Eight persons – P, Q, R, S, T, U, V and W sit around a circular table facing the center but not necessarily in the same order.
S sits second to the right of U. Q sits adjacent to U. Only one person sits between S and W. T does not sit adjacent to W. T sits to the immediate left of P. R sits two persons away from P.
What is the position of P with respect to U?
Correct Answer :
Immediate left
Solution :
The correct answer is Immediate left.
Step-by-Step Explanation:
Let us analyze the given information step-by-step to determine the seating arrangement of eight persons (P, Q, R, S, T, U, V, and W) sitting around a circular table facing the center.
Step 1: Position of S, U, and W
Since all eight persons face the center, clockwise direction corresponds to the left and counter-clockwise direction corresponds to the right (or vice-versa, keeping direction consistent).
1. S sits second to the right of U:
If we fix U at position 1 (let's say bottom position, facing up), then moving 2 places to the right puts S at position 3.
2. Only one person sits between S and W:
From S (position 3), W can be two positions away in either direction:
- Case A: W is at position 1 (occupied by U, so not possible).
- Case B: W is at position 5 (moving 2 positions further to the right from S).
Thus, W is at position 5.
Step 2: Position of Q
3. Q sits adjacent to U:
The positions adjacent to U (position 1) are position 8 (immediate left of U) and position 2 (immediate right of U).
Step 3: Position of T, P, and R
4. T sits to the immediate left of P:
This means T and P sit next to each other, with P to the right of T.
5. T does not sit adjacent to W:
W is at position 5, so T cannot be at position 4 or position 6.
6. R sits two persons away from P:
This means there is 1 person sitting between R and P (or R is 2 places away from P).
Step 4: Deducing the full arrangement
Let's number positions 1 to 8 in a circle in clockwise order (where clockwise = left, counter-clockwise = right when facing center):
- U is at position 1.
- S (2nd to right of U) is at position 7 (or position 3 depending on orientation). Let's use standard counter-clockwise as right:
- Pos 1: U
- Pos 3: S (2nd to right of U)
- Pos 5: W (1 person between S and W)
- Pos 8 is immediate left of U.
- Pos 2 is immediate right of U.
Since T sits to the immediate left of P, moving clockwise (to the left) from P gives T.
If P is at position 8 (immediate left of U), then T is at position 7 (immediate left of P).
Let's check if this works:
- U at 1
- Q at 2 (adjacent to U)
- S at 3
- V/R at 4
- W at 5
- R/V at 6
- T at 7
- P at 8
Let's check all conditions:
1. S (pos 3) is second to the right of U (pos 1): Correct.
2. Q (pos 2) is adjacent to U (pos 1): Correct.
3. Only one person sits between S (pos 3) and W (pos 5): Correct.
4. T (pos 7) does not sit adjacent to W (pos 5): Correct (pos 6 and 4 are adjacent to W).
5. T (pos 7) sits to the immediate left of P (pos 8): Correct (clockwise is left).
6. R sits two persons away from P (pos 8): Pos 6 is two persons away from P (pos 8). So R is at pos 6, and V is at pos 4.
Conclusion:
Looking at P (pos 8) with respect to U (pos 1):
P is sitting directly at position 8, which is to the Immediate left of U (position 1).
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