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Question

In each question below, there are some statements followed by three conclusions numbered I, II and III. You have to take the 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 follow(s) from the given statements.

Statement

Only a few Pumpkins are Apples

All Apples are Oranges

No Orange is a Pear

Conclusion

I. Some Pears are not apples

II. All Pumpkins can be Oranges

III. No Pumpkin is a Pear

A Both II and III follow Correct Answer Incorrect Answer
B Only I follow Correct Answer Incorrect Answer
C Both I and II follow Correct Answer Incorrect Answer
D Only II follows Correct Answer Incorrect Answer
E Both I and III follow Correct Answer Incorrect Answer

Solution

All Apples are Oranges (A) + No Orange is a Pear (E) → No Apple is a Pear (E) → Conversion → Some Pears are not apples (O). Hence conclusion I follows. Some Pumpkins are Apple (I) + All Apples are Oranges (A) → Some Pumpkins are Oranges (I) → Probable conclusion → All Pumpkins can be Oranges (A). Hence conclusion II follows Some Pumpkins are Apples (I) + All Apples are Orange (A) → Some Pumpkins are Oranges (I) + No Orange is a Pear (E) → Some Pumpkins are not pears (O). Hence conclusion III does not follow.

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