{"id":166989,"date":"2024-04-24T12:36:06","date_gmt":"2024-04-24T07:06:06","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=166989"},"modified":"2024-04-24T12:36:07","modified_gmt":"2024-04-24T07:06:07","slug":"if-ab2bc1-and-ca3-then-find-a3b3c3","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/if-ab2bc1-and-ca3-then-find-a3b3c3\/","title":{"rendered":"If (a+b)=2,(b+c)=1, and (c+a)=3 then find a3+b3+c3"},"content":{"rendered":"\n<p> If (a+b)=2,(b+c)=1, and (c+a)=3 then find a3+b3+c3 ?<\/p>\n\n\n\n<p>(a) 3<\/p>\n\n\n\n<p>(b) 1<\/p>\n\n\n\n<p>(c) 8<\/p>\n\n\n\n<p><strong>(d) 9<\/strong><\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>a + b = 2<\/p>\n\n\n\n<p>b + c = 1<\/p>\n\n\n\n<p>c + a = 3<\/p>\n\n\n\n<p>(a + b + c) = 3<\/p>\n\n\n\n<p>Cube both sides<\/p>\n\n\n\n<p>a\u00b3 + b\u00b3 + c\u00b3 + 3(a + b) (b + c) (c + a) = 27<\/p>\n\n\n\n<p>a\u00b3 + b\u00b3 + c\u00b3 = 27 \u2013 18<\/p>\n\n\n\n<p>= 9<\/p>\n","protected":false},"excerpt":{"rendered":"<p>If (a+b)=2,(b+c)=1, and (c+a)=3 then find a3+b3+c3 ? (a) 3 (b) 1 (c) 8 (d) 9 Sol: a + b = 2 b + c = 1 c + a = 3 (a + b + c) = 3 Cube both sides a\u00b3 + b\u00b3 + c\u00b3 + 3(a + b) (b + c) (c [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":166996,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5138],"tags":[5139],"class_list":["post-166989","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\/166989","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=166989"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166989\/revisions"}],"predecessor-version":[{"id":166997,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166989\/revisions\/166997"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/166996"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=166989"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=166989"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=166989"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}