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    Question

    In these questions, symbols $, *, #, % and @ are used with different meaning as follows: ‘X $ Y’ means ‘X is not smaller than Y.’ ‘X * Y’ means ‘X’ is greater than Y’. ‘X # Y’ means ‘X’ is not greater than Y’. ‘X % Y’ means ‘X’ is smaller than Y’. ‘X @ Y’ means ‘X is neither smaller than nor greater than Y.’   Now in each of the following question assuming the given statements to be true, find which of the conclusions given below them is/are definitely true and give your answer accordingly.

    Statements: P # B, Q $ B, B @ J, J % F

    Conclusions:       I. F # B                   II. F @ B                               III. P # J                IV. Q $ F
    A Only II is true Correct Answer Incorrect Answer
    B If either conclusion I or III and II is true Correct Answer Incorrect Answer
    C Only I is true Correct Answer Incorrect Answer
    D If either conclusion I or IV and III is true. Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    given statements:  P # B, Q $ B, B @ J, J % F After converting: P ≤ B , Q ≥ B, B = J , J < F After combining: P ≤ B ≤ Q ,     B = J < F Conclusion a → F @ B → F = B ( B = J < F ) , it is not true but it will make an either case with conclusion d. Conclusion b → P # J → P ≤ J ( P ≤ B = J ) it is true. Conclusion c → Q $ F → Q ≥ F (Q ≥ B = J < F), No relationship can be established between Q and F so, it is not true.

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