{"id":4801,"date":"2016-10-19T18:05:00","date_gmt":"2016-10-19T12:35:00","guid":{"rendered":"http:\/\/race4job.com\/blog\/?p=4801"},"modified":"2016-10-21T17:18:52","modified_gmt":"2016-10-21T11:48:52","slug":"quantitative-aptitudr","status":"publish","type":"post","link":"https:\/\/www.race4job.com\/blog\/quantitative-aptitudr\/","title":{"rendered":"Quantitative Aptitude Quiz"},"content":{"rendered":"<h2><span style=\"color: #ff0000;\">QUADRATIC EQUATIONS<\/span><\/h2>\n<ul>\n<li>A polynomial of degree 2 is called Quadratic Equation.<\/li>\n<li>A general form of quadratic equation is ax2 + bx + c = 0<\/li>\n<li>Two quadratic equations are given in the questions. We have to find out the values of the variables<br \/>\nand compare them. Based on the relation, conclusions have to be made.<\/li>\n<\/ul>\n<p><span style=\"color: #ff0000;\">Directions (Q. 1-5) :<\/span> In each of the questions below, two<br \/>\nequations are provided. On the basis of these you have to<br \/>\nfind out the relation between x and y.<\/p>\n<p><span style=\"color: #0000ff;\">Give answer<\/span><br \/>\n(1) If x = y<br \/>\n(2) If x &gt; y<br \/>\n(3) If x &lt; y<br \/>\n(4) If x \u2265 y<br \/>\n(5) If x \u2264 y<br \/>\n1.\u00a0x<sup>2<\/sup> + 8x + 15 = 0; y<sup>2<\/sup> + 11y + 30 = 0<span style=\"color: #ff0000;\">(4)<\/span><\/p>\n<ol start=\"2\">\n<li>x<sup>2 <\/sup>+ 7x = 30; y<sup>2<\/sup> \u2013 64 = 0<span style=\"color: #ff0000;\">(3)<\/span><\/li>\n<li>3x + y \u2013 1 = 0; 8x + 12y \u2013 5 = 0<span style=\"color: #ff0000;\">(1)<\/span><\/li>\n<li>x<sup>2<\/sup> \u2013 5x + 66 = 0; y<sup>2<\/sup> \u2013 10y = 11<span style=\"color: #ff0000;\">(5)<\/span><\/li>\n<li>2x<sup>2<\/sup> + 3x = 2; 2y<sup>2<\/sup> + 11y = \u201315<span style=\"color: #ff0000;\">(2)<\/span><\/li>\n<\/ol>\n<p><span style=\"color: #ff0000;\">Directions (Q. 6-10) : In each of the questions below, two<\/span><br \/>\n<span style=\"color: #ff0000;\"> equations are provided. On the basis of these you have to<\/span><br \/>\n<span style=\"color: #ff0000;\"> find out the relation between x and y.<\/span><\/p>\n<p><span style=\"color: #0000ff;\">Give answer<\/span><br \/>\n(1) If x = y<br \/>\n(2) If x &gt; y<br \/>\n(3) If x &lt; y<br \/>\n(4) If x \u2265 y<br \/>\n(5) If x \u2264 y<\/p>\n<ol start=\"6\">\n<li>x<sup>2<\/sup> \u2013 x \u2013 12 = 0; y<sup>2<\/sup> \u2013 7y + 12 = 0<span style=\"color: #ff0000;\">(5)<\/span><\/li>\n<li>x<sup>2 <\/sup>\u2013 2x \u2013 35 = 0; y<sup>2<\/sup> \u2013 6y + 27 = 0<span style=\"color: #ff0000;\">(3)<\/span><\/li>\n<li>x<sup>2 <\/sup>\u2013 10x + 16 = 0; y<sup>2<\/sup> + y \u2013 30 = 0<span style=\"color: #ff0000;\">(2)<\/span><\/li>\n<li>2x<sup>2<\/sup> + 3x = 2; 2y<sup>2<\/sup> + 11y = \u201315<span style=\"color: #ff0000;\">(2)<\/span><\/li>\n<li>3x + y \u2013 1 = 0; 8x + 12y \u2013 5 = 0<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;\">1.<\/span> On solving,\u00a0x values are \u20135 and \u20133, y values are \u20135 and \u20136.<br \/>\n\u2234 x \u2265 y<br \/>\n<span style=\"color: #ff0000;\">2.<\/span> On solving,\u00a0x values are \u201310 and 3, y values are 8 and \u20138<br \/>\n\u2234 x &lt; y<br \/>\n<span style=\"color: #ff0000;\">3.<\/span> On solving,\u00a0both x and y values are 1\/4 and 1\/4<\/p>\n<p>\u2234 x = y<\/p>\n<p><span style=\"color: #ff0000;\">4.<\/span> On solving,\u00a0x values are 11 and \u20136, y values are 11 and \u20131<br \/>\n\u2234 x \u2264 y<br \/>\n<span style=\"color: #ff0000;\">5.<\/span> On solving,\u00a0x values are\u00a0 1\/2\u00a0and \u20132, y values are \u20133 and\u00a05\/2<br \/>\n\u2234 x &gt; y<\/p>\n<p><span style=\"color: #ff0000;\">6.<\/span> On solving we get,\u00a0x values as 4 and \u20133, y values as 4 and 3<br \/>\n\u2234 x \u2264 y<\/p>\n<p><span style=\"color: #ff0000;\">7.<\/span> On solving we get,\u00a0x values as 7 and \u20135, y values as 9 and \u20133<br \/>\n\u2234 x &lt; y<br \/>\n<span style=\"color: #ff0000;\">8.<\/span> On solving we get,\u00a0x values as 8 and 2, y values are 5 and \u20136<br \/>\n\u2234 x &gt; y<br \/>\n<span style=\"color: #ff0000;\">9.<\/span> On solving,\u00a0x values are\u00a0 1\/2 \u00a0and \u20132 , y values are \u20133 and &#8211;\u00a05\/2<br \/>\n\u2234 x &gt; y<br \/>\n<span style=\"color: #ff0000;\">10.<\/span> On solving,\u00a0both x and y values are\u00a0 1\/4 \u00a0and\u00a0 1\/4<br \/>\n\u2234 x = y.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>QUADRATIC EQUATIONS A polynomial of degree 2 is called Quadratic Equation. A general form of quadratic equation is ax2 + bx + c = 0 Two quadratic equations are given in the questions. We have to find out the values of the variables and compare them. Based on the relation, conclusions have to be made. [&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-4801","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/posts\/4801","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/comments?post=4801"}],"version-history":[{"count":2,"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/posts\/4801\/revisions"}],"predecessor-version":[{"id":4880,"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/posts\/4801\/revisions\/4880"}],"wp:attachment":[{"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/media?parent=4801"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/categories?post=4801"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/tags?post=4801"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}