Which among the following pair of persons doesn’t sit adjacent to each other? Study the following information carefully and answer the given questions below:
Twelve persons sit in two parallel rows such that six persons sit in each row. In row 1- A, B, C, D, E and F sit and face north direction and in row 2- M, N, O, P, Q and R sit and face south direction. The persons sit in row 1 face the persons sit in row 2 and vice versa.
A sits third to the right of the one who faces Q. Only two persons sit between A and E. Even number of persons sit between Q and M. P sits to the immediate left of M. R sits to the immediate right of M. The one who faces R sits second to the left of D. B and F sit adjacent to each other. B doesn’t face R. N doesn’t sit next to Q.

The correct option is P, R.

Step-by-Step Explanation:

Let's analyze the given information step-by-step to arrange the twelve persons in two parallel rows (6 in each row):
- Row 1 (Facing North): A, B, C, D, E, F
- Row 2 (Facing South): M, N, O, P, Q, R

1. Position of Q, A, and E:
- "A sits third to the right of the one who faces Q."
Since A faces North, right is to the right side of the row.
Let the person facing Q be at position 1. Then A is at position 1 + 3 = 4 from the left in Row 1. This means Q is at position 1 from the left of Row 2 (facing South).
- "Only two persons sit between A and E."
Since A is at position 4, E can be at position 1 (4 - 3 = 1) or position 7 (invalid since there are only 6 seats). So E is at position 1 in Row 1.

2. Position of M, P, R, and N:
- "Even number of persons sit between Q and M."
Q is at position 1. The possible positions for M are position 3 (1 person between - odd), position 4 (2 persons between - even), position 5 (3 persons between - odd), position 6 (4 persons between - even).
- "P sits to the immediate left of M. R sits to the immediate right of M."
Since Row 2 faces South, immediate left of M means to the right side from our perspective (towards position 6), and immediate right of M means to the left side (towards position 1).
So the order in Row 2 must be: R - M - P (from left to right in terms of positions 1 to 6).
If M is at position 4, then R is at position 3 and P is at position 5.
Let's check the distance between Q (position 1) and M (position 4): there are 2 persons (at positions 2 and 3) between Q and M, which is an even number. This fits perfectly!

3. Position of D and remaining Row 2 persons:
- "The one who faces R sits second to the left of D."
R is at position 3 in Row 2, so the person facing R is at position 3 in Row 1.
Since this person (position 3) is second to the left of D (facing North), D must be at position 3 + 2 = 5 in Row 1.
- "N doesn’t sit next to Q."
Q is at position 1. The remaining positions in Row 2 are 2 and 6. Since N cannot sit at position 2 (next to Q), N must sit at position 6.
Therefore, O must sit at position 2.

4. Final arrangement for Row 2:
- Position 1: Q
- Position 2: O
- Position 3: R
- Position 4: M
- Position 5: P
- Position 6: N

5. Completing Row 1:
- "B and F sit adjacent to each other. B doesn’t face R."
R is at position 3, so B cannot be at position 3.
The remaining positions in Row 1 are positions 2, 3, and 6.
Since B and F must sit adjacent to each other, they must occupy positions 2 and 3 or positions 5 and 6 (but 5 is D). Thus, B and F must occupy positions 2 and 3.
Since B cannot be at position 3, B is at position 2, and F is at position 3.
The remaining person C takes position 6.

Final Arrangement:
- Row 2 (Facing South): Q , O , R , M , P , N
- Row 1 (Facing North): E , B , F , A , D , C

Checking the given options for pairs sitting adjacent to each other:
1. Q, O: Q (Pos 1) and O (Pos 2) sit adjacent to each other.
2. P, R: P is at Position 5 and R is at Position 3. M is between them. Thus, P and R do NOT sit adjacent to each other.
3. N, P: P (Pos 5) and N (Pos 6) sit adjacent to each other.
4. E, B: E (Pos 1) and B (Pos 2) sit adjacent to each other.

Therefore, the pair that doesn't sit adjacent to each other is P, R.