Question

    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.

    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

    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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