Study the following information carefully and answer the question below-
Eight persons P, Q, R, S, T, U, V, W are standing in a straight line facing north. No two persons sit together according to the alphabetical order. Each of them are standing at certain distance from each other which is multiple of 3. The distance between P and V is sum of the distance between Q and T and distance between T and W. The distance between V and Q is twice of the distance between S and P. The sum of the distance between W and R and R and U is equal to the distance between T and W. Only two people are there between P and T. Four persons sit between S and W. S is at the end. Both R and U are immediate neighbours and one of them is at the end. Not More than three persons are there between R and V. The distance between Q and T is the least even multiple of 3. The distance between T and W is square of distance between Q and T. Total distance between P and W is 102. The distance between R and U is more than V and Q. No two persons sitting together are at equal distance from the other two sitting together and also the distance between R and W is odd number. The least distance between two persons should be more than 3. U is not in the left of Q.
What is the position of U with respect to T?

Options

A. Immediate left
B. Third to the left
C. Second to the right
D. Third to the right

Answer

D

Explanation

Four persons sit between S and W. S is at the end. Both R and U are immediate neighbours and one of them is at the end. Only two people are there between P and T. Not More than three persons are there between Rand V. No two person.s sit together according to the alphabetical order. So, from this there will be two possible cases-

U is not in the left of Q. So, case-2 will be eliminated. The distance between Q and Tis the least even multiple of 3 which is 6. The distance between T and W is square of distance between Q and T i.e. 36. The distance between P and V is sum of the distance between Q and T and distance between T and W. So, clearly distance between P and V is 42. Total distance between P and W is 102. So, the distance between V and is 18. The distance between V and Q is twice of the distance between Sand P so it will be 9.

The distance between R and U is more than V and Q. No two persons sitting together are at equal distance from the other two sitting together and also the distance between R and W is odd number. The least distance between two persons should be more than 3. So, from the given conditions we get that the distance between R and W is 15 and R and U is 21. So, the final arrangement is-