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Three statements are given, followed by four conclusions numbered I, II, III and IV. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some yellow are pink. Some pink are blue. All yellow are red. Conclusions: I. Some red are pink. II. Some pink are yellow. III. Some blue is yellow. IV. Some red is blue.

Three statements are given, followed by four conclusions numbered I, II, III and IV. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some yellow are pink. Some pink are blue. All yellow are red. Conclusions: I. Some red are pink. II. Some pink are yellow. III. Some blue is yellow. IV. Some red is blue. Correct Answer Only conclusions I and II follow

The least possible Venn diagram is:

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I. Some red are pink → True (As some yellow are pink and all yellow are red. Thus, some red are pink)

II. Some pink are yellow → True (As some yellow are pink. Thus, some pink are yellow)

III. Some blue is yellow → False (It is possible but not definite)

IV. Some red is blue → False (It is possible but not definite)

Hence, ‘Only conclusions I and II follow’ is the correct answer.

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