Question Details

Study the following information carefully and answer the questions given below.
Eight persons – P, Q, R, S, T, U, V and W sit around a circular table facing the centre, but not necessarily in the same order.
Q sits two places away from S. Two persons sit between S and P who does not sit adjacent to Q. W sits second to the right of P. T and the one who sits opposite to W are immediate neighbours. As many persons sit between Q and W as between T and V. R sits third to the left of V.

How many persons sit between Q and P when counts from the left of Q?

Options

A

One

B

Two

C

Three

D

Four

Show Answer

Correct Answer :

Option D

Four

Solution :

The correct option is Four.

Let's solve the arrangement step-by-step based on the given information:

1. Understanding the setup:
Eight persons: P, Q, R, S, T, U, V, and W are sitting around a circular table facing the centre. There are 8 numbered positions around the circle (let's say 1 to 8 in clockwise order).

2. Analyzing the clues:

Clue 1: "Q sits two places away from S."
This means there is 1 person sitting between Q and S.

Clue 2: "Two persons sit between S and P who does not sit adjacent to Q."
Let's place S at position 1.
Then Q can be at position 3 or position 7.
- Case A: Q is at position 3.
- Case B: Q is at position 7.

For Case A (S at 1, Q at 3):
Two persons sit between S(1) and P. So P can be at position 4 or position 6.
Since P cannot sit adjacent to Q(3), P cannot be at position 4. Therefore, P must be at position 6.

For Case B (S at 1, Q at 7):
Two persons sit between S(1) and P. So P can be at position 4 or position 6.
Since P cannot sit adjacent to Q(7), P cannot be at position 6. Therefore, P must be at position 4.

Clue 3: "W sits second to the right of P."
Since all face the centre, "second to the right" moves counter-clockwise (position number decreases, e.g., 6 → 5 → 4, or 4 → 3 → 2).
In Case A (P at 6): W is at position 4.
In Case B (P at 4): W is at position 2.

Clue 4: "T and the one who sits opposite to W are immediate neighbours."
- In Case A: W is at 4. The person opposite to W(4) is at position 8 (4 + 4 = 8). So T must be adjacent to position 8, which means T can be at position 7 or position 1. But S is at 1, so T can be at position 7.
- In Case B: W is at 2. The person opposite to W(2) is at position 6 (2 + 4 = 6). T must be adjacent to position 6, which means T can be at position 5 or 7. But Q is at 7, so T must be at position 5.

Clue 5: "As many persons sit between Q and W as between T and V."
- In Case A: Q is at 3, W is at 4. Between Q(3) and W(4), there are 0 persons (taking shorter side) or 6 persons. So between T(7) and V, there must be 0 persons. V must be adjacent to T(7), so V could be at position 8 (since 6 is P, 7 is T).
Let's check "R sits third to the left of V":
If V is at 8, third to the left of V(8) is position 3 (8 → 1 → 2 → 3). But position 3 is occupied by Q! This creates a contradiction.

Now let's check Case B:
S is at 1, W is at 2, P is at 4, T is at 5, Q is at 7.
Number of persons between Q(7) and W(2):
Clockwise: between 7 and 2 are positions 8, 1 (2 persons).
Counter-clockwise: between 7 and 2 are positions 6, 5, 4, 3 (4 persons).
So there are 2 persons between Q and W along the shorter direction.
Therefore, there must be 2 persons between T(5) and V.
If we count from T(5), two persons away gives position 2 or position 8.
Position 2 is occupied by W, so V must be at position 8.

Let's check "R sits third to the left of V(8)":
Third to the left of V(8) going clockwise (facing centre): 8 → 1 → 2 → 3. So R is at position 3.
Now the remaining empty position is position 6, which must be occupied by U.

Final Circular Seating Arrangement (Positions 1 to 8 clockwise):
Position 1: S
Position 2: W
Position 3: R
Position 4: P
Position 5: T
Position 6: U
Position 7: Q
Position 8: V

Answering the question:
"How many persons sit between Q and P when counted from the left of Q?"
Facing the centre, the left of Q(7) goes clockwise: 7 → 8 → 1 → 2 → 3 → 4.
The persons sitting between Q and P going to the left of Q are V, S, W, and R.
Thus, there are exactly 4 (Four) persons sitting between Q and P.

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