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.
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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