{"id":89962,"date":"2025-06-01T10:18:02","date_gmt":"2025-06-01T10:18:02","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=89962"},"modified":"2025-06-01T10:18:02","modified_gmt":"2025-06-01T10:18:02","slug":"premises-all-apples-are-golden-in-colour-no-golden-coloured-things-a","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/premises-all-apples-are-golden-in-colour-no-golden-coloured-things-a\/","title":{"rendered":"Premises: All apples are golden in colour. No golden coloured things a"},"content":{"rendered":"<p>Premises: All apples are golden in colour. No golden coloured things are cheap.<br \/>\nConclusions:<\/p>\n<ul>\n<li>I. All apples are cheap.<\/li>\n<li>II. Golden coloured apples are not cheap.<\/li>\n<\/ul>\n<p>Which of the following conclusions follow logically?<\/p>\n<p>[amp_mcq option1=&#8221;Only I&#8221; option2=&#8221;Only II&#8221; option3=&#8221;Both I and II&#8221; option4=&#8221;Neither I nor II&#8221; correct=&#8221;option2&#8243;]<\/p>\n<div class=\"psc-box-pyq-exam-year-detail\">\n<div class=\"pyq-exam\">\n<div class=\"psc-heading\">This question was previously asked in<\/div>\n<div class=\"psc-title line-ellipsis\">UPSC CAPF &#8211; 2015<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-capf-2015.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-capf-2015\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nThe correct conclusion that follows logically is &#8220;Golden coloured apples are not cheap.&#8221;<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\nThe premises are: (1) All apples are golden in colour. (2) No golden coloured things are cheap.<br \/>\nFrom premise (1), we know that the set of apples is a subset of golden coloured things. From premise (2), we know that the set of golden coloured things and the set of cheap things have no overlap.<br \/>\nCombining these, since all apples are golden coloured, and no golden coloured things are cheap, it follows that no apples are cheap.<br \/>\nConclusion I states: &#8220;All apples are cheap.&#8221; This is directly contradicted by the logical consequence of the premises (&#8220;No apples are cheap&#8221;). Thus, Conclusion I does not follow.<br \/>\nConclusion II states: &#8220;Golden coloured apples are not cheap.&#8221; Apples that are golden coloured are, by definition, golden coloured things. According to premise (2), no golden coloured things are cheap. Therefore, golden coloured apples are not cheap. This conclusion follows directly from the premises.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nThis is a syllogistic reasoning problem. Representing the sets: A = Apples, G = Golden coloured things, C = Cheap things.<br \/>\nPremise 1: All A are G.<br \/>\nPremise 2: No G are C. This implies No C are G, and if something is G, it is not C.<br \/>\nConclusion I: All A are C. (False)<br \/>\nConclusion II: Apples that are G are not C. Since all A are G, this is equivalent to saying A are not C. From &#8220;All A are G&#8221; and &#8220;No G are C&#8221;, we deduce &#8220;No A are C&#8221; (which means A are not C). Therefore, Conclusion II follows.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Premises: All apples are golden in colour. No golden coloured things are cheap. Conclusions: I. All apples are cheap. II. Golden coloured apples are not cheap. Which of the following conclusions follow logically? [amp_mcq option1=&#8221;Only I&#8221; option2=&#8221;Only II&#8221; option3=&#8221;Both I and II&#8221; option4=&#8221;Neither I nor II&#8221; correct=&#8221;option2&#8243;] This question was previously asked in UPSC CAPF &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"Premises: All apples are golden in colour. No golden coloured things a\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/premises-all-apples-are-golden-in-colour-no-golden-coloured-things-a\/#more-89962\">Detailed Solution<span class=\"screen-reader-text\">Premises: All apples are golden in colour. No golden coloured things a<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1085],"tags":[1443,1102],"class_list":["post-89962","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1443","tag-quantitative-aptitude-and-reasoning","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>Premises: All apples are golden in colour. No golden coloured things a<\/title>\n<meta name=\"description\" content=\"The correct conclusion that follows logically is &quot;Golden coloured apples are not cheap.&quot; The premises are: (1) All apples are golden in colour. (2) No golden coloured things are cheap. From premise (1), we know that the set of apples is a subset of golden coloured things. From premise (2), we know that the set of golden coloured things and the set of cheap things have no overlap. Combining these, since all apples are golden coloured, and no golden coloured things are cheap, it follows that no apples are cheap. Conclusion I states: &quot;All apples are cheap.&quot; This is directly contradicted by the logical consequence of the premises (&quot;No apples are cheap&quot;). Thus, Conclusion I does not follow. Conclusion II states: &quot;Golden coloured apples are not cheap.&quot; Apples that are golden coloured are, by definition, golden coloured things. According to premise (2), no golden coloured things are cheap. Therefore, golden coloured apples are not cheap. This conclusion follows directly from the premises.\" \/>\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\/premises-all-apples-are-golden-in-colour-no-golden-coloured-things-a\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Premises: All apples are golden in colour. No golden coloured things a\" \/>\n<meta property=\"og:description\" content=\"The correct conclusion that follows logically is &quot;Golden coloured apples are not cheap.&quot; The premises are: (1) All apples are golden in colour. (2) No golden coloured things are cheap. From premise (1), we know that the set of apples is a subset of golden coloured things. From premise (2), we know that the set of golden coloured things and the set of cheap things have no overlap. Combining these, since all apples are golden coloured, and no golden coloured things are cheap, it follows that no apples are cheap. Conclusion I states: &quot;All apples are cheap.&quot; This is directly contradicted by the logical consequence of the premises (&quot;No apples are cheap&quot;). Thus, Conclusion I does not follow. Conclusion II states: &quot;Golden coloured apples are not cheap.&quot; Apples that are golden coloured are, by definition, golden coloured things. According to premise (2), no golden coloured things are cheap. Therefore, golden coloured apples are not cheap. This conclusion follows directly from the premises.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/premises-all-apples-are-golden-in-colour-no-golden-coloured-things-a\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:18:02+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Premises: All apples are golden in colour. No golden coloured things a","description":"The correct conclusion that follows logically is \"Golden coloured apples are not cheap.\" The premises are: (1) All apples are golden in colour. (2) No golden coloured things are cheap. From premise (1), we know that the set of apples is a subset of golden coloured things. From premise (2), we know that the set of golden coloured things and the set of cheap things have no overlap. Combining these, since all apples are golden coloured, and no golden coloured things are cheap, it follows that no apples are cheap. Conclusion I states: \"All apples are cheap.\" This is directly contradicted by the logical consequence of the premises (\"No apples are cheap\"). Thus, Conclusion I does not follow. Conclusion II states: \"Golden coloured apples are not cheap.\" Apples that are golden coloured are, by definition, golden coloured things. According to premise (2), no golden coloured things are cheap. Therefore, golden coloured apples are not cheap. This conclusion follows directly from the premises.","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\/premises-all-apples-are-golden-in-colour-no-golden-coloured-things-a\/","og_locale":"en_US","og_type":"article","og_title":"Premises: All apples are golden in colour. No golden coloured things a","og_description":"The correct conclusion that follows logically is \"Golden coloured apples are not cheap.\" The premises are: (1) All apples are golden in colour. (2) No golden coloured things are cheap. From premise (1), we know that the set of apples is a subset of golden coloured things. From premise (2), we know that the set of golden coloured things and the set of cheap things have no overlap. Combining these, since all apples are golden coloured, and no golden coloured things are cheap, it follows that no apples are cheap. Conclusion I states: \"All apples are cheap.\" This is directly contradicted by the logical consequence of the premises (\"No apples are cheap\"). Thus, Conclusion I does not follow. Conclusion II states: \"Golden coloured apples are not cheap.\" Apples that are golden coloured are, by definition, golden coloured things. According to premise (2), no golden coloured things are cheap. Therefore, golden coloured apples are not cheap. This conclusion follows directly from the premises.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/premises-all-apples-are-golden-in-colour-no-golden-coloured-things-a\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:18:02+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/premises-all-apples-are-golden-in-colour-no-golden-coloured-things-a\/","url":"https:\/\/exam.pscnotes.com\/mcq\/premises-all-apples-are-golden-in-colour-no-golden-coloured-things-a\/","name":"Premises: All apples are golden in colour. No golden coloured things a","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T10:18:02+00:00","dateModified":"2025-06-01T10:18:02+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct conclusion that follows logically is \"Golden coloured apples are not cheap.\" The premises are: (1) All apples are golden in colour. (2) No golden coloured things are cheap. From premise (1), we know that the set of apples is a subset of golden coloured things. From premise (2), we know that the set of golden coloured things and the set of cheap things have no overlap. Combining these, since all apples are golden coloured, and no golden coloured things are cheap, it follows that no apples are cheap. Conclusion I states: \"All apples are cheap.\" This is directly contradicted by the logical consequence of the premises (\"No apples are cheap\"). Thus, Conclusion I does not follow. Conclusion II states: \"Golden coloured apples are not cheap.\" Apples that are golden coloured are, by definition, golden coloured things. According to premise (2), no golden coloured things are cheap. Therefore, golden coloured apples are not cheap. This conclusion follows directly from the premises.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/premises-all-apples-are-golden-in-colour-no-golden-coloured-things-a\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/premises-all-apples-are-golden-in-colour-no-golden-coloured-things-a\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/premises-all-apples-are-golden-in-colour-no-golden-coloured-things-a\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CAPF","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-capf\/"},{"@type":"ListItem","position":3,"name":"Premises: All apples are golden in colour. No golden coloured things a"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/89962","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=89962"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/89962\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=89962"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=89962"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=89962"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}