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      Question

      Statements: P @ Q, Q # R, R % S Conclusions: a)

      P # R       b) P @ S In the following questions, the symbols @, #, %, $ and * are used with the following meaning as illustrated below. ‘P @ Q’ means ‘P Is not smaller than Q’ ‘P # Q’ means ‘P is neither smaller than nor equal to Q’ ‘P % Q’ means ‘P is neither smaller than nor greater than Q’   ‘P $ Q’ means ‘P is not greater than Q’   ‘P * Q’ means ‘P is neither greater than nor equal to Q’ Now in each of the following the questions assuming the given statements to be true, find which of the two conclusions a and b given below is/are definitely true?
      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

      P @ Q, Q # R, R % S →P ≥ Q, Q > R, R = S → P ≥ Q > R = S Conclusion a → P # R → P > R The relation between P and R in the statement P ≥ Q > R = S: P > R. So, it is true. Conclusion b → P@ S → P ≥ S The relation between P and S in the statement P ≥ Q > R = S: P > S. So, it is not true. (P > R = S → P > S)

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