{"id":164380,"date":"2024-03-14T14:34:11","date_gmt":"2024-03-14T09:04:11","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=164380"},"modified":"2024-03-14T14:34:13","modified_gmt":"2024-03-14T09:04:13","slug":"the-number-79825x42y3-is-divisible-by-99-what-is-the-geometric-mean-x-and-y","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-number-79825x42y3-is-divisible-by-99-what-is-the-geometric-mean-x-and-y\/","title":{"rendered":"The number 79825x42y3 is divisible by 99. What is the geometric mean x and y"},"content":{"rendered":"\n<p><strong><\/strong>The number 79825x42y3 is divisible by 99. What is the geometric mean x and y?<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong><\/strong><strong>2<\/strong><\/li>\n\n\n\n<li>3<\/li>\n\n\n\n<li>2<strong>\u221a<\/strong>2<\/li>\n\n\n\n<li>2<strong>\u221a<\/strong>3<\/li>\n<\/ol>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>(24+y) \u2013 ( 16 + x ) \u2192 divisible by 11<\/p>\n\n\n\n<p>(8 + y \u2013 x)<\/p>\n\n\n\n<p>\u21d2 y \u2013 x = 3 or -8<\/p>\n\n\n\n<p>(40 + x + y) \u2192 divisible by 9<\/p>\n\n\n\n<p>\u21d2 x + y = 5 or 14<\/p>\n\n\n\n<p>Taking y \u2013 x = 3 and x + y = 5<\/p>\n\n\n\n<p>&nbsp;Y = 4 and x = 1<\/p>\n\n\n\n<p>\u21d2 Geometric mean =<strong>\u221a<\/strong>xy=2<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The number 79825x42y3 is divisible by 99. What is the geometric mean x and y? Sol: (24+y) \u2013 ( 16 + x ) \u2192 divisible by 11 (8 + y \u2013 x) \u21d2 y \u2013 x = 3 or -8 (40 + x + y) \u2192 divisible by 9 \u21d2 x + y = 5 [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":164381,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5138],"tags":[5139],"offerexpiration":[],"class_list":["post-164380","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164380","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=164380"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164380\/revisions"}],"predecessor-version":[{"id":164382,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164380\/revisions\/164382"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/164381"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=164380"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=164380"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=164380"},{"taxonomy":"offerexpiration","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/offerexpiration?post=164380"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}