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    Three Statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with
    Question

    Three Statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
    Statement:
    I: All locks are coins.
    II: Some coins are keys
    III: All keys are cards.
    Conclusion:
    I: Some locks are cards.
    II: Some cards are coins

    A.

    1. Both conclusions I and II follow


    B.

    Neither conclusion I nor II follows

    C.

    Only conclusion I follows

    D.

    Only conclusion II follows

    Correct option is D

    Given:
    Statement:
    I: All locks are coins.
    II: Some coins are keys
    III: All keys are cards.
    From the above statement following Venn diagram will be - 
    Conclusion:
    Conclusion I: Some locks are cards. (False, Keys are fully inside Cards, but there is no direct connection that guarantees that Locks are part of Cards. This conclusion does NOT necessarily follow.)
    Conclusion II: Some cards are coins.(True, Since some coins are keys, and all keys are inside cards, this means that at least some cards will contain coins.)
    Correct answer is (d) Only conclusion II follows

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