{"id":21169,"date":"2019-05-15T15:58:05","date_gmt":"2019-05-15T10:28:05","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21169"},"modified":"2023-03-31T10:40:20","modified_gmt":"2023-03-31T05:10:20","slug":"og-q324-is-quadrilateral-pqrs-a-parallelogram","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/og-q324-is-quadrilateral-pqrs-a-parallelogram\/","title":{"rendered":"GMAT Quant OGQR 2020 Question #324 with Solution -&#8220;Is quadrilateral PQRS a parallelogram?&#8230;&#8221;"},"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>\n<h2 id=\"h-og-2020-question-no-324\">OG 2020: Question No. 324<\/h2>\n\n\n\n<p>Is quadrilateral PQRS a parallelogram?<\/p>\n\n\n\n<ol><li>Adjacent sides PQ and QR have the same length.<\/li><li>Adjacent sides RS and SP have the same length.<\/li><\/ol>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Source<\/strong><\/td><td><strong>OG 2020<\/strong><\/td><\/tr><tr><td>Type<\/td><td>Data Sufficiency<\/td><\/tr><tr><td>Topic<\/td><td>Geometry<\/td><\/tr><tr><td>Sub-Topic<\/td><td>Quadrilateral<\/td><\/tr><tr><td>Difficulty<\/td><td>Medium<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 id=\"h-solution\">Solution<\/h3>\n\n\n\n<h4 id=\"h-steps-1-2-understand-question-and-draw-inferences\"><strong><u>Steps 1 &amp; 2: Understand Question and Draw Inferences<\/u><\/strong><\/h4>\n\n\n\n<p>In this question, we are asked to determine<\/p>\n\n\n\n<ul><li>Whether the quadrilateral PQRS is a parallelogram or not.<\/li><\/ul>\n\n\n\n<p>If PQRS is a parallelogram, then the opposite sides of PQRS will be parallel and equal to each other.<\/p>\n\n\n\n<p>However, from the question statement, we do not get any such relevant information.<\/p>\n\n\n\n<p>Hence, let us now analyse the individual statements.<\/p>\n\n\n\n<h4 id=\"h-step-3-analyse-statement-1\"><strong><u>Step 3: Analyse Statement 1<\/u><\/strong><\/h4>\n\n\n\n<p>As per the information given in statement 1, adjacent sides PQ and QR have the same length.<\/p>\n\n\n\n<ul><li>However, from this information, we cannot make any conclusion whether PQRS is a parallelogram or not, as we do not have any relevant information regarding the opposite side pair.<\/li><\/ul>\n\n\n\n<p>Hence, statement 1 is not sufficient to answer the question.<\/p>\n\n\n\n<h4 id=\"h-step-4-analyse-statement-2\"><strong><u>Step 4: Analyse Statement 2<\/u><\/strong><\/h4>\n\n\n\n<p>As per the information given in statement 2, adjacent sides RS and SP have the same length.<\/p>\n\n\n\n<ul><li>However, from this information, we cannot make any conclusion whether PQRS is a parallelogram or not, as we do not have any relevant information regarding the opposite side pair.<\/li><\/ul>\n\n\n\n<p>Hence, statement 2 is not sufficient to answer the question.<\/p>\n\n\n\n<h4 id=\"h-step-5-combine-both-statements-together-if-needed\"><strong><u>Step 5: Combine Both Statements Together (If Needed)<\/u><\/strong><\/h4>\n\n\n\n<p>Combining the information from both statements, we get<\/p>\n\n\n\n<ul><li>PQ = QR<\/li><li>RS = SP<\/li><\/ul>\n\n\n\n<p>However, we cannot say whether PQ = RS and QR = SP, and whether the opposite sides are parallel to each other or not.<\/p>\n\n\n\n<p>Therefore, even after combining both statements, we cannot get the answer.<\/p>\n\n\n\n<p>Hence, the correct answer is option E.<\/p>\n\n\n\n<h3>Takeaway:<\/h3>\n\n\n\n<p>Any quadrilateral with equal and parallel opposite sides is a parallelogram.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>Did you know a 700+ GMAT Score can increase your chances to get into your dream business school? We can help you achieve that. Why don\u2019t you<a href=\"https:\/\/e-gmat.com\/ft-gmat\/?channel=blogsin_article&amp;utm_source=blogs&amp;utm_medium=in_article&amp;utm_campaign=free_trial&amp;utm_term=blogs_in_article_lekhika\" target=\"_blank\" rel=\"noopener noreferrer external\" data-wpel-link=\"external\">&nbsp;<strong>try out our FREE Trial?<\/strong><\/a><strong>&nbsp;<\/strong>We are the<strong>&nbsp;<a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" target=\"_blank\" rel=\"noopener noreferrer external\" data-wpel-link=\"external\">most reviewed online GMAT Preparation company in GMATClub<\/a><\/strong>&nbsp;with more than 2500 reviews as of February 2023.<\/p><\/blockquote>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-22eca04c-2816-4346-b80d-4c4ed6b8528d\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium ub-button-flex-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-block-btn\">Sign up for a Free Trial<\/span>\n    <\/div><\/a><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>OG 2020: Question No. 324 Is quadrilateral PQRS a parallelogram? Adjacent sides PQ and QR have the same length. Adjacent sides RS and SP have the same length. Source OG 2020 Type Data Sufficiency Topic Geometry Sub-Topic Quadrilateral Difficulty Medium Solution Steps 1 &amp; 2: Understand Question and Draw Inferences In this question, we are [&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>GMAT Quant OGQR 2020 Question #324 with Solution -&quot;Is quadrilateral PQRS a parallelogram?...&quot;<\/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\/og-q324-is-quadrilateral-pqrs-a-parallelogram\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"GMAT Quant OGQR 2020 Question #324 with Solution -&quot;Is quadrilateral PQRS a parallelogram?...&quot;\" \/>\n<meta property=\"og:description\" content=\"OG 2020: Question No. 324 Is quadrilateral PQRS a parallelogram? Adjacent sides PQ and QR have the same length. Adjacent sides RS and SP have the same length. 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