If the nine-digit number 708x6y8z9 is divisible by 99, then what is the value of x+y+z?<\/p>\n\n\n\n
(a) 9<\/p>\n\n\n\n
(b) 16<\/strong><\/p>\n\n\n\n (c) 5<\/p>\n\n\n\n (d) 27<\/p>\n\n\n\n Sol:<\/p>\n\n\n\n It is given that 708x6y8z9 is divisible by 99.<\/p>\n\n\n\n Thus, 708x6y8z9 is divisible by both 11 and 9<\/p>\n\n\n\n For divisibility by 9, sum of digits is divisible by 9 (7+0+8+x+6+y+8+z+9 = 38+x+y+z. We<\/p>\n\n\n\n get 2 as remainder when 389. Thus, 2+x+y+z must be divisible by 9)<\/p>\n\n\n\n Possible values of (z+y+x) = 7,16,25, etc.<\/p>\n\n\n\n For divisibility by 11, the difference of sum of digits at odd and even place is divisible by<\/p>\n\n\n\n 11 (i.e. in 708x6y8z9 : (9 + 8 + 6 + 8 + 7 ) – (z + y + x + 0) = 38 – ( z + y + x) is divisible by<\/p>\n\n\n\n 11 ) Possible values of (z+y+x) =38,5,16 etc.<\/p>\n","protected":false},"excerpt":{"rendered":" If the nine-digit number 708x6y8z9 is divisible by 99, then what is the value of x+y+z? (a) 9 (b) 16 (c) 5 (d) 27 Sol: It is given that 708x6y8z9 is divisible by 99. Thus, 708x6y8z9 is divisible by both 11 and 9 For divisibility by 9, sum of digits is divisible by 9 (7+0+8+x+6+y+8+z+9 […]<\/p>\n","protected":false},"author":419,"featured_media":165175,"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-165174","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\/165174","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=165174"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165174\/revisions"}],"predecessor-version":[{"id":165176,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165174\/revisions\/165176"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/165175"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=165174"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=165174"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=165174"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}