{"id":160217,"date":"2023-09-22T14:02:05","date_gmt":"2023-09-22T08:32:05","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=160217"},"modified":"2023-09-22T14:02:06","modified_gmt":"2023-09-22T08:32:06","slug":"what-would-be-the-smallest-natural-number-which-when-divided-either-by-20-or-by-42-or-by-76-leaves-a-remainder","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/what-would-be-the-smallest-natural-number-which-when-divided-either-by-20-or-by-42-or-by-76-leaves-a-remainder\/","title":{"rendered":"What would be the smallest natural number which when divided either by 20 or by 42 or by 76 leaves a remainder"},"content":{"rendered":"\n

Q. What <\/span>would <\/span>be <\/span>the <\/span>smallest <\/span>natural <\/span>number <\/span>which <\/span>when <\/span>divided <\/span>either <\/span>by <\/span>20 <\/span>or <\/span>by <\/span>42 <\/span>or <\/span>by <\/span>76 leaves a <\/span>remainder <\/span>of 7 <\/span>in each <\/span>case?<\/span><\/p>\n\n\n\n

(A) 3047<\/td>(B) 6047<\/td>(C) 7987<\/td>(D) 63847<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Ans: 7987<\/p>\n\n\n\n

Sol:<\/p>\n\n\n\n

Number is divided either by 20 or by 42 or by 76<\/p>\n\n\n\n

= K \u00d7 LCM (20, 42, 76) + constant difference<\/p>\n\n\n\n

= 7980 K + 7 ( where K is natural number)<\/p>\n\n\n\n

So, if we put K = 1 then,<\/p>\n\n\n\n

Least number will be 7980 + 7 = 7987<\/p>\n","protected":false},"excerpt":{"rendered":"

Q. What would be the smallest natural number which when divided either by 20 or by 42 or by 76 leaves a remainder of 7 in each case? (A) 3047 (B) 6047 (C) 7987 (D) 63847 Ans: 7987 Sol: Number is divided either by 20 or by 42 or by 76 = K \u00d7 LCM […]<\/p>\n","protected":false},"author":419,"featured_media":160218,"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-160217","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\/160217","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=160217"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/160217\/revisions"}],"predecessor-version":[{"id":160219,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/160217\/revisions\/160219"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/160218"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=160217"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=160217"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=160217"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}