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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 two 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 three given statements, disregarding commonly known facts.   Statements:               All apples are bananas. All pears are bananas. All bananas are papayas. Conclusions:            I. All apples are papayas. II. All pears are papayas. III. Some papayas are apples.
    A None follows Correct Answer Incorrect Answer
    B Only I and II follow Correct Answer Incorrect Answer
    C Only II and III follow Correct Answer Incorrect Answer
    D All follows. Correct Answer Incorrect Answer

    Solution

    All apples are bananas. (A) + All bananas are papayas(A) = All apples are papayas(A). Hence, conclusion I will follow. All pears are bananas (A) + All bananas are papayas(A) =  All pears are papayas. Hence, conclusion II will also follow. All apples are papayas(A) ⇒ conversion ⇒ Some papayas are apple (I). Hence, conclusion III will also follow.

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