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    Question

    Statements: Q = R; S ≥ T;

    href="https://www.google.co.in/search?biw=1366&bih=631&q=pentatonix+problem&stick=H4sIAAAAAAAAAONgFuLRT9c3LDYwLbNILrRQ4gXxDJPMK8vMyozjtbSyk630c0uLM5P1i1KT84tSMvPS45NzSotLUous8ksyUosUylKLijPz84oBgvqH60sAAAA&sa=X&sqi=2&ved=0ahUKEwiCt_aK5ZHRAhWHro8KHQOVCnMQri4INTAH">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 mark 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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