{"id":77,"date":"2025-05-28T01:58:54","date_gmt":"2025-05-28T01:58:54","guid":{"rendered":"http:\/\/sh114.global.temp.domains\/~mathsutr\/lrdicat\/?p=77"},"modified":"2025-05-28T04:14:33","modified_gmt":"2025-05-28T04:14:33","slug":"d1ex1q16-2","status":"publish","type":"post","link":"http:\/\/sh114.global.temp.domains\/~mathsutr\/lrdicat\/d1ex1q16-2\/","title":{"rendered":"Day 1 &#8211; Ex 1 &#8211; Q 16"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Q. 16\/16<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A king has unflinching loyalty from eight of his ministers M1 to M8, but he has to select only four to make a cabinet committee. He decides to choose these four such that each selected person shares a liking with at least one of the other three selected. The selected persons must also hate at least one of the likings of any of the other three persons selected.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">M1 likes fishing and smoking, but hates gambling.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">M2 likes smoking and drinking, but hates fishing.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">M3 likes gambling, but hates smoking,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">M4 likes mountaineering, but hates drinking,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">M5 likes drinking, but hates smoking and mountaineering.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">M6 likes fishing, but hates smoking and mountaineering.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">M7 likes gambling and mountaineering, but hates fishing.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">M8 likes smoking and gambling, but hates mountaineering.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Who are the four people selected by the king?<\/p>\n\n\n\n<ol style=\"list-style-type:upper-alpha\" class=\"wp-block-list\">\n<li class=\"\">M1, M2, M5 and M6<\/li>\n\n\n\n<li class=\"\">M3, M4, M5 and M6<\/li>\n\n\n\n<li class=\"\">M4, M5, M6 and M8<\/li>\n\n\n\n<li class=\"\">M1, M2, M4 and M7<\/li>\n<\/ol>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>Hint<\/summary>\n<p class=\"wp-block-paragraph\">Coming Soon<\/p>\n<\/details>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>Answer<\/summary>\n<p class=\"wp-block-paragraph\">Coming Soon<\/p>\n<\/details>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>Explanation<\/summary>\n<p class=\"wp-block-paragraph\">Coming Soon<\/p>\n<\/details>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">That&#8217;s it for Day 1. Tomorrow we will solve 3 sets from recent CATs, which will give you an idea of the toughness level asked these years.<\/p>\n\n\n\n<nav class=\"wp-block-group alignwide is-content-justification-space-between is-nowrap is-layout-flex wp-container-core-group-is-layout-878fe601 wp-block-group-is-layout-flex\" aria-label=\"Post navigation\" style=\"border-top-color:var(--wp--preset--color--accent-6);border-top-width:1px;padding-top:var(--wp--preset--spacing--40);padding-bottom:var(--wp--preset--spacing--40)\">\n\n<\/nav>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. 16\/16 A king has unflinching loyalty from eight of his ministers M1 to M8, but he has to select only four to make a cabinet committee. He decides to choose these four such that each selected person shares a liking with at least one of the other three selected. The selected persons must also [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[8],"tags":[9],"class_list":["post-77","post","type-post","status-publish","format-standard","hentry","category-easy-lod","tag-pyq-cat"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Day 1 - Ex 1 - Q 16 - LRDI Prep for CAT<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/sh114.global.temp.domains\/~mathsutr\/lrdicat\/d1ex1q16-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Day 1 - Ex 1 - Q 16 - LRDI Prep for CAT\" \/>\n<meta property=\"og:description\" content=\"Q. 16\/16 A king has unflinching loyalty from eight of his ministers M1 to M8, but he has to select only four to make a cabinet committee. 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