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Two statements are given, followed by two conclusions numbered I and II. 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 dancers are students. Some students are singers. Conclusions: I. Some singers are dancers. II. No singer is a dancer.

Two statements are given, followed by two conclusions numbered I and II. 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 dancers are students. Some students are singers. Conclusions: I. Some singers are dancers. II. No singer is a dancer. Correct Answer Either conclusion I or II follows.

Drawing the Venn diagram according to the given statements,

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Conclusion 1: Some singers are dancers → false (Possible but not definite)

Conclusion 2: No singer is a dancer → false (Possible but not definite)

But, both the given conclusions form a Complementary pair.

Hence, Either “conclusion 1 or conclusion 2” follows.

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