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    Question

    In the questions given below, there are four statements followed by some conclusions. You have to take the four given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. If 'F@G' means "All F are G", 'F#G' means "Only a few G is F", 'F$G' means "All F can be G". 'F≤G' means "Some G are not F". 'F%G' means "Some F are G", 'F&G' means "No F is G"

    Statements: A’s @ P’s A’s % Y’s T’s # Y’s

    Z’s & A’s Conclusion: I. Y’s $ Z’s II. T’s % P’s III. T’s ≤ Y’s
    A Only conclusion I follows Correct Answer Incorrect Answer
    B Only conclusion III follows Correct Answer Incorrect Answer
    C Only conclusions I and conclusion III follow Correct Answer Incorrect Answer
    D Only conclusion II and conclusion III follow Correct Answer Incorrect Answer
    E Only conclusion I and conclusion II follow Correct Answer Incorrect Answer

    Solution

    Statements: All A’s are P’s Some A’s are Y’s Only a few Y’s is T’s No Z’s is A’s Conclusions: I. All Y’s can be Z’s. II. Some T’s are P’s. III. Some Y’s are not T’s. No Z’s is A’s (E) + Some A’s are Y’s (I) → Some Y’s are nor Z’s (O) → Some Y’s can be Z’s (I).  Hence conclusion I does not follow. Some A’s are Y’s (I) → Conversion →   Some Y’s are A’s (I) + All A’s are P’s (A) → Some Y’s are P’s (I) + Only a few Y’s is T’s (I) → No conclusion. Hence conclusion II does not follow. Only a few Y’s is T’s → Some Y’s are not T’s. Hence conclusion III follows.

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