Eight boxes M, N, O, P, Q, R, S and T are kept one above the other, such that the bottommost box is numbered as 1, the box above it is numbered as 2 and so on. How many boxes are kept between P and S?
Statement I: M is four boxes above R. M is a prime numbered box. There are only three boxes between P and Q. P is above M. S is immediately above N.
Statement II: At least five boxes are kept between T and Q. Q is immediately above R. Only two boxes are kept between T and M. M is above N but not immediately above N.
Statement III: N is a prime numbered box below fourth box. Only three boxes are kept between N and O. S is kept three boxes below O. S is kept adjacent to M, which is above Q.
From statement I and II together, we get: So, there is only one box between P and S. From statement II and III together, we get:
So, there is only one box between P and S. From statement I and III together, we get:
So, there is only one box between P and S. Therefore, data given in any two statements together is sufficient to answer the question.
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