{"id":4826,"date":"2016-10-20T18:06:31","date_gmt":"2016-10-20T12:36:31","guid":{"rendered":"http:\/\/race4job.com\/blog\/?p=4826"},"modified":"2016-10-21T17:56:56","modified_gmt":"2016-10-21T12:26:56","slug":"quiz-quantitative-aptitude","status":"publish","type":"post","link":"https:\/\/www.race4job.com\/blog\/quiz-quantitative-aptitude\/","title":{"rendered":"Quiz In Quantitative Aptitude"},"content":{"rendered":"<p><span style=\"color: #ff0000;\">Directions (Q. 1-5) :<\/span> In each of the questions below, two\u00a0equations are provided. On the basis of these you have to<br \/>\nfind out the relation between p and q.\u00a0Give answer<br \/>\n(1) If P = Q<br \/>\n(2) If P &gt; Q<br \/>\n(3) If P &lt; Q<br \/>\n(4) If P \u2265 Q<br \/>\n(5) If P \u2264 Q<\/p>\n<ol start=\"1\">\n<li>P<sup>2<\/sup> \u2013 P \u2013 12 = 0; \u00a0 \u00a0 \u00a0Q<sup>2<\/sup> \u2013 3Q \u2013 28 = 0<span style=\"color: #ff0000;\">(5)<\/span><\/li>\n<li>2P<sup>2<\/sup> \u2013 11P + 5 = 0; \u00a03Q<sup>2<\/sup> \u2013 13Q + 4 = 0<span style=\"color: #ff0000;\">(2)<\/span><\/li>\n<li>P<sup>2<\/sup> + 7P + 12 = 0; \u00a0 \u00a0Q<sup>2<\/sup> + 2Q \u2013 3 = 0<span style=\"color: #ff0000;\">(5)<\/span><\/li>\n<li>3P + Q = 1; \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 8P + 12Q = 5<span style=\"color: #ff0000;\">(1)<\/span><\/li>\n<li>P<sup>2<\/sup> + 5P \u2013 14 = 0; \u00a0 \u00a0Q<sup>2<\/sup> + 6Q \u2013 7 = 0<span style=\"color: #ff0000;\">(4)<\/span><\/li>\n<\/ol>\n<p><span style=\"color: #ff0000;\">Directions (Q. 6-10) :<\/span> In each of the questions below, two\u00a0equations are provided. On the basis of these you have to<br \/>\nfind out the relation between p and q.<\/p>\n<p><span style=\"color: #ff0000;\">Give answer<\/span><br \/>\n(1) If P = Q<br \/>\n(2) If P &gt; Q<br \/>\n(3) If P &lt; Q<br \/>\n(4) If P \u2265 Q<br \/>\n(5) If P \u2264 Q<\/p>\n<ol start=\"6\">\n<li>P<sup>2<\/sup> \u2013 5P + 6 = 0; \u00a0 \u00a0 \u00a0 \u00a0Q<sup>2<\/sup> +Q \u2013 6 = 0<span style=\"color: #ff0000;\">(4)<\/span><\/li>\n<li>2P<sup>2<\/sup> + 12P + 16 = 0; \u00a02Q<sup>2<\/sup> + 14 Q + 24 = 0<span style=\"color: #ff0000;\">(4)<\/span><\/li>\n<li>2P<sup>2<\/sup> + 48 = 20P; \u00a0 \u00a0 \u00a0 \u00a02Q<sup>2<\/sup> + 18 = 12Q<span style=\"color: #ff0000;\">(2)<\/span><\/li>\n<li>Q<sup>2<\/sup> + Q = 2; \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 P<sup>2<\/sup> + 7P + 10 = 0<span style=\"color: #ff0000;\">(5)<\/span><\/li>\n<li>P<sup>2<\/sup> + 36 = 12P; \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 4Q<sup>2<\/sup> + 144 = 48Q<span style=\"color: #ff0000;\">(1)<\/span><\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<h2 style=\"text-align: center;\"><span style=\"color: #ff0000;\">EXPLANATIONS<\/span><\/h2>\n<p><span style=\"color: #ff0000;\">11.\u00a0<\/span>P<sup>2<\/sup> \u2013 P \u2013 12 = 0\u00a0By solving P = \u20134 and 3<\/p>\n<p>Q<sup>2<\/sup> \u2013 3Q \u2013 28 = 0\u00a0By solving Q = \u20134 and 7<br \/>\n\u2234 P \u2264 Q.<\/p>\n<p><span style=\"color: #ff0000;\">12.<\/span> 2P<sup>2<\/sup> \u2013 11P + 5 = 0\u00a0By solving P = 1\/2\u00a0and 5<br \/>\n3Q<sup>2<\/sup> \u2013 13Q + 4 = 0\u00a0By solving Q =1\/3\u00a0and 4<br \/>\n\u2234 P &gt; Q.<\/p>\n<p><span style=\"color: #ff0000;\">13.<span style=\"color: #333333;\">P<sup>2<\/sup><\/span><\/span>+ 7P + 12 = 0<br \/>\n\u21d2 (P + 3) (P + 4) = 0 \u21d2 P = \u20133, \u20134<br \/>\nQ<sup>2<\/sup> + 2Q \u2013 3 = 0<br \/>\n\u21d2 (Q \u2013 1) (Q + 3) = 0 \u21d2 Q = 1, \u20133<br \/>\n\u2234 P \u2264 Q.<\/p>\n<p><span style=\"color: #ff0000;\">14.<\/span> 3P + Q = 1\u00a08P + 12Q = 5<br \/>\nBy solving P =1\/4\u00a0and Q =1\/4<br \/>\n\u2234 P = Q.<\/p>\n<p><span style=\"color: #ff0000;\">15.<\/span> P<sup>2<\/sup> + 5P \u2013 14 = 0<br \/>\n\u21d2 (P \u2013 2) (P + 7) = 0 \u21d2 P = 2, \u20137<br \/>\nQ<sup>2<\/sup> + 6Q \u2013 7 = 0<br \/>\n\u21d2 (Q \u2013 1) (Q + 7) = 0 \u21d2 Q = 1, \u20137<br \/>\n\u2234 P \u2265 Q.<\/p>\n<p><span style=\"color: #ff0000;\">16.<\/span> P<sup>2<\/sup> \u2013 5P + 6 = 0<br \/>\nBy solving we get P values as 2 and 3<br \/>\nQ<sup>2<\/sup> +Q \u2013 6 = 0<br \/>\nBy solving we get Q values as 2 and \u20133<br \/>\n\u2234 P \u2265 Q.<\/p>\n<p><span style=\"color: #ff0000;\">17.<\/span> 2P<sup>2<\/sup> + 12P + 16 = 0<br \/>\nBy solving we get P values as \u20134 and \u20132.<br \/>\n2Q<sup>2<\/sup> + 14 Q + 24 = 0<br \/>\nBy solving we get Q values as \u20133 and \u20134<br \/>\n\u2234 P \u2265 Q.<\/p>\n<p><span style=\"color: #ff0000;\">18.<\/span> 2P<sup>2<\/sup> + 48 = 20P<br \/>\nBy solving we get P values as 4 and 6<br \/>\n2Q<sup>2<\/sup> + 18 = 12Q<br \/>\nBy solving we get Q values as 3 and 3<br \/>\n\u2234 P &gt; Q.<\/p>\n<p><span style=\"color: #ff0000;\">19.<span style=\"color: #333333;\">Q<sup>2<\/sup> <\/span><\/span>\u00a0+ Q = 2<br \/>\nBy solving we get P values as 1 and \u20132<br \/>\nP<sup>2<\/sup> + 7P + 10 = 0<br \/>\nBy solving we get Q values as \u20132 and \u20135<br \/>\n\u2234 P \u2264 Q.<\/p>\n<p><span style=\"color: #ff0000;\">20.<\/span> P<sup>2<\/sup>+ 36\u00a0= 12P<br \/>\nBy solving we get P values as 6 and \u20136<br \/>\n4Q<sup>2<\/sup> + 144 = 48Q<br \/>\nBy solving we get Q values as 6 and \u20136<br \/>\n\u2234 P = Q.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Directions (Q. 1-5) : In each of the questions below, two\u00a0equations are provided. On the basis of these you have to find out the relation between p and q.\u00a0Give answer (1) If P = Q (2) If P &gt; Q (3) If P &lt; Q (4) If P \u2265 Q (5) If P \u2264 Q [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-4826","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"description\" content=\"Directions (Q. 1-5) : In each of the questions below, two equations are provided. On the basis of these you have to find out the relation between p and q. 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Give answer (1) If P = Q (2) If P > Q (3) If P < Q (4) If P \u2265 Q (5) If P \u2264 Q","inLanguage":"en-US","isPartOf":{"@id":"https:\/\/www.race4job.com\/blog\/#website"},"breadcrumb":{"@id":"https:\/\/www.race4job.com\/blog\/quiz-quantitative-aptitude\/#breadcrumblist"},"author":{"@id":"https:\/\/www.race4job.com\/blog\/author\/racebe4\/#author"},"creator":{"@id":"https:\/\/www.race4job.com\/blog\/author\/racebe4\/#author"},"datePublished":"2016-10-20T18:06:31+05:30","dateModified":"2016-10-21T17:56:56+05:30"},{"@type":"WebSite","@id":"https:\/\/www.race4job.com\/blog\/#website","url":"https:\/\/www.race4job.com\/blog\/","description":"SBI, RRB, IBPS, Latest Current Affairs,Sbi po, Sbi clerks.","inLanguage":"en-US","publisher":{"@id":"https:\/\/www.race4job.com\/blog\/#organization"}}]},"og:locale":"en_US","og:site_name":"| SBI, RRB, IBPS, Latest Current Affairs,Sbi po, Sbi clerks.","og:type":"article","og:title":"Quiz In Quantitative Aptitude |","og:description":"Directions (Q. 1-5) : In each of the questions below, two equations are provided. On the basis of these you have to find out the relation between p and q. Give answer (1) If P = Q (2) If P &gt; Q (3) If P &lt; Q (4) If P \u2265 Q (5) If P \u2264 Q","og:url":"https:\/\/www.race4job.com\/blog\/quiz-quantitative-aptitude\/","article:published_time":"2016-10-20T12:36:31+00:00","article:modified_time":"2016-10-21T12:26:56+00:00","twitter:card":"summary","twitter:title":"Quiz In Quantitative Aptitude |","twitter:description":"Directions (Q. 1-5) : In each of the questions below, two equations are provided. On the basis of these you have to find out the relation between p and q. 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