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Question

In each question below are given three statements followed by three conclusions numbered I, II and III. You have to take the three given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Statement : All sparrows are peacocks.

No eagle is a sparrow.

No cow is peacock.

Conclusion : I. No sparrow is a cow.

II. No sparrow is an eagle.

III. At least some peacocks are not eagles.

A I, II and III follow Correct Answer Incorrect Answer
B Only II and III follows Correct Answer Incorrect Answer
C Only III follows Correct Answer Incorrect Answer
D None follows Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

All sparrows are peacocks (A) + No cow is peacock⇒ Conversion ⇒ No peacock is a cow (E) ⇒ No sparrow is a cow.(E) . Hence conclusion I follows. No eagle is a sparrow (E) ⇒ Conversion ⇒ No sparrow is an eagle(E). Hence conclusion II follows. No eagle is a sparrow (E) + All sparrows are peacocks (A) ⇒ Some peacocks are not eagles (O*). Hence conclusion III follows.

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