Directions: Read the given information carefully and answer the question below.

Six executives – P, Q, R, S, T and U sit in a row facing north, but not necessarily in the same order. Each of them scored a different number of points in an assessment, between 10 and 50. Only two persons sit between P and the one who scored 25 points, and neither of them sits at the extreme ends of the row. The number of persons sitting to the right of P is one more than the number of persons sitting to the left of Q. U, who sits adjacent to Q, sits second to the left of the person who scored 5 points less than U. R sits to the immediate right of T, who scored a perfect square number of points. P scored 12 points less than R, who scored 15 points more than T. S scored a prime number of points, which is 7 points more than the person sitting two places away from R.

What is the position of P with respect to R?

The correct option is Fourth to the left.

Step-by-Step Explanation:

Let the six positions from left to right facing North be designated as positions 1, 2, 3, 4, 5, and 6.

1. Position of P and the 25-point scorer:
Two persons sit between P and the person who scored 25 points, and neither sits at the extreme ends (positions 1 and 6). Therefore, P and the 25-point scorer must occupy positions 2 and 5.

2. Position of Q:
The number of persons sitting to the right of P is one more than the number of persons sitting to the left of Q.
If P is at position 2, there are 4 persons to P's right. The number of persons to the left of Q must be:

$4-1=3$

This places Q at position 4. Consequently, the person who scored 25 points sits at position 5.

3. Placement of U, T, R, and S:
• U sits adjacent to Q (at position 4) and second to the left of the person who scored 5 points less than U. Thus, U sits at position 3, and the person at position 5 (two places to the right of U) scored 5 points less than U.
Since the person at position 5 scored 25 points, U's score is:

$25+5=30\text{points}$

• R sits to the immediate right of T (forming the pair [T, R]). The only available adjacent positions are 5 and 6. Hence, T is at position 5 and R is at position 6.
Since T is at position 5, T scored 25 points, which is a perfect square ($5^2=25$).
• S sits at the remaining seat at position 1.

Final Seating Order (from Position 1 to Position 6):
Position 1: S
Position 2: P
Position 3: U (30 points)
Position 4: Q
Position 5: T (25 points)
Position 6: R

4. Position of P with respect to R:
R is at position 6 and P is at position 2.
Counting towards the left from R (position 6):
Position 5 is 1st to the left,
Position 4 is 2nd to the left,
Position 3 is 3rd to the left,
Position 2 (P) is 4th to the left.

Therefore, P is Fourth to the left of R.