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      Question

      Answer the questions based on the information given

      below: A $ B means A is neither smaller than nor equal to B. A # B means A is neither greater than nor smaller than B. A @ B means A is not smaller than B. A % B means A is not greater than B A * B means A is neither greater than nor equal to B. In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and then give your answer accordingly. Statements: O % Y; Y # M; M $ Z; W # Z; I @ W; F # I; F % P Conclusions: I. P @ Z II. M $ F III. O % W
      A Only conclusion II is true Correct Answer Incorrect Answer
      B Only conclusion I is true Correct Answer Incorrect Answer
      C Only conclusions and III Correct Answer Incorrect Answer
      D Only conclusions II and III are true Correct Answer Incorrect Answer
      E None of the above conclusion is true Correct Answer Incorrect Answer

      Solution

      After decoding the signs of the given statements, we get O ≤ Y; Y = M; M > Z; W = Z; I ≥ W; F = I; F ≤ P On combining, we get, O ≤ Y = M > Z = W ≤ I = F ≤ P Conclusions: I. P @ Z means P ≥ Z: True (As, Z = W ≤ I = F ≤ P, so, Z ≤ P) II. M $ F means M > F: False (As, M > Z = W ≤ I = F, so, the relation between M and F cannot be determined) III. O % W means O ≤ W: False (As, O ≤ Y = M > Z = W, so, the relation between O and W cannot be determined) Therefore, only conclusion I is true.

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