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Two statements are given, followed by three conclusions numbered I, II and III. 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 shoes are black. Some heels are shoes. Conclusions: I. Some black are shoes. II. Some heels are black. III. No heels are black.

Two statements are given, followed by three conclusions numbered I, II and III. 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 shoes are black. Some heels are shoes. Conclusions: I. Some black are shoes. II. Some heels are black. III. No heels are black. Correct Answer Conclusion I and either conclusion II or III follow

The least possible Venn diagram is:

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I. Some black are shoes → True (as some shoes are black)

II. Some heels are black → False (it is possible but not definite)

III. No heels are black → False (it is possible but not definite)

∵ Conclusion II and III are complementary to each other, one of them will be true

Hence, ‘Conclusion I and either conclusion II or III follow’ is the correct answer.

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