{"id":159549,"date":"2023-09-15T14:37:50","date_gmt":"2023-09-15T09:07:50","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=159549"},"modified":"2023-09-15T14:37:51","modified_gmt":"2023-09-15T09:07:51","slug":"each-of-the-letters-arranged-as-below-represents-a-unique-integer-from-1-to-9-the-letters-are-positioned-in-the-figure-such-that","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/each-of-the-letters-arranged-as-below-represents-a-unique-integer-from-1-to-9-the-letters-are-positioned-in-the-figure-such-that\/","title":{"rendered":"Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are positioned in the figure such that"},"content":{"rendered":"\n<p>Q. Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are positioned in the figure such that (A \u00d7 B \u00d7 C), (B \u00d7 G \u00d7 E) and (D \u00d7 E \u00d7 F) are equal. Which integer among the following choices cannot be represented by the letters A, B, C, D, E, F or G?<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>A<\/td><td>&nbsp;<\/td><td>D<\/td><\/tr><tr><td>B<\/td><td>G<\/td><td>E<\/td><\/tr><tr><td>C<\/td><td>&nbsp;<\/td><td>F<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>(A) 4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (B) 5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (C) 6\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (D) 9<\/p>\n\n\n\n<p>Ans: 5<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Among the given options, only 5 is a prime number. <\/p>\n\n\n\n<p>Thus, if any of\u00a0A, B, C, D, E, F or G represents 5, <\/p>\n\n\n\n<p>then (A \u00d7 B \u00d7 C) = (B \u00d7 G \u00d7 E) = (D \u00d7 E \u00d7 F) = multiple of 5. <\/p>\n\n\n\n<p>This would imply at least two letters represent 5, which is not possible due to the unique representation by the letters. <\/p>\n\n\n\n<p>Hence 5 cannot be represented by the letters A, B, C, D, E, F and G.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are positioned in the figure such that (A \u00d7 B \u00d7 C), (B \u00d7 G \u00d7 E) and (D \u00d7 E \u00d7 F) are equal. Which integer among the following choices cannot be represented by the letters [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":159554,"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-159549","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\/159549","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=159549"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/159549\/revisions"}],"predecessor-version":[{"id":159555,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/159549\/revisions\/159555"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/159554"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=159549"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=159549"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=159549"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}