{"id":57742,"date":"2024-04-16T01:07:16","date_gmt":"2024-04-16T01:07:16","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=57742"},"modified":"2024-04-16T01:07:16","modified_gmt":"2024-04-16T01:07:16","slug":"statements-some-pictures-are-frames-some-frames-are-idols-all-idols-are-curtains-conclusions-i-some-curtains-are-pictures-ii-some-curtains-are-frames-iii-some-idols-are-frames","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/statements-some-pictures-are-frames-some-frames-are-idols-all-idols-are-curtains-conclusions-i-some-curtains-are-pictures-ii-some-curtains-are-frames-iii-some-idols-are-frames\/","title":{"rendered":"Statements : Some pictures are frames. Some frames are idols. All idols are curtains. Conclusions : I. Some curtains are pictures. II. Some curtains are frames. III. Some idols are frames."},"content":{"rendered":"

[amp_mcq option1=”Only I and II follow” option2=”Only II and III follow” option3=”Only I and III follow” option4=”All follow E. None of these” correct=”option1″]<\/p>\n

The correct answer is: Only I and III follow.<\/p>\n

The first statement, “Some pictures are frames,” can be expressed in propositional logic as $p \\subseteq q$. The second statement, “Some frames are idols,” can be expressed as $q \\subseteq r$. The third statement, “All idols are curtains,” can be expressed as $r \\subseteq s$.<\/p>\n

The first conclusion, “Some curtains are pictures,” can be derived from the first and second statements by the rule of transitivity. The second conclusion, “Some curtains are frames,” cannot be derived from the given statements. The third conclusion, “Some idols are frames,” can be derived from the second and third statements by the rule of transitivity.<\/p>\n

Therefore, only the first and third conclusions follow.<\/p>\n

Here is a more detailed explanation of each option:<\/p>\n