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    Question

    In the following questions, the symbols @, ^, %, # and ! used with the following meaning as illustrated below: ‘T ^ U’ means ‘T is not smaller than U’ ‘T@U’ means ‘T is neither smaller than nor equal to U’ ‘T # U’ means ‘T is neither greater than nor equal to U’ ‘T % U means “T is neither greater than nor smaller than T’ ‘T ! U’ means ‘T is not greater than U’ Now, in each of the following questions assuming the given statements to be true, find which of the four conclusions I, II, III and IV is/are definitely true and give your answer accordingly.

    Statements:   X ^ A, A @ T, T ! M, M # B

    >Conclusions:        I. T # B                 II. X ^ M                III. A @ B           IV. X @ T
    A Only I and II are true Correct Answer Incorrect Answer
    B Only I is true Correct Answer Incorrect Answer
    C Only III and IV are true Correct Answer Incorrect Answer
    D Only III is true Correct Answer Incorrect Answer
    E Only I and IV is true Correct Answer Incorrect Answer

    Solution

    Decoded Statement: X ≥ A, A > T, T ≤ M, M < B Decoded conclusion:  I. T < B                       II. X ≥ M                               III. A > B                               IV. X > T X ≥ A > T ≤ M < B                               B > T. Hence conclusion I is true. X ≥ A > T ≤ M < B              No relationship can be established between X and M. Hence conclusion II is not true. X ≥ A > T ≤ M < B              No relationship can be established between A and B. Hence conclusion III is not true. X ≥ A > T ≤ M < B              X > T. Hence conclusion IV is true.

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