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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: P % Q, P $ R, Q # S, R @ T

    Conclusions: I. R $ Q                      II. S & T                 III. P % S
    A If only conclusion I is true Correct Answer Incorrect Answer
    B If only conclusion II is true Correct Answer Incorrect Answer
    C If both conclusions I and II are true Correct Answer Incorrect Answer
    D If only III is true Correct Answer Incorrect Answer
    E If both conclusions II and III are true Correct Answer Incorrect Answer

    Solution

    given statements: P % Q, P $ R, Q # S, R @ T After converting: P ≤ Q, P ≥ R, Q = S , R < T After combining: T > R ≤ P ≤ Q = S Conclusion a → R $ Q → R ≥ Q , It cannot be true as T > R ≤ P ≤ Q = S. As Q ≥ R so, it is not true.   Conclusion b → S & T → S > T There is no relation between S and T in the statement T > R ≤ P ≤ Q = S. So, it is not true. Conclusion c → P % S → P ≤ S It is true in the statement T > R ≤ P ≤ Q = S. So, it is true.

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