Only two people sit to the left of B. Only three people sit between B and Q. Only one person sits between Q and P. D sits to the immediate left of C. R is not an immediate neighbour of Q.
How many people sit to the right of A?
To solve this problem, we need to arrange the seven people (A, B, C, D, P, Q, and R) such that the given conditions are satisfied. Let us approach the solution step-by-step:
- We are informed that only two people sit to the left of B. This means B is the third person from the left in the arrangement.
- Next, only three people sit between B and Q. Since B is at position 3, Q can be at position 7, with positions 4, 5, and 6 occupied by other persons.
- Only one person sits between Q and P. Since Q is in position 7, P must be in position 5.
- D sits to the immediate left of C. This means D and C must occupy consecutive positions.
- R is not an immediate neighbour of Q. Thus, R cannot be at position 6.
Let's consider the possible arrangement:
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| Person | - | - | B | - | P | - | Q |
From this arrangement, since R cannot be positioned at 6 (as it's an immediate neighbour to Q at 7), R must sit at position 1 or 4. To accommodate D and C next to each other, let's test the arrangement with R at position 1.
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| Person | R | D | B | C | P | A | Q |
If we arrange in this manner, A is placed in position 6.
Thus, one person, Q, sits to the right of A. Therefore, the correct answer is One.
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