{"id":8601,"date":"2015-12-08T15:40:34","date_gmt":"2015-12-08T15:40:34","guid":{"rendered":"http:\/\/www.manhattanprep.com\/gre\/?p=8601"},"modified":"2019-08-30T16:42:49","modified_gmt":"2019-08-30T16:42:49","slug":"heres-how-to-always-know-what-to-do-on-any-gre-problem","status":"publish","type":"post","link":"https:\/\/www.manhattanprep.com\/gre\/blog\/heres-how-to-always-know-what-to-do-on-any-gre-problem\/","title":{"rendered":"Here&#8217;s How to Always Know What to Do on Any GRE Problem"},"content":{"rendered":"<h3><b><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-8605 alignnone\" src=\"\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/blog-greanyquestion.png\" alt=\"Blog-GREAnyQuestion\" width=\"676\" height=\"264\" srcset=\"https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/blog-greanyquestion.png 676w, https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/blog-greanyquestion-300x117.png 300w\" sizes=\"auto, (max-width: 676px) 100vw, 676px\" \/><\/b><\/h3>\n<p><strong><b><i>You can attend the first session of any of our online or in-person GRE courses absolutely free. Crazy, right?\u00a0<\/i><\/b><a id=\"bloglink\" href=\"https:\/\/www.manhattanprep.com\/gre\/classes\/\" target=\"_blank\" rel=\"noopener\"><b><i>Check out our upcoming courses here<\/i><\/b><\/a><b><i>.<\/i><\/b><\/strong><\/p>\n<hr \/>\n<h4><strong>&#8220;When I See This, I Will Do This&#8221;: A GRE Study Tool<\/strong><\/h4>\n<p><i><span style=\"font-weight: 400;\">&#8220;I know all of the rules, but I&#8217;m nowhere close to my goal score.&#8221;<\/span><\/i><\/p>\n<p><i><span style=\"font-weight: 400;\">&#8220;When I study, I understand everything right away. But when I took the actual GRE, I couldn&#8217;t make it happen.&#8221;<\/span><\/i><\/p>\n<p><i><span style=\"font-weight: 400;\">&#8220;I never know what to do when I see a Quant problem for the first time. If somebody tells me how to set the problem up, I can do it perfectly, but I can&#8217;t get started on my own.&#8221;<\/span><\/i><\/p>\n<p><i><span style=\"font-weight: 400;\">&#8220;I get overwhelmed by Verbal questions. I&#8217;ll think that my answer makes sense, but then I&#8217;ll review the problem and realize that there were a dozen different things I didn&#8217;t notice.&#8221;<\/span><\/i><!--more--><\/p>\n<p><span style=\"font-weight: 400;\">If any of those statements ring true for you, you&#8217;re not alone. You&#8217;ve probably been studying for a while, or you at least have a good grasp on the basic math, logic, and vocabulary. But getting a great GRE score isn&#8217;t just about knowing the content. It&#8217;s also about <\/span><i><span style=\"font-weight: 400;\">always knowing what to do next on any GRE problem<\/span><\/i><span style=\"font-weight: 400;\">. That&#8217;s what the <strong>\u201c<\/strong><\/span><b>When I see this, I will do this\u201d<\/b><span style=\"font-weight: 400;\"> technique is for.<\/span><span style=\"font-weight: 400;\"><b><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-8609 alignnone\" src=\"\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/see-this-do-this-empty-table---12-8-2015.png\" alt=\"See_this_do_this_empty_table_-_12_8_2015\" width=\"1031\" height=\"157\" srcset=\"https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/see-this-do-this-empty-table---12-8-2015.png 829w, https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/see-this-do-this-empty-table---12-8-2015-300x46.png 300w\" sizes=\"auto, (max-width: 1031px) 100vw, 1031px\" \/><\/b><\/span><span style=\"font-weight: 400;\">Before your next review session, create a new spreadsheet, or open your notebook to a fresh page. In the leftmost column, you&#8217;ll record <\/span><b>clues<\/b><span style=\"font-weight: 400;\">. In the middle column, you&#8217;ll record <\/span><b>responses<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><b>Clue: <\/b><span style=\"font-weight: 400;\">Any feature of a problem that stands out to you.\u00a0<\/span>Before your next review session, create a new spreadsheet or open your notebook to a fresh page. In the leftmost column, you&#8217;ll record <\/span><b>clues<\/b><span style=\"font-weight: 400;\">. In the middle column, you&#8217;ll record <\/span><b>responses<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><b>Response: <\/b><span style=\"font-weight: 400;\">The right thing to do when you notice a particular clue. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">For each problem you review, regardless of whether you got it right or wrong, record at least one clue and response. Make your clues general enough that they&#8217;ll be useful to you on other problems, but don&#8217;t make them too general. The perfect clue is one you&#8217;ll always react to in the same way, no matter where you see it. Here are some examples for Quant:<\/span><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-8610 alignnone\" src=\"\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/see-this-do-this-filled-table-1---12-8-2015.png\" alt=\"See_this_do_this_filled_table_1_-_12_8_2015\" width=\"1031\" height=\"473\" srcset=\"https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/see-this-do-this-filled-table-1---12-8-2015.png 1003w, https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/see-this-do-this-filled-table-1---12-8-2015-300x138.png 300w\" sizes=\"auto, (max-width: 1031px) 100vw, 1031px\" \/><span style=\"font-weight: 400;\">These are useful clues, since they&#8217;re neither too specific nor too general. You&#8217;ll probably see exponents with non-prime bases in many problems, and you&#8217;ll generally react to them in the same way, even though you might never see the specific equation 25<\/span><i><span style=\"font-weight: 400;\">x<\/span><\/i><span style=\"font-weight: 400;\"> = 5<\/span><i><span style=\"font-weight: 400;\">y<\/span><\/i><span style=\"font-weight: 400;\"> + 1<\/span><span style=\"font-weight: 400;\"> again. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Here&#8217;s an illustration of how you&#8217;d identify useful clues while reviewing a Quant problem. First, do the following problem:<\/span><\/p>\n<p style=\"padding-left: 30px;\"><span style=\"font-weight: 400;\">If <\/span><i><span style=\"font-weight: 400;\">t<\/span><\/i><span style=\"font-weight: 400;\"> is divisible by 12, what is the least possible integer value of <\/span><i><span style=\"font-weight: 400;\">a<\/span><\/i><span style=\"font-weight: 400;\"> for which <\/span><span style=\"font-weight: 400;\"><em>t<\/em>\u00b2<\/span><span style=\"font-weight: 400;\">\/<\/span><span style=\"font-weight: 400;\">2<em>\u02c6<\/em><\/span><em><span style=\"font-weight: 400;\">a<\/span><\/em><span style=\"font-weight: 400;\"> might not be an integer?<\/span><\/p>\n<p style=\"padding-left: 30px;\"><span style=\"font-weight: 400;\">(A) 2<br \/>\n<\/span><span style=\"font-weight: 400;\">(B) 3<br \/>\n<\/span><span style=\"font-weight: 400;\">(C) 4<br \/>\n<\/span><span style=\"font-weight: 400;\">(D) 5<br \/>\n<\/span><span style=\"font-weight: 400;\">(E) 6<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The solution: if <em>t<\/em>\u00b2<span style=\"font-weight: 400;\">\/<\/span><span style=\"font-weight: 400;\">2<em>\u02c6<\/em><\/span><em><span style=\"font-weight: 400;\">a<\/span><\/em><\/span>\u00a0<i><span style=\"font-weight: 400;\">might not be an integer<\/span><\/i><span style=\"font-weight: 400;\">, then <em>t<\/em>\u00b2<\/span><span style=\"font-weight: 400;\">\u00a0might not be divisible by 2<em>\u02c6<span style=\"font-weight: 400;\">a<\/span><\/em><\/span><span style=\"font-weight: 400;\">. Since <\/span><i><span style=\"font-weight: 400;\">t<\/span><\/i><span style=\"font-weight: 400;\"> is divisible by 12, its prime factors include 2, 2, and 3. So, the prime factors of <em>t<\/em>\u00b2<\/span><span style=\"font-weight: 400;\">\u00a0include 2, 2, 2, 2, 3, and 3. That makes it divisible by 2<em>\u02c6<\/em><\/span><span style=\"font-weight: 400;\">4<\/span><span style=\"font-weight: 400;\">, but it might not be divisible by 2<em>\u02c6<\/em><\/span><span style=\"font-weight: 400;\">5<\/span><span style=\"font-weight: 400;\">. So the right answer is <\/span><b>(D) 5<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">That&#8217;s a bit of a whirlwind solution, right? And knowing it well, even memorizing it, will do absolutely nothing for you on test day. To improve your understanding of the solution and provide yourself with takeaways for <\/span><i><span style=\"font-weight: 400;\">other <\/span><\/i><span style=\"font-weight: 400;\">problems, break it down into clues and responses. At each step of the solution, what was the right thing to do next, and why?<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The first step was to recognize the relationship between &#8220;<em>t<\/em>\u00b2<span style=\"font-weight: 400;\">\/<\/span><span style=\"font-weight: 400;\">2<em>\u02c6<\/em><\/span><span style=\"font-weight: 400;\">a<\/span><\/span><span style=\"font-weight: 400;\">\u00a0might not be an integer&#8221; and divisibility. That comes up in a lot of problems, because it&#8217;s a handy way for the GRE to disguise divisibility problems to make them harder. Here&#8217;s how you&#8217;d generalize it into a clue and response:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-8611 alignnone\" src=\"\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/see-this-do-this-filled-table-2---12-8-2015.png\" alt=\"See_this_do_this_filled_table_2_-_12_8_2015\" width=\"1031\" height=\"132\" srcset=\"https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/see-this-do-this-filled-table-2---12-8-2015.png 989w, https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/see-this-do-this-filled-table-2---12-8-2015-300x39.png 300w\" sizes=\"auto, (max-width: 1031px) 100vw, 1031px\" \/><span style=\"font-weight: 400;\">Whenever you see &#8220;<\/span><i><span style=\"font-weight: 400;\">a<\/span><\/i><span style=\"font-weight: 400;\">\/<\/span><i><span style=\"font-weight: 400;\">b<\/span><\/i><span style=\"font-weight: 400;\">\u00a0is an integer&#8221;, the right first step is to start thinking about divisibility.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The next step was to determine whether <em>t<\/em>\u00b2<\/span><span style=\"font-weight: 400;\">\u00a0was divisible by \u00a0<span style=\"font-weight: 400;\">2<em>\u02c6<\/em><\/span><em><span style=\"font-weight: 400;\">a<\/span><\/em><\/span><span style=\"font-weight: 400;\">. The solution jumped immediately to finding the prime factorization of <em>t<\/em>\u00b2<\/span><span style=\"font-weight: 400;\">, but why? Here&#8217;s the clue:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-8612 alignnone\" src=\"\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/see-this-do-this-filled-table-3---12-8-2015.png\" alt=\"See_this_do_this_filled_table_3_-_12_8_2015\" width=\"1031\" height=\"183\" srcset=\"https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/see-this-do-this-filled-table-3---12-8-2015.png 989w, https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/see-this-do-this-filled-table-3---12-8-2015-300x53.png 300w\" sizes=\"auto, (max-width: 1031px) 100vw, 1031px\" \/>Questions about divisibility are actually questions about prime factorization.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">There was another trick involved in finding the prime factors of <em>t<\/em>\u00b2<\/span><span style=\"font-weight: 400;\">. You might remember it from earlier in this article!<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-8613 alignnone\" src=\"\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/see-this-do-this-filled-table-4---12-8-2015.png\" alt=\"See_this_do_this_filled_table_4_-_12_8_2015\" width=\"1031\" height=\"215\" srcset=\"https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/see-this-do-this-filled-table-4---12-8-2015.png 989w, https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/see-this-do-this-filled-table-4---12-8-2015-300x62.png 300w\" sizes=\"auto, (max-width: 1031px) 100vw, 1031px\" \/><span style=\"font-weight: 400;\">That&#8217;s how you knew that <i>t<\/i>\u00b2<\/span><span style=\"font-weight: 400;\">\u00a0contained the prime factors 2, 2, 2, 2, 3, and 3. (You could add another row to your own spreadsheet, to remind yourself that <i>t<\/i>\u00b2<\/span>\u00a0<i><span style=\"font-weight: 400;\">might<\/span><\/i><span style=\"font-weight: 400;\"> contain other prime factors as well!)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Finally, how did you know that <i>t<\/i>\u00b2<\/span><span style=\"font-weight: 400;\">\u00a0was divisible by 2<\/span><span style=\"font-weight: 400;\">4<\/span><span style=\"font-weight: 400;\">, but not by 2<\/span><span style=\"font-weight: 400;\">5<\/span><span style=\"font-weight: 400;\">? Another clue:<\/span><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-8614 alignnone\" src=\"\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/see-this-do-this-filled-table-5---12-8-2015.png\" alt=\"See_this_do_this_filled_table_5_-_12_8_2015\" width=\"1031\" height=\"205\" srcset=\"https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/see-this-do-this-filled-table-5---12-8-2015.png 983w, https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/12\/see-this-do-this-filled-table-5---12-8-2015-300x60.png 300w\" sizes=\"auto, (max-width: 1031px) 100vw, 1031px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Since <\/span><i><span style=\"font-weight: 400;\">t<\/span><\/i><span style=\"font-weight: 400;\">\u00b2<\/span><span style=\"font-weight: 400;\">\u00a0can be divided by 2 four times, it must be divisible by 2<\/span><span style=\"font-weight: 400;\">4<\/span><span style=\"font-weight: 400;\">. You don&#8217;t know whether it can be divided by 2 a fifth time, so it might not be divisible by 2<\/span><span style=\"font-weight: 400;\">5<\/span><span style=\"font-weight: 400;\">. That makes <\/span><b>(D) 5<\/b><span style=\"font-weight: 400;\"> the correct answer.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Now, try using the clues from this problem to solve these micro-problems:<\/span><\/p>\n<ol>\n<li><span style=\"font-weight: 400;\"> Is 280\u00b3<\/span><span style=\"font-weight: 400;\">\u00a0divisible by 2<em>\u02c6<\/em><\/span><span style=\"font-weight: 400;\">12<\/span><span style=\"font-weight: 400;\">?<\/span><\/li>\n<li><i><span style=\"font-weight: 400;\">a<\/span><\/i><span style=\"font-weight: 400;\">\/20 is an integer, and 20\/<\/span><i><span style=\"font-weight: 400;\">b<\/span><\/i><span style=\"font-weight: 400;\">\u00a0is an integer. Is <\/span><i><span style=\"font-weight: 400;\">a<\/span><\/i><span style=\"font-weight: 400;\">\/<\/span><i><span style=\"font-weight: 400;\">b<\/span><\/i><span style=\"font-weight: 400;\">\u00a0an integer?<\/span><\/li>\n<li><span style=\"font-weight: 400;\"> If 3<em>\u02c6<\/em><\/span><span style=\"font-weight: 400;\">10<\/span><span style=\"font-weight: 400;\">\/<\/span><i><span style=\"font-weight: 400;\">y<\/span><\/i><span style=\"font-weight: 400;\">\u00a0is an integer, is <\/span><i><span style=\"font-weight: 400;\">y<\/span><\/i><span style=\"font-weight: 400;\">\/9<em>\u02c6<\/em><\/span><span style=\"font-weight: 400;\">8<\/span><span style=\"font-weight: 400;\">\u00a0an integer?<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">The more clues you add to your own list, the more you&#8217;ll notice that GRE problems test the same skills over and over. It&#8217;s not possible to see every problem\u2014that&#8217;s one good reason not to adopt a &#8216;quantity over quality&#8217; approach to studying! But it <\/span><i><span style=\"font-weight: 400;\">is<\/span><\/i><span style=\"font-weight: 400;\"> possible to learn which features are used over and over, and how to react to them. If you feel like you already know the content, but you can&#8217;t bring it together, then stop thinking so much about content and start thinking about <\/span><i><span style=\"font-weight: 400;\">knowing what to do next<\/span><\/i><span style=\"font-weight: 400;\">. That&#8217;s how you take control of the GRE.\u00a0?<\/span><\/p>\n<hr \/>\n<p><b><i>See that \u201cSUBSCRIBE\u201d button in the top right corner? Click on it to receive all our GRE blog updates straight to your inbox!<\/i><\/b><\/p>\n<hr \/>\n<p><em><strong><a href=\"https:\/\/www.manhattanprep.com\/instructors\/chelsey-cooley\/#\" target=\"_blank\" rel=\"noopener\">Chelsey Cooley<\/a><a href=\"https:\/\/www.manhattanprep.com\/instructors\/chelsey-cooley\/#\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-8513 size-thumbnail\" src=\"\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/11\/chelsey-cooley-150x150.jpg\" alt=\"Chelsey-Cooley\" width=\"150\" height=\"150\" srcset=\"https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/11\/chelsey-cooley-150x150.jpg 150w, https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/11\/chelsey-cooley-300x300.jpg 300w, https:\/\/www.manhattanprep.com\/gre\/wp-content\/uploads\/sites\/19\/2015\/11\/chelsey-cooley.jpg 622w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/a>\u00a0is a Manhattan Prep instructor based in Seattle, Washington.<\/strong>\u00a0Chelsey 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 170\/170 on the GRE. Check out Chelsey&#8217;s upcoming GRE prep offerings <a href=\"\/\/www.manhattanprep.com\/gre\/classes\/#instructor\/48\">here<\/a>.<\/em><\/p>\n<p>\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>You can attend the first session of any of our online or in-person GRE courses absolutely free. Crazy, right?\u00a0Check out our upcoming courses here. &#8220;When I See This, I Will Do This&#8221;: A GRE Study Tool &#8220;I know all of the rules, but I&#8217;m nowhere close to my goal score.&#8221; &#8220;When I study, I understand [&hellip;]<\/p>\n","protected":false},"author":127,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15,16,2,474284,3,921840,6,7,9,10,733445,154333],"tags":[1362490,160],"yst_prominent_words":[],"class_list":["post-8601","post","type-post","status-publish","format-standard","hentry","category-gre-math-algebra","category-gre-applications","category-challenge-problems","category-current-studiers","category-grad-school","category-gre-prep-2","category-gre-strategies","category-how-to-study","category-math-gre-strategies","category-gre-basic-math","category-study-tips-2","category-taking-the-gre-2","tag-any-gre-problem","tag-gre-problem"],"_links":{"self":[{"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts\/8601","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=8601"}],"version-history":[{"count":14,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts\/8601\/revisions"}],"predecessor-version":[{"id":10923,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts\/8601\/revisions\/10923"}],"wp:attachment":[{"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/media?parent=8601"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/categories?post=8601"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/tags?post=8601"},{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/yst_prominent_words?post=8601"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}