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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:  M ! N, N ^ O, O # N, N @ P

    Conclusions:       I. M @ N     II. N ^ M        III. O ! P                   IV. S % N
    A None is true Correct Answer Incorrect Answer
    B Either I or II is true Correct Answer Incorrect Answer
    C Only II is true Correct Answer Incorrect Answer
    D Only III is true Correct Answer Incorrect Answer
    E Only IV is true Correct Answer Incorrect Answer

    Solution

    Decoded Statement: M ≤ N, N ≥ O, O < N, N > P  Decoded conclusion:  I. M > N                    II. N ≥ M                               III. O ≤ P                               IV. S = N M ≤ N ≥ O < S > P                             M ≤ N. Hence conclusion I is not true. M ≤ N ≥ O < S > P                              M ≤ N. Hence conclusion II is true. M ≤ N ≥ O < S > P                             No relationship can be established between O and P. Hence conclusion III is not true. M ≤ N ≥ O < S > P             No relationship can be established between S and N. Hence conclusion IV is not true.

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