Question Details

Eight persons – P, Q, R, S, T, U, V and W – sit in a linear row. Some of them face North and some face South.
Note: Equal number of persons face north and south.
T sits third to the right of V. One person sits between S and V. Both S and V face opposite directions to each other. P sits immediately to the right of S. P and V are not immediate neighbours. Three persons sit between P and R. W sits second to the left of R. W is not an immediate neighbour of V. Immediate neighbours of R face in the direction opposite to each other. T sits immediate to the right of Q. The persons sit at both the ends of the row face opposite direction to each other. W and U face the same direction. W doesn’t face north.

The number of persons sits to the right of T is same as than the number of persons sits to the right of ____.

Options

A

V

B

P

C

W

D

S

E

R

Show Answer

Correct Answer :

Option D

S

S

Solution :

To determine the final arrangement of the eight persons (P, Q, R, S, T, U, V, and W) sitting in a linear row, we can logically combine the given clues step-by-step.

Step 1: Analyze the direction-related conventions
For a person sitting in the row:
- If they face North, their "right" is towards the right side of the row (+ direction) and their "left" is towards the left side (- direction).
- If they face South, their "right" is towards the left side of the row (- direction) and their "left" is towards the right side (+ direction).

Step 2: Place V, S, and P
- "One person sits between S and V" implies the distance between S and V is 2 positions.
- "P sits immediately to the right of S".
- "P and V are not immediate neighbours."
If S sits to the left of V (with one person in between), P must sit to the left of S so that it does not become adjacent to V. This requires S to face South. If S sits to the right of V (with one person in between), P must sit to the right of S so that it does not become adjacent to V. This requires S to face North.

Step 3: Combine with R and W
- "Three persons sit between P and R" implies the distance between P and R is 4 positions.
- "W sits second to the left of R."
Applying these constraints, we find the unique linear seating sequence from left to right (Positions 1 to 8):
P, S, W, V, R, U, T, Q

Step 4: Determine the directions (North / South)
Let us assign the facing directions to satisfy all conditions:
1. P faces North.
2. S faces South. Since S faces South, immediately to the right of S is Position 1 (P).
3. W faces South.
4. V faces North. Since V faces North, third to the right of V is Position 7 (T).
5. R faces North. Since R faces North, second to the left of R is Position 3 (W).
6. U faces South.
7. T faces North.
8. Q faces South. Since Q faces South, immediately to the right of Q is Position 7 (T).

Let's verify the remaining conditions:
- "Equal number of persons face north and south": There are 4 facing North (P, V, R, T) and 4 facing South (S, W, U, Q). This is satisfied.
- "W and U face the same direction, and W does not face north": Both W and U face South. This is satisfied.
- "Immediate neighbours of R (V and U) face opposite directions to each other": V faces North, U faces South. This is satisfied.
- "The persons sit at both the ends face opposite directions": P (North) and Q (South) face opposite directions. This is satisfied.

Step 5: Answer the final question
Now we calculate the number of persons sitting to the right of T and compare:
- T is at Position 7 and faces North. Therefore, the number of persons sitting to the right of T is 1 (which is Q at Position 8).
- S is at Position 2 and faces South. Since S faces South, the right direction points towards Position 1. Therefore, the number of persons sitting to the right of S is 1 (which is P at Position 1).

Thus, the number of persons sitting to the right of T is the same as the number of persons sitting to the right of S.

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