{"id":89407,"date":"2025-06-01T10:03:55","date_gmt":"2025-06-01T10:03:55","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=89407"},"modified":"2025-06-01T10:03:55","modified_gmt":"2025-06-01T10:03:55","slug":"if-we-know-that-some-utensils-are-not-microwave-safe-is-true-it-fol","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-we-know-that-some-utensils-are-not-microwave-safe-is-true-it-fol\/","title":{"rendered":"If we know that ‘some utensils are not microwave-safe’ is true, it fol"},"content":{"rendered":"

If we know that ‘some utensils are not microwave-safe’ is true, it follows that<\/p>\n

[amp_mcq option1=”‘some utensils are microwave-safe’ may be also true” option2=”‘no utensils are microwave-safe’ must be true” option3=”‘no utensils are microwave-safe’ must be false” option4=”‘if anything is a utensil, it must be microwave-safe’ must be true” correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CAPF – 2011<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nIf ‘some utensils are not microwave-safe’ is true, it follows that ‘some utensils are microwave-safe’ may be also true.
\n<\/section>\n
\nThe premise ‘Some utensils are not microwave-safe’ is an ‘O’ proposition in categorical logic. The statement ‘Some utensils are microwave-safe’ is an ‘I’ proposition. According to the traditional square of opposition, ‘O’ and ‘I’ propositions are subcontraries, meaning they cannot both be false, but they can both be true. If the ‘O’ proposition (‘Some utensils are not microwave-safe’) is true, the ‘I’ proposition (‘Some utensils are microwave-safe’) is not necessarily true (e.g., if *all* utensils are not microwave-safe, then ‘some are not’ is true and ‘some are’ is false). However, the ‘I’ proposition is also not necessarily false; it is perfectly possible for some utensils to be microwave-safe while others are not. Therefore, the statement “‘some utensils are microwave-safe’ may be also true” accurately reflects this possibility which is consistent with the premise.
\n<\/section>\n
\nOptions B and C concern the statement ‘no utensils are microwave-safe’ (‘E’ proposition). If ‘some utensils are not microwave-safe’ (‘O’) is true, ‘no utensils are microwave-safe’ (‘E’) *can* be true (if all utensils are not microwave-safe) but it doesn’t *have* to be true. So neither ‘must be true’ nor ‘must be false’ applies to ‘E’. Option D, ‘if anything is a utensil, it must be microwave-safe’ (‘A’ proposition), is the contradictory of ‘some utensils are not microwave-safe’ (‘O’). If ‘O’ is true, ‘A’ must be false. So D is contradicted, not followed. Option A is the only statement describing a possibility that is consistent with and thus ‘follows’ from the premise in the sense that the possibility exists.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

If we know that ‘some utensils are not microwave-safe’ is true, it follows that [amp_mcq option1=”‘some utensils are microwave-safe’ may be also true” option2=”‘no utensils are microwave-safe’ must be true” option3=”‘no utensils are microwave-safe’ must be false” option4=”‘if anything is a utensil, it must be microwave-safe’ must be true” correct=”option1″] This question was previously asked … <\/p>\n

Detailed SolutionIf we know that ‘some utensils are not microwave-safe’ is true, it fol<\/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":[1465,1102],"class_list":["post-89407","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1465","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\nIf we know that 'some utensils are not microwave-safe' is true, it fol<\/title>\n<meta name=\"description\" content=\"If 'some utensils are not microwave-safe' is true, it follows that 'some utensils are microwave-safe' may be also true. The premise 'Some utensils are not microwave-safe' is an 'O' proposition in categorical logic. The statement 'Some utensils are microwave-safe' is an 'I' proposition. According to the traditional square of opposition, 'O' and 'I' propositions are subcontraries, meaning they cannot both be false, but they can both be true. If the 'O' proposition ('Some utensils are not microwave-safe') is true, the 'I' proposition ('Some utensils are microwave-safe') is not necessarily true (e.g., if *all* utensils are not microwave-safe, then 'some are not' is true and 'some are' is false). However, the 'I' proposition is also not necessarily false; it is perfectly possible for some utensils to be microwave-safe while others are not. Therefore, the statement "'some utensils are microwave-safe' may be also true" accurately reflects this possibility which is consistent with the premise.\" \/>\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\/if-we-know-that-some-utensils-are-not-microwave-safe-is-true-it-fol\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If we know that 'some utensils are not microwave-safe' is true, it fol\" \/>\n<meta property=\"og:description\" content=\"If 'some utensils are not microwave-safe' is true, it follows that 'some utensils are microwave-safe' may be also true. The premise 'Some utensils are not microwave-safe' is an 'O' proposition in categorical logic. The statement 'Some utensils are microwave-safe' is an 'I' proposition. According to the traditional square of opposition, 'O' and 'I' propositions are subcontraries, meaning they cannot both be false, but they can both be true. If the 'O' proposition ('Some utensils are not microwave-safe') is true, the 'I' proposition ('Some utensils are microwave-safe') is not necessarily true (e.g., if *all* utensils are not microwave-safe, then 'some are not' is true and 'some are' is false). However, the 'I' proposition is also not necessarily false; it is perfectly possible for some utensils to be microwave-safe while others are not. Therefore, the statement "'some utensils are microwave-safe' may be also true" accurately reflects this possibility which is consistent with the premise.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/if-we-know-that-some-utensils-are-not-microwave-safe-is-true-it-fol\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:03:55+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":"If we know that 'some utensils are not microwave-safe' is true, it fol","description":"If 'some utensils are not microwave-safe' is true, it follows that 'some utensils are microwave-safe' may be also true. The premise 'Some utensils are not microwave-safe' is an 'O' proposition in categorical logic. The statement 'Some utensils are microwave-safe' is an 'I' proposition. According to the traditional square of opposition, 'O' and 'I' propositions are subcontraries, meaning they cannot both be false, but they can both be true. If the 'O' proposition ('Some utensils are not microwave-safe') is true, the 'I' proposition ('Some utensils are microwave-safe') is not necessarily true (e.g., if *all* utensils are not microwave-safe, then 'some are not' is true and 'some are' is false). However, the 'I' proposition is also not necessarily false; it is perfectly possible for some utensils to be microwave-safe while others are not. Therefore, the statement \"'some utensils are microwave-safe' may be also true\" accurately reflects this possibility which is consistent with the premise.","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\/if-we-know-that-some-utensils-are-not-microwave-safe-is-true-it-fol\/","og_locale":"en_US","og_type":"article","og_title":"If we know that 'some utensils are not microwave-safe' is true, it fol","og_description":"If 'some utensils are not microwave-safe' is true, it follows that 'some utensils are microwave-safe' may be also true. The premise 'Some utensils are not microwave-safe' is an 'O' proposition in categorical logic. The statement 'Some utensils are microwave-safe' is an 'I' proposition. According to the traditional square of opposition, 'O' and 'I' propositions are subcontraries, meaning they cannot both be false, but they can both be true. If the 'O' proposition ('Some utensils are not microwave-safe') is true, the 'I' proposition ('Some utensils are microwave-safe') is not necessarily true (e.g., if *all* utensils are not microwave-safe, then 'some are not' is true and 'some are' is false). However, the 'I' proposition is also not necessarily false; it is perfectly possible for some utensils to be microwave-safe while others are not. Therefore, the statement \"'some utensils are microwave-safe' may be also true\" accurately reflects this possibility which is consistent with the premise.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/if-we-know-that-some-utensils-are-not-microwave-safe-is-true-it-fol\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:03:55+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\/if-we-know-that-some-utensils-are-not-microwave-safe-is-true-it-fol\/","url":"https:\/\/exam.pscnotes.com\/mcq\/if-we-know-that-some-utensils-are-not-microwave-safe-is-true-it-fol\/","name":"If we know that 'some utensils are not microwave-safe' is true, it fol","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T10:03:55+00:00","dateModified":"2025-06-01T10:03:55+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"If 'some utensils are not microwave-safe' is true, it follows that 'some utensils are microwave-safe' may be also true. The premise 'Some utensils are not microwave-safe' is an 'O' proposition in categorical logic. The statement 'Some utensils are microwave-safe' is an 'I' proposition. According to the traditional square of opposition, 'O' and 'I' propositions are subcontraries, meaning they cannot both be false, but they can both be true. If the 'O' proposition ('Some utensils are not microwave-safe') is true, the 'I' proposition ('Some utensils are microwave-safe') is not necessarily true (e.g., if *all* utensils are not microwave-safe, then 'some are not' is true and 'some are' is false). However, the 'I' proposition is also not necessarily false; it is perfectly possible for some utensils to be microwave-safe while others are not. Therefore, the statement \"'some utensils are microwave-safe' may be also true\" accurately reflects this possibility which is consistent with the premise.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/if-we-know-that-some-utensils-are-not-microwave-safe-is-true-it-fol\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/if-we-know-that-some-utensils-are-not-microwave-safe-is-true-it-fol\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/if-we-know-that-some-utensils-are-not-microwave-safe-is-true-it-fol\/#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":"If we know that ‘some utensils are not microwave-safe’ is true, it fol"}]},{"@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\/89407","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=89407"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/89407\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=89407"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=89407"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=89407"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}