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      Question

      Statements:  P * R, M & N, R $ M

      Conclusions:      a) P @ M              b) P $ M In the following questions, the symbols @, #, %, $ and * are used with the following meaning as illustrated below. A * B means A is either equal to or greater than B. A $ B means A is equal to B. A # B means A is either equal to or smaller than B. A & B means A is smaller than B. A @ B means A is greater than B.
      A If only conclusion a is answer Correct Answer Incorrect Answer
      B If only conclusion b is answer Correct Answer Incorrect Answer
      C If either conclusion a or b is answer Correct Answer Incorrect Answer
      D If neither conclusion a nor b is answer Correct Answer Incorrect Answer
      E If both conclusions a and b are true Correct Answer Incorrect Answer

      Solution

      given statements: P * R, M & N, R $ M After converting: P ≥ R, M < N, R = M After combining: P ≥ R = M < N Conclusion a → P @ M → P > M The relation between P and M in the statement P ≥ R = M < N : P > M As the relation between P and M is P ≥ M . So, it can be true. Conclusion b → P $ M → P = M The relation between P and M in the statement P ≥ R = M < N : P ≥ M. So, it can be true.

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