{"id":165500,"date":"2024-03-27T15:05:04","date_gmt":"2024-03-27T09:35:04","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=165500"},"modified":"2024-03-27T15:05:06","modified_gmt":"2024-03-27T09:35:06","slug":"2321-is-exactly-divisible-by-a-certain-number-then-which-of-the-following-is-also-divisible-by-the-same-number","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/2321-is-exactly-divisible-by-a-certain-number-then-which-of-the-following-is-also-divisible-by-the-same-number\/","title":{"rendered":"(232+1) is exactly divisible by a certain number, then which of the following is also divisible by the same number"},"content":{"rendered":"\n<p> <p class=\"MsoNormal\">(2<sup>32<\/sup>+1) is exactly divisible by a certain number, then which of the following is also divisible by the same number<\/p> <p class=\"MsoNormal\"><b>a) 2<sup>96<\/sup>+1<\/b><\/p> <p class=\"MsoNormal\">b) 2<sup>16<\/sup>+1<\/p> <p class=\"MsoNormal\">c) 2<sup>16<\/sup>-1<\/p> <p class=\"MsoNormal\">d) 7 \u00d72<sup>32<\/sup><\/p> <p class=\"MsoNormal\">Sol:<\/p> <\/p>\n\n\n\n<p>2\u2079\u2076 + 1<\/p>\n\n\n\n<p>= (2\u00b3\u00b2) + (1)\u00b3 = (2\u00b3\u00b2 + 1) (2\u2076\u2074 + 1 + 2\u00b3\u00b2)<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"109\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-275-1024x109.png\" alt=\"\" class=\"wp-image-165501\" style=\"width:240px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-275-1024x109.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-275-300x32.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-275-768x82.png 768w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-275-1536x164.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-275-2048x219.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-275-1404x150.png 1404w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-275-100x11.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-275-788x84.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-275.png 234w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>(232+1) is exactly divisible by a certain number, then which of the following is also divisible by the same number a) 296+1 b) 216+1 c) 216-1 d) 7 \u00d7232 Sol: 2\u2079\u2076 + 1 = (2\u00b3\u00b2) + (1)\u00b3 = (2\u00b3\u00b2 + 1) (2\u2076\u2074 + 1 + 2\u00b3\u00b2)<\/p>\n","protected":false},"author":419,"featured_media":165502,"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-165500","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\/165500","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=165500"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165500\/revisions"}],"predecessor-version":[{"id":165503,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165500\/revisions\/165503"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/165502"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=165500"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=165500"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=165500"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}