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      Question

      Statements:  Y $ Z, H $ D, Z * D Conclusions:

           a) Y & H                                b) Y * D 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: Y $ Z, H $ D, Z * D After converting: Y = Z, H = D, Z ≥ D After combining: Y = Z ≥ D = H Conclusion a → Y & H → Y < H The relation between Y and H in the statement Y = Z ≥ D = H : Y < H So, it is not true. Conclusion b → Y ⋆ D → Y ≥ D The relation between Y and D in the statement Y = Z ≥ D = H :  Y ≥ D. So, it is true.

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