Eight persons A, B, C, D, P, Q, R, and S are seated around two inscribed square tables such that four persons occupy the corners of the inner square and four occupy the corners of the outer square. Each person sitting on the inner square faces a person sitting on the outer square. Given the following conditions:

- C faces the person who is 2nd to the right of S.
- Q is neither an immediate neighbor of S nor C.
- D faces R and is an immediate neighbor of Q.
- A sits immediately to the left of R.
- B faces P.
- Neither P nor A face outside.

**Question:** How many persons sit between S and D when counted to the right of S?

(Count only the persons sitting on the same square as S when moving to the right.)

Question

Eight persons A, B, C, D, P, Q, R, and S are seated around two inscribed square tables such that four persons occupy the corners of the inner square and four occupy the corners of the outer square. Each person sitting on the inner square faces a person sitting on the outer square. Given the following conditions:

- C faces the person who is 2nd to the right of S.
- Q is neither an immediate neighbor of S nor C.
- D faces R and is an immediate neighbor of Q.
- A sits immediately to the left of R.
- B faces P.
- Neither P nor A face outside.

**Question:** How many persons sit between S and D when counted to the right of S?

(Count only the persons sitting on the same square as S when moving to the right.)

Accepted Answer

**Solution:**

1. There are two squares: an inner square and an outer square, each with four persons seated at the corners.

2. Persons sitting on the inner square face those on the outer square.

3. From the conditions:
   - C faces the person who is 2nd to the right of S.
   - Q is not an immediate neighbor of S or C.
   - D faces R and is an immediate neighbor of Q.
   - A sits immediately to the left of R.
   - B faces P.
   - Neither P nor A face outside, so P and A must be on the inner square.

4. Since P and A are on the inner square, and they do not face outside, the inner square is the one facing the outer square.

5. Using the above, we can arrange the persons as follows (one possible arrangement):
   - Inner square corners: P, Q, D, A
   - Outer square corners: B, S, C, R

6. From the seating:
   - C faces the person 2nd to the right of S. Counting 2nd to the right of S on the outer square gives C, so C faces D (inner square), which fits the condition.
   - D faces R and is neighbor of Q.
   - A sits immediately left of R.

7. Now, counting the number of persons between S and D to the right of S (on the same square as S, i.e., outer square):
   - The persons on outer square are B, S, C, R.
   - Starting from S and moving right: next is C (1 person), then R (2 persons), then B (3 persons), then back to S.

8. D is on the inner square, so we consider the inner square neighbors of S indirectly.

9. Since the question asks for persons between S and D when counted to the right of S, and S and D are on different squares, the count is based on the inner square seating corresponding to S's position.

10. The number of persons between S and D to the right of S is **two**.

**Answer:** (b) Two

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