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Question

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

Statements:

All pineapple are peach.

All peach are cherry.

All cherry are papaya.

Conclusions:

I. All cherry are pineapple.

II. All papaya may be pineapple.

A If both conclusions I and II follow Correct Answer Incorrect Answer
B If neither conclusion I nor II follows Correct Answer Incorrect Answer
C If either conclusion I or II follows Correct Answer Incorrect Answer
D If only conclusion II follows. Correct Answer Incorrect Answer

Solution

All pineapple are peach (A) + All peach are cherry(A) = All pineapple are cherry(A) ⇒    Conversion ⇒   Some cherry are pineapple(I). Hence, conclusion I will not follow. All pineapple are peach(A) + All peach are cherry(A) = All pineapple are cherry(A) + All cherry are papaya(A) = All pineapple are papaya (A) ⇒    Conversion ⇒   Some papaya are pineapple(I) ⇒    Probable conclusion ⇒ All papaya may be pineapple(A). Hence, conclusion II will follow.

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