Step 1: Basic Structure
Two rows, 4 people each.
Row 1 (facing South): L, M, N, O
Row 2 (facing North): P, Q, R, S
Number positions 1–4 from left to right (our view).
Since Row 1 faces South:
Their left = our right
Their right = our left
Step 2: “Only one person sits between N and M”
So N and M are two seats apart:
Possible: (1,3) or (2,4)
Step 3: “N sits to the immediate left of O”
Since Row 1 faces South,
N’s left = our right.
So O must be immediately to the right (our view) of N.
Thus the pair must look like:
N O (left → right from our view)
Now check possible placements:
If N at 1 → O at 2
If N at 2 → O at 3
If N at 3 → O at 4
But N and M must have one person between them.
If N at 1 → M at 3
If N at 2 → M at 4
Try placing:
Let’s take
N at 2 → O at 3
Then M must be at 4 (one between 2 and 4).
Row 1 becomes:
1 → L
2 → N
3 → O
4 → M
But N must face S (given). We’ll check later.
However check “one between N and M”:
N(2), M(4) → yes.
Good so far.
Step 4: “N faces S”
So Row 2 position 2 = S.
Step 5: “Only one person sits between Q and P”
Possible positions:
(1,3) or (2,4)
Since position 2 already S,
Q & P must be at (1,3).
Step 6: “The one facing P sits second from left”
Row 1 position 2 is N.
So whoever sits at position 2 faces position 2 in Row 2.
Thus P cannot be at 2 (already S).
“The one facing P sits second from left.”
Row 1 position 2 = N
So P must be at position 2.
But position 2 already S
So our earlier placement wrong.
Try correct placement
Let’s instead place:
N at 3 → O at 4
Then M must be at 1 (one between 1 & 3).
Row 1:
1 → M
2 → L
3 → N
4 → O
Check:
One between N(3) & M(1) → yes (L at 2).
Good.
N faces S
So Row 2 position 3 = S.
“Only one person between Q and P”
Possible:
(1,3) or (2,4)
Since 3 is S,
P & Q must be (2,4).
“The one facing P sits second from left”
Row 1 position 2 = L
So L faces P.
Therefore P must be at position 2.
Then Q at position 4.
Row 2 so far:
1 → ?
2 → P
3 → S
4 → Q
Remaining seat (position 1) = R.
Check all conditions
Row 1:
1 M
2 L
3 N
4 O
Row 2:
1 R
2 P
3 S
4 Q
Check:
✔ One between N & M (M–L–N)
✔ One between Q & P (P–S–Q)
✔ N immediate left of O
(Row 1 facing South → left = our right
N at 3, O at 4 → correct ✔)
✔ N faces S (position 3)
✔ The one facing P sits 2nd from left
L at position 2 faces P ✔
✔ O does not face P
O faces Q ✔
Everything satisfied
Final Facing Pairs:
M ↔ R
L ↔ P
N ↔ S
O ↔ Q
Correct Answer:
L and P
