{"id":160781,"date":"2023-10-03T14:24:04","date_gmt":"2023-10-03T08:54:04","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=160781"},"modified":"2023-10-03T14:24:05","modified_gmt":"2023-10-03T08:54:05","slug":"given-that-%f0%9d%91%8e-and-%f0%9d%91%8f-are-integers-and-%f0%9d%91%8e-%f0%9d%91%8e2-%f0%9d%91%8f3-is-odd-which-one-of-the-following-statements-is-correct","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/given-that-%f0%9d%91%8e-and-%f0%9d%91%8f-are-integers-and-%f0%9d%91%8e-%f0%9d%91%8e2-%f0%9d%91%8f3-is-odd-which-one-of-the-following-statements-is-correct\/","title":{"rendered":"Given that \ud835\udc4e and \ud835\udc4f are integers and \ud835\udc4e + \ud835\udc4e2 \ud835\udc4f3 is odd, which one of the following statements is correct"},"content":{"rendered":"\n<p>Q. Given that \ud835\udc4e and \ud835\udc4f are integers and \ud835\udc4e + \ud835\udc4e<sup>2<\/sup> \ud835\udc4f<sup>3<\/sup> is odd, which one of the following statements is correct?<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>(A) \ud835\udc4e and \ud835\udc4f are both odd<\/td><td>(B) \ud835\udc4e and \ud835\udc4f are both even<\/td><\/tr><tr><td>(C) \ud835\udc4e is even and \ud835\udc4f is odd<\/td><td>(D) \ud835\udc4e is odd and \ud835\udc4f is even<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Ans: a is odd and b is even<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Given (a + a2b3) is odd <\/p>\n\n\n\n<p>\u21d2 a (1 + ab3) is odd <\/p>\n\n\n\n<p>As the multiplication of two numbers is odd only when those two numbers are odd. <\/p>\n\n\n\n<p>That means \u2018a\u2019 is odd and (1 + ab3) is also odd <\/p>\n\n\n\n<p>\u21d2 ab3 is even <\/p>\n\n\n\n<p>As \u2018a\u2019 is an odd number, b3 should be even number to get ab3 as even. <\/p>\n\n\n\n<p>b3 is even only when b is even. <\/p>\n\n\n\n<p>Therefore, \u2018a\u2019 is odd and \u2018b\u2019 is even.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. Given that \ud835\udc4e and \ud835\udc4f are integers and \ud835\udc4e + \ud835\udc4e2 \ud835\udc4f3 is odd, which one of the following statements is correct? (A) \ud835\udc4e and \ud835\udc4f are both odd (B) \ud835\udc4e and \ud835\udc4f are both even (C) \ud835\udc4e is even and \ud835\udc4f is odd (D) \ud835\udc4e is odd and \ud835\udc4f is even Ans: a [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":160782,"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":[5141],"tags":[5140],"class_list":["post-160781","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/160781","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=160781"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/160781\/revisions"}],"predecessor-version":[{"id":160783,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/160781\/revisions\/160783"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/160782"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=160781"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=160781"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=160781"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}