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Seven persons P, Q, R, S, T, U and V participate in and finish all the events of a series of swimming races. There are no ties at the finish of any of the events. V always finishes somewhere ahead of P. P always finishes somewhere ahead of Q. Either R finishes first and T finishes last or S finishes first and U or Q finishes last. If in a particular race V finished fifth and T finishes before R, then which one of the following would be true?

Seven persons P, Q, R, S, T, U and V participate in and finish all the events of a series of swimming races. There are no ties at the finish of any of the events. V always finishes somewhere ahead of P. P always finishes somewhere ahead of Q. Either R finishes first and T finishes last or S finishes first and U or Q finishes last. If in a particular race V finished fifth and T finishes before R, then which one of the following would be true? Correct Answer S finishes first

For this question,

V always finishes somewhere ahead of P. P always finishes somewhere ahead of Q, order of finishing is-

V > P > Q

Either R finishes first and T finishes last or S finishes first and U or Q finishes last.

Case 1: R >  _ > _ > _ > _ > _ > T or

Case 2: S >  _ > _ > _ > _ > _ > U/Q

If in a particular race V finished fifth and T finishes before R.

Case 1: R > S/U > S/U > V > P > Q > T - this case is eliminated

Case 2.a : S > T > R > V > P > Q > U

Case 2.b : S > T > R  > V > P > U > Q

  • We can see that R cannot finish second or fourth in any case. So, options 2 and 4 are eliminated.
  • Similarly, T does not finish third. Therefore, option 3 gets eliminated.

Here, V is 5th and Q is last but S is 1st to finish the race.

Hence, Option (1) is correct.

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