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P, Q, R, S, M, O and T are sitting in a line facing North but not necessarily in the same order. P is sitting between R and S. T is to the immediate left of O. There are only two persons between M and S. R is sitting between P and Q. S is to the immediate right of P. What is the position of T with respect to R?

Question

P, Q, R, S, M, O and T are sitting in a line facing North but not necessarily in the same order. P is sitting between R and S. T is to the immediate left of O. There are only two persons between M and S. R is sitting between P and Q. S is to the immediate right of P. What is the position of T with respect to R?

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Solution

To solve this problem, we need to arrange the people according to the given conditions.

  1. P is sitting between R and S. This gives us two possible arrangements: RPS or SPR.

  2. S is to the immediate right of P. This means the arrangement must be RPS.

  3. R is sitting between P and Q. This extends our arrangement to QRPS.

  4. T is to the immediate left of O. This gives us two possible arrangements: TO or OT, but we don't know where this pair fits in yet.

  5. There are only two persons between M and S. This gives us two possible placements for M: either two places to the left of S (which is not possible as Q is already there) or two places to the right. This gives us the arrangement QRPSM.

  6. Now we only have T and O left to place. Since T cannot be to the left of Q and must be to the left of O, the only place for TO is at the end of the line. This gives us the final arrangement: QRPSMTO.

So, the position of T with respect to R is: fourth to the right.

This problem has been solved

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