{"id":166416,"date":"2024-04-05T15:02:21","date_gmt":"2024-04-05T09:32:21","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=166416"},"modified":"2024-04-05T15:02:22","modified_gmt":"2024-04-05T09:32:22","slug":"how-many-natural-numbers-up-to-2001-are-divisible-by-34-but-not-by-5","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/how-many-natural-numbers-up-to-2001-are-divisible-by-34-but-not-by-5\/","title":{"rendered":"How many natural numbers up to 2001 are divisible by 3,4 but not by 5"},"content":{"rendered":"\n<p>How many natural numbers up to 2001 are divisible by 3,4 but not by 5?<\/p>\n\n\n\n<p>a) 768<\/p>\n\n\n\n<p><strong>b) 801<\/strong><\/p>\n\n\n\n<p>c) 934<\/p>\n\n\n\n<p>d) 1067<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Divisible by 3 till 2001 = 667<\/p>\n\n\n\n<p>Divisible by 4 till 2001 = 500<\/p>\n\n\n\n<p>Divisible by 12 till 2001 = 166 \u21d2 Divisible by 3, 4 = 667 + 500 \u2013 166 = 1001<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"451\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-126-1024x451.png\" alt=\"\" class=\"wp-image-166417\" style=\"width:280px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-126-1024x451.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-126-300x132.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-126-767x338.png 767w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-126-1536x677.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-126-2048x902.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-126-340x150.png 340w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-126-100x44.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-126-794x350.png 794w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-126-788x347.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-126.png 345w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>How many natural numbers up to 2001 are divisible by 3,4 but not by 5? a) 768 b) 801 c) 934 d) 1067 Sol: Divisible by 3 till 2001 = 667 Divisible by 4 till 2001 = 500 Divisible by 12 till 2001 = 166 \u21d2 Divisible by 3, 4 = 667 + 500 \u2013 [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":166418,"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-166416","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\/166416","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=166416"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166416\/revisions"}],"predecessor-version":[{"id":166419,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166416\/revisions\/166419"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/166418"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=166416"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=166416"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=166416"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}