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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 chilies are potatoes. Some potatoes are onions. Conclusions: I. Some onions are chilies. II. Some onions are potatoes. III. No onion is chilly.

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 chilies are potatoes. Some potatoes are onions. Conclusions: I. Some onions are chilies. II. Some onions are potatoes. III. No onion is chilly. Correct Answer Conclusion II and either conclusion I or III follow

The least possible Venn diagram is as follows:

Conclusions:

I - Some onions are chilies → False (it is possible but not definite)

II - Some onions are potatoes → True (some potatoes are onions)

III - No onion is chilly → False (it is possible but not definite)

Here, conclusions I and III form a complementary pair.

Hence, conclusion II and either conclusion I or III follow.

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