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      Question

      Statements : Q = R; S ≥ T; P ≤ Q; R > V; R >

      S; T ≥ U Conclusions : (i) R > U (ii) V ≥ U (iii) P = R (iv) P < R In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.
      A Only (i) is true Correct Answer Incorrect Answer
      B Only (ii) is true Correct Answer Incorrect Answer
      C (i) and either (iii) or (iv) are true Correct Answer Incorrect Answer
      D (ii) and either (iii) or (iv) are true Correct Answer Incorrect Answer
      E None of the above is true Correct Answer Incorrect Answer

      Solution

      Given statements: Q = R; S ≥ T; P ≤ Q; R > V; R > S; T ≥ U On combining: P ≤ Q = R > S ≥ T ≥ U ; R > V Conclusions: (i) R > U ,True since R > S ≥ T ≥ U (ii) V ≥ U ,False since either V ≥ U or V < U (iii) P =R ,can be true since P ≤Q=R (iv) P < R, can be true since P ≤Q=R Hence, option 3 is the answer.

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