{"id":21340,"date":"2022-05-21T01:37:00","date_gmt":"2022-05-20T20:07:00","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21340"},"modified":"2022-11-16T17:22:16","modified_gmt":"2022-11-16T11:52:16","slug":"consider-the-following-set-of-inequalities-p-q-s-r-q-t-s-p-and-r-q-between-which-two-quantities-is-no-relationship-established-ogqr-2020-question-81-with-solution","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/consider-the-following-set-of-inequalities-p-q-s-r-q-t-s-p-and-r-q-between-which-two-quantities-is-no-relationship-established-ogqr-2020-question-81-with-solution\/","title":{"rendered":"Consider the following set of inequalities: p > q, s > r, q > t, s > p, and r > q. Between which two quantities is no relationship established?  &#8211; OGQR 2020 Question #81 with Solution"},"content":{"rendered":"<span class=\"span-reading-time rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\"> &lt; 1<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span>\n<h2 class=\"wp-block-heading\" id=\"h-ogqr-2020-question-no-81\">OGQR 2020: Question No. 81<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Consider the following set of inequalities: p &gt; q, s &gt; r, q &gt; t, s &gt; p, and r &gt; q. Between which two quantities is no relationship established?<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Source<\/td><td>OGQR 2020<\/td><\/tr><tr><td>Type<\/td><td>Problem Solving<\/td><\/tr><tr><td>Topic<\/td><td>Algebra<\/td><\/tr><tr><td>Sub-Topic<\/td><td>Inequality<\/td><\/tr><tr><td>Difficulty<\/td><td>Medium<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-solution\">Solution<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-given\"><strong><u>Given<\/u><\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">In this question, we are given a set of inequalities, as follows<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>p &gt; q<\/li><li>s &gt; r<\/li><li>q &gt; t<\/li><li>s &gt; p<\/li><li>r &gt; q<\/li><\/ul>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-to-find\"><strong><u>To Find<\/u><\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">We need to determine<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>There is no relationship between which two quantities.<\/li><\/ul>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-approach-working\"><strong><u>Approach &amp; Working<\/u><\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Combining the relations s &gt; p, p &gt; q and q &gt; t, we can write<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Relation 1: s &gt; p &gt; q &gt; t<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Also, combining the relations s &gt; r, r &gt; q, and q &gt; t, we can write<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Relation 2: s &gt; r &gt; q &gt; t<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Now, checking the options one at a time:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Between p and r: no direct relation exist<\/li><li>Between s and t: from either relation we can say s &gt; t<\/li><li>Between s and q: from either relation we can say s &gt; q<\/li><li>Between p and t: from relation 1 we can say p &gt; t<\/li><li>Between r and t: from relation 2 we can say r &gt; t<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Hence, the correct answer is option A.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p><strong>If you are planning to take the GMAT, we can help you with a personalized study plan and give you access to quality online content to prepare.<\/strong>&nbsp;<strong>Write to us at&nbsp;<a href=\"mailto:acethegmat@e-gmat.com\" target=\"_blank\" rel=\"noreferrer noopener\">acethegmat@e-gmat.com<\/a>. 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Between which two quantities is no relationship established? Source OGQR 2020 Type Problem Solving Topic Algebra Sub-Topic Inequality Difficulty Medium Solution Given In this question, we are given [&hellip;]<\/p>\n","protected":false},"author":102413,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[44,94,100],"tags":[],"class_list":["post-21340","post","type-post","status-publish","format-standard","hentry","category-gmat-official-guide-solutions","category-gmat-prep","category-quant-official-guide-solutions","et-doesnt-have-format-content","et_post_format-et-post-format-standard"],"featured_image_src":null,"author_info":{"display_name":"Ashutosh","author_link":"https:\/\/e-gmat.com\/blogs\/author\/ashutoshe-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Consider the following set of inequalities: p &gt; q, s &gt; r, q &gt; t, s &gt; p, and r &gt; q. 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