If <\/span><i><span style=\"font-weight: 400;\">k<\/span><\/i><span style=\"font-weight: 400;\">, <\/span><i><span style=\"font-weight: 400;\">m<\/span><\/i><span style=\"font-weight: 400;\">, and <\/span><i><span style=\"font-weight: 400;\">n<\/span><\/i><span style=\"font-weight: 400;\"> are positive integers, then <\/span><i><span style=\"font-weight: 400;\">m<\/span><\/i><span style=\"font-weight: 400;\"> will be greater than <\/span><i><span style=\"font-weight: 400;\">n<\/span><\/i><span style=\"font-weight: 400;\">. But if they\u2019re all equal to zero, the quantities will be equal.\u00a0<\/span><\/p>\n<h2><b>The next step<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Once you\u2019ve taken notes on a problem, set it aside for a week or two. When your next review study session comes around, try the problem again. See if you get it right this time! If not, go back and reflect on it again, and consider doing some practice that targets the area you\u2019re having trouble with.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">You should also glance over your problem log once or twice during the week. There\u2019s no need to redo the problems when you do this\u2014just take fifteen minutes and reread your takeaways. This will remind you of what you\u2019ve learned and keep everything fresh in your mind.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">If Quantitative Comparison is a strong area for you, it\u2019s fine to take minimal notes and just jot down any huge takeaways. However, if you\u2019re performing better on other Quant problem types than you are on QC, intensify your review for a couple of weeks. Get organized and reflect deeply on every single problem. It\u2019s not about how many problems you do! It\u2019s about making (and understanding) your mistakes now so you don\u2019t make them on test day.<\/span><\/p>\n<p><strong>[ Related:<\/strong> <a href=\"https:\/\/www.manhattanprep.com\/gre\/blog\/review-gre-vocabulary-questions\/\">How to Review a GRE Vocabulary Question<\/a> <strong>]<\/strong><\/p>\n<p><em><strong>Don\u2019t forget that you can attend the first session of any of our online or in-person GRE courses absolutely free. We\u2019re not kidding! <a href=\"https:\/\/www.manhattanprep.com\/gre\/classes\/free\/\">Check out our upcoming courses here<\/a>.<\/strong><\/em><\/p>\n<hr \/>\n<p><b><i><em><strong><a id=\"bloglink\" href=\"https:\/\/www.manhattanprep.com\/instructors\/chelsey-cooley\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chelsey Cooley<\/a><a href=\"https:\/\/www.manhattanprep.com\/instructors\/chelsey-cooley\/?utm_source=manhattanprep.com%2Fgre%2Fblog&#038;utm_medium=blog&#038;utm_content=CooleyBioGREBlog&#038;utm_campaign=GRE%20Blog\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft\" title=\"Chelsey Cooley Manhattan Prep GRE Instructor\" src=\"https:\/\/cdn2.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/11\/chelsey-cooley-150x150.jpg\" alt=\"Chelsey Cooley Manhattan Prep GRE Instructor\" width=\"150\" height=\"150\" data-pin-nopin=\"true\" \/><\/a>\u00a0is a Manhattan Prep instructor based in Seattle, Washington.<\/strong>\u00a0<\/em><\/i><\/b><i><em>Chelsey always followed her heart when it came to her education. Luckily, her heart led her straight to the perfect background for GMAT and GRE teaching: she has undergraduate degrees in mathematics and history, a master\u2019s degree in linguistics, a 790 on the GMAT, and a perfect 170Q\/170V on the GRE.\u00a0<\/em><\/i><i><em><a id=\"bloglink\" href=\"https:\/\/www.manhattanprep.com\/gre\/classes\/#instructor\/48\" target=\"_blank\" rel=\"noopener noreferrer\">Check out Chelsey\u2019s upcoming GRE prep offerings here<\/a>.<\/em><\/i><\/p>\n","protected":false},"excerpt":{"rendered":"<p>When you miss a GRE Quantitative Comparison problem, it\u2019s easy to feel like you\u2019ve been \u201ctricked\u201d by the test. You know the saying \u201cfool me once, shame on me, fool me twice, shame on you?\u201d On the GRE, it goes the other way. Getting tricked once is a learning opportunity. But if you\u2019re getting tricked [&hellip;]<\/p>\n","protected":false},"author":127,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[421,6,530104],"tags":[127410],"yst_prominent_words":[1362664,1362661,1362660,1364206,1364209,1362634,1364216,1362669,1364207,1362632,1364210,1362628,1364214,1362633],"class_list":["post-12597","post","type-post","status-publish","format-standard","hentry","category-gre-quant-2","category-gre-strategies","category-quantitative-comparison-math-gre-strategies","tag-gre-quantitative-comparison"],"_links":{"self":[{"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts\/12597","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/users\/127"}],"replies":[{"embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/comments?post=12597"}],"version-history":[{"count":5,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts\/12597\/revisions"}],"predecessor-version":[{"id":12625,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts\/12597\/revisions\/12625"}],"wp:attachment":[{"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/media?parent=12597"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/categories?post=12597"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/tags?post=12597"},{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/yst_prominent_words?post=12597"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}