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    Three statements are given followed by two conclusions I and II. Assuming the statements to be true decide which of the conclusions is/are definitely
    Question

    Three statements are given followed by two conclusions I and II. Assuming the statements to be true decide which of the conclusions is/are definitely true.
    Statements :
    1. M > Q
    2. P ≥ M
    3. N ≤ M
    Conclusions:
    I. Q = N
    II. Q < P

    A.

    Only conclusion I is true.

    B.

    Only conclusion II is true.

    C.

    Both conclusions I and II are true.

    D.

    Neither conclusion I nor II is true.

    Correct option is B

    Given statements:
    M > Q
    P ≥ M
    N ≤ M
    Conclusions:
    I. Q = N
    From (1) M > Q and (3) N ≤ M,
    we can only say: Q < M and N ≤ M.
    There is no direct relation between Q and N —
    N could be equal to M or less than M, while Q is less than M.
    So, Q could be less than, equal to, or greater than N depending on exact values.
    Conclusion I is not definitely true.
    II. Q < P
    From (1) M > Q and (2) P ≥ M,
    we can combine: P ≥ M > Q => P > Q (definitely).
    Conclusion II is definitely true.
    Correct answer (b) Only conclusion II is true.

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