Question

47.
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,
then which one of the following would be true?
(a) S finishes first
(b) S finishes second
(c) T finishes third
(d) R finishes fourth​

Answer 1

I think S finishes first..

Answer 2

(a)  S finishes first .

Given:

• Seven persons P, Q, R, S T U and V, participants.
• There are no ties at the finish the race.
• P is always finishes ahead of Q.
• R finishes first & T finishes last.
•  S finishes first & U or Q finishes at last.

To Find:

• If  V finished fifth particular race, then which of the given options would be true. ?

Solution:

For the question,

• V is always finish somewhere ahead of the P.

• P is always finishes somewhere ahead of Q, order of the finishing :

                    = >       V  >  P  >  Q

Either the R finish first & T finish at last or S finish first & U or Q finish last.

Then,

• Case 01:  R >  _ > _ > _ > _ > _ > T

 or

• Case 02:  S >  _ > _ > _ > _ > _ > U/Q

If in the particular race V finished fifth & T finished before R.

• Case 01: R > S/U > S/U > V > P > Q > T - this case is eliminated

• Case 02.(i) : S > T > R > V > P > Q > U

• Case 02.(ii) : S > T > R  > V > P > U > Q

We can see that the R can't finish second or the fourth in some case.

So, options 2 & 4 eliminated.

Similarly,

• T doesn't finish third, Therefore, option 3 gets eliminated.

   *  V is 5th & Q is last but S is 1st to finish the race.

Hence, Option (1) is correct.

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