{"id":20937,"date":"2019-05-10T21:03:10","date_gmt":"2019-05-10T15:33:10","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=20937"},"modified":"2019-05-13T14:04:40","modified_gmt":"2019-05-13T08:34:40","slug":"in-the-figure-above-%ce%b4pqr-has-angle-measures-as-shown-is-x-y-og-2020-question-289-with-solution","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/in-the-figure-above-%ce%b4pqr-has-angle-measures-as-shown-is-x-y-og-2020-question-289-with-solution\/","title":{"rendered":"In the figure above, \u0394PQR has angle measures as shown. Is x < y? \u2013 OG 2020 Question #289 with Solution"},"content":{"rendered":"<span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\">2<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span><div class='two_third'>\n\t\t\t\t\t<p><img loading=\"lazy\" class=\"size-full wp-image-20946 alignleft\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/OG_DS_289.png\" alt=\"\" width=\"189\" height=\"146\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>In the figure above, \u0394PQR has angle measures as shown. Is x &lt; y?<\/p>\n<ol>\n<li>PQ = QR<\/li>\n<li>PR &gt; QR<\/li>\n<\/ol>\n\t\t\t\t<\/div>\n<div class='one_third et_column_last'>\n\t\t\t\t\t<table>\n<tbody>\n<tr>\n<td width=\"301\">Source<\/td>\n<td width=\"301\">OG 2020<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Type<\/td>\n<td width=\"301\">Data Sufficiency<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Topic<\/td>\n<td width=\"301\">Geometry<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Sub-Topic<\/td>\n<td width=\"301\">Triangles<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Difficulty<\/td>\n<td width=\"301\">Medium<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\t\t\t\t<\/div><div class='clear'><\/div>\n<h3>Solution<\/h3>\n<h4><strong><u>Steps 1 &amp; 2: Understand Question and Draw Inferences<\/u><\/strong><\/h4>\n<p>In this question, we are given<\/p>\n<ul>\n<li>The figure of a triangle PQR, where angle P = x\u00b0, angle Q = y\u00b0 and angle R = 58\u00b0<\/li>\n<\/ul>\n<p>From this information, we need to determine<\/p>\n<ul>\n<li>If x &lt; y or not.<\/li>\n<\/ul>\n<p>As PQR is a triangle, the sum of the three angles must be equal to 180\u00b0<\/p>\n<ul>\n<li>x\u00b0 + y\u00b0 + 58\u00b0 = 180\u00b0<\/li>\n<li>Or, x\u00b0 + y\u00b0 = 180\u00b0 &#8211; 58\u00b0 = 122\u00b0<\/li>\n<\/ul>\n<p>Hence, to determine whether x &lt; y, we need to know the value of either x or y.<\/p>\n<p>With this information, let us now analyse the individual statements.<\/p>\n<p>&nbsp;<\/p>\n<h4><strong><u>Step 3: Analyse Statement 1<\/u><\/strong><\/h4>\n<p>As per the information given in statement 1, PQ = QR.<\/p>\n<ul>\n<li>Therefore, we can say angle QPR = angle QRP<\/li>\n<li>Or, x\u00b0 = 58\u00b0<\/li>\n<\/ul>\n<p>As we can determine the value of x, we can also determine the value of y and find out whether x &lt; y or not.<\/p>\n<p>Hence, statement 1 is sufficient to answer the question.<\/p>\n<p>&nbsp;<\/p>\n<h4><strong><u>Step 4: Analyse Statement 2<\/u><\/strong><\/h4>\n<p>As per the information given in statement 2, PR &gt; QR.<\/p>\n<ul>\n<li>Therefore, the angle opposite to PR &gt; the angle opposite to QR<\/li>\n<li>Or, y &gt; x<\/li>\n<\/ul>\n<p>As we can determine whether x &lt; y or not, statement 2 is sufficient to answer the question.<\/p>\n<p>&nbsp;<\/p>\n<h4><strong><u>Step 5: Combine Both Statements Together (If Needed)<\/u><\/strong><\/h4>\n<p>Since we could determine the answer from either of the statements individually, this step is not required.<\/p>\n<p>Hence, the correct answer is option D.<\/p>\n<blockquote><p><em><strong>GMAT OG is a great source of practice questions for the GMAT. However, to build your concepts and application GMAT OG will not be sufficient.\u00a0If you are planning to take the GMAT, we can help you by giving you access to quality online content to prepare. \u00a0We are the\u00a0<a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" target=\"_blank\" rel=\"noopener external noreferrer\" data-wpel-link=\"external\">most reviewed GMAT prep company on gmatclub<\/a>\u00a0with more than 1825 reviews (as on May 13, 2019). 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As PQR is a triangle, the [&hellip;]<\/p>\n","protected":false},"author":79663,"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":"","ub_ctt_via":""},"categories":[104,44,94,60,100],"tags":[],"featured_image_src":null,"author_info":{"display_name":"Juhi Gupta","author_link":"https:\/\/e-gmat.com\/blogs\/author\/juhie-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.1.1 (Yoast SEO v17.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>In the figure above, \u0394PQR has angle measures as shown. Is x &lt; y? \u2013 OG 2020 Question #289 with Solution<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/e-gmat.com\/blogs\/in-the-figure-above-\u03b4pqr-has-angle-measures-as-shown-is-x-y-og-2020-question-289-with-solution\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"In the figure above, \u0394PQR has angle measures as shown. Is x &lt; y? \u2013 OG 2020 Question #289 with Solution\" \/>\n<meta property=\"og:description\" content=\"Solution Steps 1 &amp; 2: Understand Question and Draw Inferences In this question, we are given The figure of a triangle PQR, where angle P = x\u00b0, angle Q = y\u00b0 and angle R = 58\u00b0 From this information, we need to determine If x &lt; y or not. 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