{"id":93428,"date":"2025-06-01T11:50:19","date_gmt":"2025-06-01T11:50:19","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=93428"},"modified":"2025-06-01T11:50:19","modified_gmt":"2025-06-01T11:50:19","slug":"consider-the-following-statements-and-conclusions-statement-i-som","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statements-and-conclusions-statement-i-som\/","title":{"rendered":"Consider the following statements and conclusions:\n  Statement I : Som"},"content":{"rendered":"<p>Consider the following statements and conclusions:<\/p>\n<ul>\n<li>Statement I : Some P are Q.<\/li>\n<li>Statement II : Every R is Q.<\/li>\n<\/ul>\n<p>Conclusion I : Some P are R.<br \/>\nConclusion II : Every R is P.<br \/>\nWhich of the above conclusions can be certainly drawn?<\/p>\n<p>[amp_mcq option1=&#8221;Conclusion I only&#8221; option2=&#8221;Conclusion II only&#8221; option3=&#8221;Both conclusions I and II&#8221; option4=&#8221;Neither conclusion I nor II&#8221; correct=&#8221;option4&#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 CISF-AC-EXE &#8211; 2024<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-cisf-ac-exe-2024.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-cisf-ac-exe-2024\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nBased on the given statements, neither Conclusion I nor Conclusion II can be certainly drawn.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\nStatements:<br \/>\nI: Some P are Q.<br \/>\nII: Every R is Q.<br \/>\nConclusion I: Some P are R.<br \/>\nConclusion II: Every R is P.<br \/>\nStatement II (Every R is Q) means that the set R is a subset of the set Q. Statement I (Some P are Q) means that the set P has at least one element in common with the set Q.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nLet&#8217;s analyze the conclusions:<br \/>\nConclusion I: Some P are R. This means the intersection of sets P and R is not empty.<br \/>\nConclusion II: Every R is P. This means the set R is a subset of the set P.<\/p>\n<p>Consider a scenario where the set P overlaps with Q, but the overlap region is entirely outside R. In this case, &#8220;Some P are Q&#8221; and &#8220;Every R is Q&#8221; hold true, but &#8220;Some P are R&#8221; is false, and &#8220;Every R is P&#8221; is false.<br \/>\nSince there exists a valid interpretation of the statements where both conclusions are false, neither conclusion can be certainly drawn from the given statements.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Consider the following statements and conclusions: Statement I : Some P are Q. Statement II : Every R is Q. Conclusion I : Some P are R. Conclusion II : Every R is P. Which of the above conclusions can be certainly drawn? [amp_mcq option1=&#8221;Conclusion I only&#8221; option2=&#8221;Conclusion II only&#8221; option3=&#8221;Both conclusions I and II&#8221; &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"Consider the following statements and conclusions:\n  Statement I : Som\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statements-and-conclusions-statement-i-som\/#more-93428\">Detailed Solution<span class=\"screen-reader-text\">Consider the following statements and conclusions:<br \/>\n  Statement I : Som<\/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":[1089],"tags":[1103,1102],"class_list":["post-93428","post","type-post","status-publish","format-standard","hentry","category-upsc-cisf-ac-exe","tag-1103","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>Consider the following statements and conclusions:  Statement I : Som<\/title>\n<meta name=\"description\" content=\"Based on the given statements, neither Conclusion I nor Conclusion II can be certainly drawn. Statements: I: Some P are Q. II: Every R is Q. Conclusion I: Some P are R. Conclusion II: Every R is P. Statement II (Every R is Q) means that the set R is a subset of the set Q. Statement I (Some P are Q) means that the set P has at least one element in common with the set Q.\" \/>\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\/consider-the-following-statements-and-conclusions-statement-i-som\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Consider the following statements and conclusions:  Statement I : Som\" \/>\n<meta property=\"og:description\" content=\"Based on the given statements, neither Conclusion I nor Conclusion II can be certainly drawn. Statements: I: Some P are Q. II: Every R is Q. Conclusion I: Some P are R. Conclusion II: Every R is P. Statement II (Every R is Q) means that the set R is a subset of the set Q. Statement I (Some P are Q) means that the set P has at least one element in common with the set Q.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statements-and-conclusions-statement-i-som\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T11:50:19+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=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Consider the following statements and conclusions:  Statement I : Som","description":"Based on the given statements, neither Conclusion I nor Conclusion II can be certainly drawn. Statements: I: Some P are Q. II: Every R is Q. Conclusion I: Some P are R. Conclusion II: Every R is P. Statement II (Every R is Q) means that the set R is a subset of the set Q. Statement I (Some P are Q) means that the set P has at least one element in common with the set Q.","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\/consider-the-following-statements-and-conclusions-statement-i-som\/","og_locale":"en_US","og_type":"article","og_title":"Consider the following statements and conclusions:  Statement I : Som","og_description":"Based on the given statements, neither Conclusion I nor Conclusion II can be certainly drawn. Statements: I: Some P are Q. II: Every R is Q. Conclusion I: Some P are R. Conclusion II: Every R is P. Statement II (Every R is Q) means that the set R is a subset of the set Q. Statement I (Some P are Q) means that the set P has at least one element in common with the set Q.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statements-and-conclusions-statement-i-som\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T11:50:19+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\/consider-the-following-statements-and-conclusions-statement-i-som\/","url":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statements-and-conclusions-statement-i-som\/","name":"Consider the following statements and conclusions: Statement I : Som","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T11:50:19+00:00","dateModified":"2025-06-01T11:50:19+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Based on the given statements, neither Conclusion I nor Conclusion II can be certainly drawn. Statements: I: Some P are Q. II: Every R is Q. Conclusion I: Some P are R. Conclusion II: Every R is P. Statement II (Every R is Q) means that the set R is a subset of the set Q. Statement I (Some P are Q) means that the set P has at least one element in common with the set Q.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statements-and-conclusions-statement-i-som\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statements-and-conclusions-statement-i-som\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/consider-the-following-statements-and-conclusions-statement-i-som\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CISF-AC-EXE","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-cisf-ac-exe\/"},{"@type":"ListItem","position":3,"name":"Consider the following statements and conclusions: Statement I : Som"}]},{"@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\/93428","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=93428"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/93428\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=93428"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=93428"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=93428"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}