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In the question, three statements are given, followed by four conclusions, I, II, III and IV. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statement I: All mosquitoes are hens. Statement II: No hen is pig. Statement III: No goat is hen. Conclusion I: Some hens are not mosquitoes. Conclusion II: Some goats are not hens. Conclusion III: Some pigs are not mosquitoes. Conclusion IV: Some goats are hens.

In the question, three statements are given, followed by four conclusions, I, II, III and IV. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statement I: All mosquitoes are hens. Statement II: No hen is pig. Statement III: No goat is hen. Conclusion I: Some hens are not mosquitoes. Conclusion II: Some goats are not hens. Conclusion III: Some pigs are not mosquitoes. Conclusion IV: Some goats are hens. Correct Answer Conclusions II and III follow

Statement I: All mosquitoes are hens.

Statement II: No hen is pig.

Statement III: No goat is hen.

The least possible Venn diagram is:

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Conclusion I: Some hens are not mosquitoes → False (It is possible but not definite)

Conclusion II: Some goats are not hens → True (It is definitely true)

Conclusion III: Some pigs are not mosquitoes → True (As all mosquitoes are hens and no hen is a pig.)

Conclusion IV: Some goats are hens → False (It is definitely false)

Hence, conclusions II and III follow.

Related Questions

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Statement:
1. All goats are tigers.
2. All tigers are lions.

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(I) All horses are goats.
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