{"id":89961,"date":"2025-06-01T10:18:01","date_gmt":"2025-06-01T10:18:01","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=89961"},"modified":"2025-06-01T10:18:01","modified_gmt":"2025-06-01T10:18:01","slug":"premises-all-film-stars-are-playback-singers-all-film-directors-are","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/premises-all-film-stars-are-playback-singers-all-film-directors-are\/","title":{"rendered":"Premises: All film stars are playback singers. All film directors are"},"content":{"rendered":"<p>Premises: All film stars are playback singers. All film directors are film stars.<br \/>\nConclusions:<\/p>\n<ul>\n<li>I. All film directors are playback singers.<\/li>\n<li>II. Some film stars are film directors.<\/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;option3&#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\">\nBoth Conclusion I and Conclusion II follow logically from the given premises.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\nPremise 1: All film stars are playback singers. (FS \u2286 PS)<br \/>\nPremise 2: All film directors are film stars. (FD \u2286 FS)<br \/>\nConclusion I: All film directors are playback singers.<br \/>\nFrom Premise 2, the set of film directors (FD) is a subset of the set of film stars (FS). From Premise 1, the set of film stars (FS) is a subset of the set of playback singers (PS). If A \u2286 B and B \u2286 C, then A \u2286 C. Therefore, FD \u2286 PS. This means all film directors are playback singers. Conclusion I is true.<br \/>\nConclusion II: Some film stars are film directors.<br \/>\nPremise 2 states that all film directors are film stars (FD \u2286 FS). This is a universal affirmative statement (&#8216;All A are B&#8217;). In traditional logic, a universal affirmative statement &#8216;All A are B&#8217; implies the particular affirmative statement &#8216;Some B are A&#8217;, provided that the set A is not empty. Assuming there is at least one film director (which is standard in such problems unless specified otherwise), then there is at least one member in the set FD. Since every member of FD is also in FS, there must be at least one member in FS that is also in FD. Thus, some film stars are film directors. Conclusion II is true.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nThis problem demonstrates the transitivity of the subset relationship (for Conclusion I) and the conversion of a universal affirmative statement (for Conclusion II, assuming existential import). If we strictly adhere to modern formal logic without existential import for universal statements, &#8216;All A are B&#8217; does not necessarily imply &#8216;Some B are A&#8217; if the set A is empty. However, in typical syllogism questions, especially in the context of competitive exams like UPSC, the assumption of existential import for the subject class of universal statements is generally followed unless explicitly negated. Therefore, &#8216;All film directors are film stars&#8217; implies &#8216;Some film stars are film directors&#8217; as long as there exists at least one film director.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Premises: All film stars are playback singers. All film directors are film stars. Conclusions: I. All film directors are playback singers. II. Some film stars are film directors. 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;option3&#8243;] This question was previously asked in &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"Premises: All film stars are playback singers. All film directors are\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/premises-all-film-stars-are-playback-singers-all-film-directors-are\/#more-89961\">Detailed Solution<span class=\"screen-reader-text\">Premises: All film stars are playback singers. All film directors are<\/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-89961","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 film stars are playback singers. All film directors are<\/title>\n<meta name=\"description\" content=\"Both Conclusion I and Conclusion II follow logically from the given premises. Premise 1: All film stars are playback singers. (FS \u2286 PS) Premise 2: All film directors are film stars. (FD \u2286 FS) Conclusion I: All film directors are playback singers. From Premise 2, the set of film directors (FD) is a subset of the set of film stars (FS). From Premise 1, the set of film stars (FS) is a subset of the set of playback singers (PS). If A \u2286 B and B \u2286 C, then A \u2286 C. Therefore, FD \u2286 PS. This means all film directors are playback singers. Conclusion I is true. Conclusion II: Some film stars are film directors. Premise 2 states that all film directors are film stars (FD \u2286 FS). This is a universal affirmative statement (&#039;All A are B&#039;). In traditional logic, a universal affirmative statement &#039;All A are B&#039; implies the particular affirmative statement &#039;Some B are A&#039;, provided that the set A is not empty. Assuming there is at least one film director (which is standard in such problems unless specified otherwise), then there is at least one member in the set FD. Since every member of FD is also in FS, there must be at least one member in FS that is also in FD. Thus, some film stars are film directors. Conclusion II is true.\" \/>\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-film-stars-are-playback-singers-all-film-directors-are\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Premises: All film stars are playback singers. All film directors are\" \/>\n<meta property=\"og:description\" content=\"Both Conclusion I and Conclusion II follow logically from the given premises. Premise 1: All film stars are playback singers. (FS \u2286 PS) Premise 2: All film directors are film stars. (FD \u2286 FS) Conclusion I: All film directors are playback singers. From Premise 2, the set of film directors (FD) is a subset of the set of film stars (FS). From Premise 1, the set of film stars (FS) is a subset of the set of playback singers (PS). If A \u2286 B and B \u2286 C, then A \u2286 C. Therefore, FD \u2286 PS. This means all film directors are playback singers. Conclusion I is true. Conclusion II: Some film stars are film directors. Premise 2 states that all film directors are film stars (FD \u2286 FS). This is a universal affirmative statement (&#039;All A are B&#039;). In traditional logic, a universal affirmative statement &#039;All A are B&#039; implies the particular affirmative statement &#039;Some B are A&#039;, provided that the set A is not empty. Assuming there is at least one film director (which is standard in such problems unless specified otherwise), then there is at least one member in the set FD. Since every member of FD is also in FS, there must be at least one member in FS that is also in FD. Thus, some film stars are film directors. Conclusion II is true.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/premises-all-film-stars-are-playback-singers-all-film-directors-are\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:18:01+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 film stars are playback singers. All film directors are","description":"Both Conclusion I and Conclusion II follow logically from the given premises. Premise 1: All film stars are playback singers. (FS \u2286 PS) Premise 2: All film directors are film stars. (FD \u2286 FS) Conclusion I: All film directors are playback singers. From Premise 2, the set of film directors (FD) is a subset of the set of film stars (FS). From Premise 1, the set of film stars (FS) is a subset of the set of playback singers (PS). If A \u2286 B and B \u2286 C, then A \u2286 C. Therefore, FD \u2286 PS. This means all film directors are playback singers. Conclusion I is true. Conclusion II: Some film stars are film directors. Premise 2 states that all film directors are film stars (FD \u2286 FS). This is a universal affirmative statement ('All A are B'). In traditional logic, a universal affirmative statement 'All A are B' implies the particular affirmative statement 'Some B are A', provided that the set A is not empty. Assuming there is at least one film director (which is standard in such problems unless specified otherwise), then there is at least one member in the set FD. Since every member of FD is also in FS, there must be at least one member in FS that is also in FD. Thus, some film stars are film directors. Conclusion II is true.","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-film-stars-are-playback-singers-all-film-directors-are\/","og_locale":"en_US","og_type":"article","og_title":"Premises: All film stars are playback singers. All film directors are","og_description":"Both Conclusion I and Conclusion II follow logically from the given premises. Premise 1: All film stars are playback singers. (FS \u2286 PS) Premise 2: All film directors are film stars. (FD \u2286 FS) Conclusion I: All film directors are playback singers. From Premise 2, the set of film directors (FD) is a subset of the set of film stars (FS). From Premise 1, the set of film stars (FS) is a subset of the set of playback singers (PS). If A \u2286 B and B \u2286 C, then A \u2286 C. Therefore, FD \u2286 PS. This means all film directors are playback singers. Conclusion I is true. Conclusion II: Some film stars are film directors. Premise 2 states that all film directors are film stars (FD \u2286 FS). This is a universal affirmative statement ('All A are B'). In traditional logic, a universal affirmative statement 'All A are B' implies the particular affirmative statement 'Some B are A', provided that the set A is not empty. Assuming there is at least one film director (which is standard in such problems unless specified otherwise), then there is at least one member in the set FD. Since every member of FD is also in FS, there must be at least one member in FS that is also in FD. Thus, some film stars are film directors. Conclusion II is true.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/premises-all-film-stars-are-playback-singers-all-film-directors-are\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:18:01+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-film-stars-are-playback-singers-all-film-directors-are\/","url":"https:\/\/exam.pscnotes.com\/mcq\/premises-all-film-stars-are-playback-singers-all-film-directors-are\/","name":"Premises: All film stars are playback singers. All film directors are","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T10:18:01+00:00","dateModified":"2025-06-01T10:18:01+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Both Conclusion I and Conclusion II follow logically from the given premises. Premise 1: All film stars are playback singers. (FS \u2286 PS) Premise 2: All film directors are film stars. (FD \u2286 FS) Conclusion I: All film directors are playback singers. From Premise 2, the set of film directors (FD) is a subset of the set of film stars (FS). From Premise 1, the set of film stars (FS) is a subset of the set of playback singers (PS). If A \u2286 B and B \u2286 C, then A \u2286 C. Therefore, FD \u2286 PS. This means all film directors are playback singers. Conclusion I is true. Conclusion II: Some film stars are film directors. Premise 2 states that all film directors are film stars (FD \u2286 FS). This is a universal affirmative statement ('All A are B'). In traditional logic, a universal affirmative statement 'All A are B' implies the particular affirmative statement 'Some B are A', provided that the set A is not empty. Assuming there is at least one film director (which is standard in such problems unless specified otherwise), then there is at least one member in the set FD. Since every member of FD is also in FS, there must be at least one member in FS that is also in FD. Thus, some film stars are film directors. Conclusion II is true.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/premises-all-film-stars-are-playback-singers-all-film-directors-are\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/premises-all-film-stars-are-playback-singers-all-film-directors-are\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/premises-all-film-stars-are-playback-singers-all-film-directors-are\/#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 film stars are playback singers. 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