Analyze the details provided below and answer the question that follows.

Eight individuals P, Q, R, T, U, V, X, and Y are seated in a single straight row, with some facing north and others facing south. No more than two adjacent individuals face the same direction.

Y is positioned at the extreme right end of the row and faces north. X sits to the immediate left of Y. P is seated at the extreme left end of the row, and exactly three individuals sit between P and U. V sits fourth to the right of Q, who faces north. R sits adjacent to both Q and T. X and V face in opposite directions. P and Q face the same direction, while T and U face opposite directions. R and T face the same direction, and V faces south.

The number of individuals sitting between R and Y is $\frac{4}{3}$ of the number of individuals sitting between ___ and ___.

Correct Option: P, U

Let's analyze the seating arrangement step-by-step for the 8 individuals: P, Q, R, T, U, V, X, and Y in a single straight row (positions 1 to 8 from left to right).

Step 1: Determine positions of individuals

1. P is at the extreme left end: P is at position 1.
2. Y is at the extreme right end and faces north: Y is at position 8.
3. X sits to the immediate left of Y: Since Y is at position 8, X must be at position 7.
4. Exactly three individuals sit between P and U: Since P is at position 1, U must be at position 5 (positions 2, 3, 4 are between them).
Current positions: [1: P, 2: _, 3: _, 4: _, 5: U, 6: _, 7: X, 8: Y]

5. V sits fourth to the right of Q, who faces north:
Since Q faces north, "right" means moving towards higher position numbers (to the right).
If Q is at position 2, fourth to the right of Q is position 2 + 4 = 6. So, V is at position 6.
Let's check available positions for Q and V: positions 2, 3, 4, 6 are open. Positions 2 and 6 fit perfectly (2 + 4 = 6).
Thus, Q is at position 2 and V is at position 6.
Current positions: [1: P, 2: Q, 3: _, 4: _, 5: U, 6: V, 7: X, 8: Y]

6. R sits adjacent to both Q and T:
Q is at position 2. For R to be adjacent to Q and T, R must be between Q and T.
Since Q is at position 2, R must be at position 3, and T must be at position 4.
Complete seating order from 1 to 8: P, Q, R, T, U, V, X, Y

Step 2: Calculate the required ratio/number of individuals

We are asked to find the pair such that:

$\text{Number of individuals between R and Y}=\frac{4}{3}\times \text{(Number of individuals between \_\_\_ and \_\_\_)}$

Let's find the number of individuals sitting between R (position 3) and Y (position 8):
The individuals between R (pos 3) and Y (pos 8) are at positions 4, 5, 6, 7 (which are T, U, V, X).
So, the number of individuals between R and Y is 4.

Now we set up the equation:

$4=\frac{4}{3}\times \text{N}$

$\text{N}=3$

We need to find a pair among the options that has exactly 3 individuals sitting between them:

1. P (pos 1) and U (pos 5): The individuals between them are at positions 2, 3, 4 (Q, R, T). Total = 3 individuals.
2. V (pos 6) and Y (pos 8): 1 individual (X).
3. P (pos 1) and T (pos 4): 2 individuals (Q, R).
4. Q (pos 2) and T (pos 4): 1 individual (R).

Therefore, the number of individuals between R and Y (4) is $\frac{4}{3}$ of the number of individuals sitting between P and U (3).