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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: E & F, H # I, G $ F, E % D, G @ H

    Conclusions:     I . D $ F                  II. F @ I                 III. I & G
    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: E & F, H # I, G $ F, E % D, G @ H After converting: E > F, H = I, G ≥ F, E ≤ D, G < H After combining: D ≥ E > F ≤ G < H = I Conclusion a → D $ F → D ≥ F: D ≥ E and E > F → D > F so It is not true. Conclusion b → F @ I → F < I: F ≤ G, G < H and H = I → F < I so, it is true.    Conclusion c → I & G → I > G:  I = H, and H > G → I > G so, it is true.

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