{"id":45316,"date":"2024-04-15T21:56:17","date_gmt":"2024-04-15T21:56:17","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=45316"},"modified":"2024-04-15T21:56:17","modified_gmt":"2024-04-15T21:56:17","slug":"statements-some-blankets-are-beds-some-pillows-are-blankets-all-beds-are-pillows-conclusions-i-some-blankets-are-pillows-ii-some-pillows-are-beds-iii-some-beds-are-blankets","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/statements-some-blankets-are-beds-some-pillows-are-blankets-all-beds-are-pillows-conclusions-i-some-blankets-are-pillows-ii-some-pillows-are-beds-iii-some-beds-are-blankets\/","title":{"rendered":"Statements : Some blankets are beds. Some pillows are blankets. All beds are pillows. Conclusions : I. Some blankets are pillows. II. Some pillows are beds. III. Some beds are blankets."},"content":{"rendered":"<p>[amp_mcq option1=&#8221;Only either I or II follows&#8221; option2=&#8221;Only I and either II or III follow&#8221; option3=&#8221;Only III and either I or II follow&#8221; option4=&#8221;All I, II and III follow E. None of these&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is: <strong>Only I and either II or III follow<\/strong>.<\/p>\n<p>The first statement, &#8220;Some blankets are beds,&#8221; can be expressed in propositional logic as $B \\subseteq P$. The second statement, &#8220;Some pillows are blankets,&#8221; can be expressed as $P \\subseteq B$. The third statement, &#8220;All beds are pillows,&#8221; can be expressed as $P \\subseteq B$.<\/p>\n<p>The first conclusion, &#8220;Some blankets are pillows,&#8221; is a direct consequence of the first two statements. The second conclusion, &#8220;Some pillows are beds,&#8221; is a direct consequence of the second and third statements. The third conclusion, &#8220;Some beds are blankets,&#8221; is a direct consequence of the third statement.<\/p>\n<p>Therefore, only I and either II or III follow.<\/p>\n<p>Here is a more detailed explanation of each option:<\/p>\n<ul>\n<li><strong>Option A: Only either I or II follows.<\/strong> This option is incorrect because both I and II follow.<\/li>\n<li><strong>Option B: Only I and either II or III follow.<\/strong> This option is correct.<\/li>\n<li><strong>Option C: Only III and either I or II follow.<\/strong> This option is incorrect because I does not follow.<\/li>\n<li><strong>Option D: All I, II and III follow.<\/strong> This option is incorrect because II does not follow.<\/li>\n<li><strong>Option E: None of these.<\/strong> This option is incorrect because I and II follow.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;Only either I or II follows&#8221; option2=&#8221;Only I and either II or III follow&#8221; option3=&#8221;Only III and either I or II follow&#8221; option4=&#8221;All I, II and III follow E. None of these&#8221; correct=&#8221;option1&#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-45316","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 : Some blankets are beds. Some pillows are blankets. All beds are pillows. Conclusions : I. Some blankets are pillows. II. Some pillows are beds. III. Some beds are blankets.<\/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-some-blankets-are-beds-some-pillows-are-blankets-all-beds-are-pillows-conclusions-i-some-blankets-are-pillows-ii-some-pillows-are-beds-iii-some-beds-are-blankets\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Statements : Some blankets are beds. Some pillows are blankets. All beds are pillows. Conclusions : I. Some blankets are pillows. II. Some pillows are beds. III. Some beds are blankets.\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;Only either I or II follows&#8221; option2=&#8221;Only I and either II or III follow&#8221; option3=&#8221;Only III and either I or II follow&#8221; option4=&#8221;All I, II and III follow E. 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Some blankets are pillows. II. Some pillows are beds. III. Some beds are blankets.","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-some-blankets-are-beds-some-pillows-are-blankets-all-beds-are-pillows-conclusions-i-some-blankets-are-pillows-ii-some-pillows-are-beds-iii-some-beds-are-blankets\/","og_locale":"en_US","og_type":"article","og_title":"Statements : Some blankets are beds. Some pillows are blankets. All beds are pillows. Conclusions : I. Some blankets are pillows. II. Some pillows are beds. III. Some beds are blankets.","og_description":"[amp_mcq option1=&#8221;Only either I or II follows&#8221; option2=&#8221;Only I and either II or III follow&#8221; option3=&#8221;Only III and either I or II follow&#8221; option4=&#8221;All I, II and III follow E. None of these&#8221; correct=&#8221;option1&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/statements-some-blankets-are-beds-some-pillows-are-blankets-all-beds-are-pillows-conclusions-i-some-blankets-are-pillows-ii-some-pillows-are-beds-iii-some-beds-are-blankets\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T21:56:17+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/statements-some-blankets-are-beds-some-pillows-are-blankets-all-beds-are-pillows-conclusions-i-some-blankets-are-pillows-ii-some-pillows-are-beds-iii-some-beds-are-blankets\/","url":"https:\/\/exam.pscnotes.com\/mcq\/statements-some-blankets-are-beds-some-pillows-are-blankets-all-beds-are-pillows-conclusions-i-some-blankets-are-pillows-ii-some-pillows-are-beds-iii-some-beds-are-blankets\/","name":"Statements : Some blankets are beds. 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