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    Question

    The question given below consists of two statements numbered I, and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statement and answer the question. 

    There are eight persons P, Q, R, S, T, U, V and W with different heights. Who is third shortest person?

    Statement I: P is shorter than only two persons. T is just shorter than V. Q is taller than P.

      Statement II: U is taller than R. Q is shorter than S. T is just taller than U. W is not taller than V.

    A Data given in statement, I alone is sufficient to answer the question. Correct Answer Incorrect Answer
    B Data given in statement II alone is sufficient to answer the question. Correct Answer Incorrect Answer
    C Data given in either statement I or statement II alone is sufficient to answer the question. Correct Answer Incorrect Answer
    D Data given in both statement I and statement II together are sufficient to answer the question. Correct Answer Incorrect Answer

    Solution

    From Statement I alone: P is shorter than two persons. T is just shorter than V. Q is taller than P. We get many cases as we cannot fix the places of T and V. Case I: Q > __ > P > __ > __ > __ > __ > __ Case II: __ > Q > P > __ > __ > __ > __ > __ From Statement II alone: U is taller than R. Q is shorter than S. T is just taller than U. W is not taller than V. We get many cases as we cannot fix their positions. T > U > R , S > Q and V > W After combining statement I and II, we get: S > Q > P > V > T > U > R/W > W/R So, U is the third shortest person. Therefore, data given in both statement I and statement II together are sufficient to answer the question.

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