{"id":53140,"date":"2024-04-15T23:49:40","date_gmt":"2024-04-15T23:49:40","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=53140"},"modified":"2024-04-15T23:49:40","modified_gmt":"2024-04-15T23:49:40","slug":"statements-no-table-is-fruit-no-fruit-is-window-all-windows-are-chairs-conclusions-i-no-window-is-table-ii-no-chair-is-fruit-iii-no-chair-is-table-iv-all-chairs-are-windows","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/statements-no-table-is-fruit-no-fruit-is-window-all-windows-are-chairs-conclusions-i-no-window-is-table-ii-no-chair-is-fruit-iii-no-chair-is-table-iv-all-chairs-are-windows\/","title":{"rendered":"Statements : No table is fruit. No fruit is window. All windows are chairs. Conclusions : I. No window is table. II. No chair is fruit. III. No chair is table. IV. All chairs are windows."},"content":{"rendered":"<p>[amp_mcq option1=&#8221;None follows&#8221; option2=&#8221;Only I and II follow&#8221; option3=&#8221;Only III and IV follow&#8221; option4=&#8221;All follow E. None of these&#8221; correct=&#8221;option2&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{B}}$. Only I and II follow.<\/p>\n<p>The first statement is in the form of &#8220;No A is B&#8221;. This can be logically equivalent to the following statements:<\/p>\n<ul>\n<li>All A are not B.<\/li>\n<li>No B is A.<\/li>\n<\/ul>\n<p>The second statement is also in the form of &#8220;No A is B&#8221;. This can be logically equivalent to the following statements:<\/p>\n<ul>\n<li>All A are not B.<\/li>\n<li>No B is A.<\/li>\n<\/ul>\n<p>The third statement is in the form of &#8220;All C are D&#8221;. This can be logically equivalent to the following statements:<\/p>\n<ul>\n<li>No C is not D.<\/li>\n<li>All D are C.<\/li>\n<\/ul>\n<p>We can use the above equivalences to derive the following conclusions:<\/p>\n<ul>\n<li>No window is table. (From the first statement and the second statement.)<\/li>\n<li>No chair is fruit. (From the first statement and the third statement.)<\/li>\n<\/ul>\n<p>However, we cannot derive the following conclusions:<\/p>\n<ul>\n<li>No chair is table. (This is not necessarily true, since there could be objects that are neither chairs nor tables.)<\/li>\n<li>All chairs are windows. (This is not necessarily true, since there could be objects that are chairs but not windows.)<\/li>\n<\/ul>\n<p>Therefore, the only conclusions that follow from the given statements are I and II.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;None follows&#8221; option2=&#8221;Only I and II follow&#8221; option3=&#8221;Only III and IV follow&#8221; option4=&#8221;All follow E. None of these&#8221; correct=&#8221;option2&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[723],"tags":[],"class_list":["post-53140","post","type-post","status-publish","format-standard","hentry","category-logical-deduction","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Statements : No table is fruit. No fruit is window. All windows are chairs. Conclusions : I. No window is table. II. No chair is fruit. III. No chair is table. IV. All chairs are windows.<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/statements-no-table-is-fruit-no-fruit-is-window-all-windows-are-chairs-conclusions-i-no-window-is-table-ii-no-chair-is-fruit-iii-no-chair-is-table-iv-all-chairs-are-windows\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Statements : No table is fruit. No fruit is window. All windows are chairs. Conclusions : I. No window is table. II. No chair is fruit. III. No chair is table. IV. All chairs are windows.\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;None follows&#8221; option2=&#8221;Only I and II follow&#8221; option3=&#8221;Only III and IV follow&#8221; option4=&#8221;All follow E. 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II. No chair is fruit. III. No chair is table. IV. All chairs are windows.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/statements-no-table-is-fruit-no-fruit-is-window-all-windows-are-chairs-conclusions-i-no-window-is-table-ii-no-chair-is-fruit-iii-no-chair-is-table-iv-all-chairs-are-windows\/","og_locale":"en_US","og_type":"article","og_title":"Statements : No table is fruit. No fruit is window. All windows are chairs. Conclusions : I. No window is table. II. No chair is fruit. III. No chair is table. IV. All chairs are windows.","og_description":"[amp_mcq option1=&#8221;None follows&#8221; option2=&#8221;Only I and II follow&#8221; option3=&#8221;Only III and IV follow&#8221; option4=&#8221;All follow E. 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