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    Question

    In the following questions, the symbols $, %, &, @ and # are used with the following meaning as illustrated below. A $ B means A is not smaller than B, A % B means A is not greater than B, A & B means A is neither smaller nor equal to B, A @ B means A is neither greater nor equal to B, A # B means A is neither smaller than nor greater than B.

    Statements: Z % Y; X # W; U % V; W & V; Y @ X

    Conclusions:     

    I. U @ X                               

    II. W & Z               

    III. V # Y

    A If only conclusion I is true Correct Answer Incorrect Answer
    B If both conclusions I and II are true Correct Answer Incorrect Answer
    C If both conclusions II and III are true Correct Answer Incorrect Answer
    D If only II is true Correct Answer Incorrect Answer
    E If both conclusions I and III are true Correct Answer Incorrect Answer

    Solution

    given statements: Z % Y; X # W; U % V; W & V; Y @ X After converting: Z ≤ Y , X = W, U ≤ V, W > V, Y < X After combining: Z ≤ Y < X = W > V ≥ U Conclusion a → U @ X → U < X (U ≤ V, V < W and W = X → U < X) so it is true. Conclusion b → W & Z → W > Z (W = X, X > Y and Y ≥ Z → W > Z) so, it is true.   Conclusion c → V # Y → V = Y   There is no relation between V and Y in the statement Z ≤ Y < X = W > V ≥ U so, it is not true.

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