{"id":224517,"date":"2025-06-03T07:23:28","date_gmt":"2025-06-03T07:23:28","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=224517"},"modified":"2025-06-03T07:23:31","modified_gmt":"2025-06-03T07:23:31","slug":"assume-the-first-two-statements-are-true","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/03\/assume-the-first-two-statements-are-true\/","title":{"rendered":"Assume the first two statements are true"},"content":{"rendered":"\n

Assume the first two statements are true. Is the final statement: 1) True, 2) False, or 3) Uncertain based on the information provided? Harry is older than Shane. Shane is older than Teresa. Teresa is younger than Harry. N True<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Correct Answer: 1) True<\/strong><\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

Let\u2019s analyze the three statements:<\/p>\n\n\n\n

    \n
  1. Harry is older than Shane.<\/strong>
    \u2192 H>SH > S<\/li>\n\n\n\n
  2. Shane is older than Teresa.<\/strong>
    \u2192 S>TS > T<\/li>\n<\/ol>\n\n\n\n

    From these two statements, we can infer:<\/p>\n\n\n\n

      \n
    • H>S>TH > S > T, which implies Harry is older than Shane, and Shane is older than Teresa<\/strong>.<\/li>\n\n\n\n
    • Therefore, Harry is also older than Teresa<\/strong>.<\/li>\n<\/ul>\n\n\n\n
        \n
      1. Teresa is younger than Harry.<\/strong>
        \u2192 T<HT < H<\/li>\n<\/ol>\n\n\n\n

        This final statement is exactly the same as the logical conclusion we just made from statements 1 and 2.<\/p>\n\n\n\n

        So, the third statement must be true<\/strong> based on the first two. It directly follows from the transitive property of inequality:<\/p>\n\n\n\n

        \n

        If A>BA > B and B>CB > C, then A>CA > C.<\/p>\n<\/blockquote>\n\n\n\n

        In our case:<\/p>\n\n\n\n

          \n
        • H>SH > S and S>TS > T, so H>TH > T or T<HT < H, which is exactly what the final statement says.<\/li>\n<\/ul>\n\n\n\n

          Why the Answer is True<\/strong><\/h3>\n\n\n\n
            \n
          • There is no ambiguity<\/strong> or missing information<\/strong>.<\/li>\n\n\n\n
          • The conclusion is a direct inference<\/strong> from the earlier facts.<\/li>\n\n\n\n
          • All individuals are being compared on a linear scale<\/strong> (age), which is a transitive and well-ordered property.<\/li>\n<\/ul>\n\n\n\n

            Common Misinterpretations (and Why They\u2019re Wrong)<\/h3>\n\n\n\n

            Some might mistakenly see the final statement as a new or unrelated fact, but it’s not. It’s a restatement of what logically follows. Also, the presence of multiple names might make the relationships seem more complex than they are, but clear step-by-step logic resolves it.<\/p>\n\n\n\n

            Summary<\/h3>\n\n\n\n

            Since the third statement (Teresa is younger than Harry) logically follows from the first two, it is definitely true<\/strong>.<\/p>\n\n\n\n

            Answer: 1) True<\/strong> \u2705<\/p>\n\n\n\n

            \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

            Assume the first two statements are true. Is the final statement: 1) True, 2) False, or 3) Uncertain based on the information provided? Harry is older than Shane. Shane is older than Teresa. Teresa is younger than Harry. N True The Correct Answer and Explanation is: Correct Answer: 1) True Explanation: Let\u2019s analyze the three […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-224517","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/224517","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=224517"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/224517\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=224517"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=224517"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=224517"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}