Six people - K, M, N, P, Q, and R are sitting around a circular table facing the centre. Who sits to the immediate right of K?

(I) K sits third to the left of M. Only one person sits between K and N. R sits to the immediate left of N.

(II) K sits second to the right of Q. Only two people sit between K and M. P sits second to the left of R.

Question

Six people - K, M, N, P, Q, and R are sitting around a circular table facing the centre. Who sits to the immediate right of K?

(I) K sits third to the left of M. Only one person sits between K and N. R sits to the immediate left of N.

(II) K sits second to the right of Q. Only two people sit between K and M. P sits second to the left of R.

Accepted Answer

**Solution:**

We need to find who sits to the immediate right of K.

**Using Statement I:**
1. K sits third to the left of M.
2. Only one person sits between K and N.
3. R sits to the immediate left of N.

Arrange M at any position (say position 1). Since K is third to the left of M, and everyone faces the center, moving left means moving counterclockwise.

Positions around the table (1 to 6):
- M at 1
- Counting left (counterclockwise), third to the left of M is position 4, so K is at 4.

Only one person sits between K and N, so N can be at position 6 or 2 (positions adjacent to K with one person in between).

R sits immediately to the left of N, so if N is at 6, R is at 5; if N is at 2, R is at 1.

Check consistency:
- If N is at 6, R at 5, M at 1, K at 4.
- This arrangement is consistent.

From this arrangement, R is immediately to the right of K (since K is at 4, R at 5 is to the immediate right).

**Using Statement II:**
1. K sits second to the right of Q.
2. Only two people sit between K and M.
3. P sits second to the left of R.

Assume Q at position 1.

K is second to the right of Q (right means clockwise), so K is at position 3.

Two people sit between K and M, so M can be at position 6 (positions 4 and 5 between 3 and 6).

P sits second to the left of R, so if R is at position 5, P is at position 3 (which is K's position, so not possible). Try R at 4, then P at 6.

This arrangement is consistent.

From this arrangement, R is immediately to the right of K (K at 3, R at 4).

**Conclusion:**
Both statements independently allow us to determine that R sits immediately to the right of K.

**Answer:** Either data in statement I or statement II is sufficient to answer the question.

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