Question

Six people E, H, K, M, S, and U are seated in a circle facing the center. U and H are immediate neighbors of M. E is the only person sitting between K and S. H is to the immediate right of S. Who is to the immediate right of U?

• A. M
• B. E
• C. K
• D. S

Answer 1

The Correct Option is A

To resolve the problem, arrange the six individuals in a circle facing inward. The following conditions are provided:

1. U and H are direct neighbors of M.
2. E occupies the sole position between K and S.
3. H is situated immediately to the right of S.

Applying these conditions leads to the following steps:

1. Position M arbitrarily in the circle. U and H must be placed adjacent to M. This yields two potential configurations around M: (i) U - M - H, or (ii) H - M - U.
2. Position S such that H is directly to its right. Considering the two configurations:
   • For U - M - H, S is positioned to achieve H immediately to S's right, resulting in S - U - M - H.
   • For H - M - U, S can be placed before U, forming S - H - M - U.
3. Arrange E and K so E is between K and S. In the arrangement S - U - M - H:
   • The remaining space between S and U is for E and K. Thus, K is placed immediately before S, establishing the arrangement: K - S - U - M - H - E.
4. The arrangement S - H - M - U creates a contradiction. Consequently, only the first arrangement is valid.

Observing the arrangement K - S - U - M - H - E, M is positioned immediately to the right of U.

M is immediately to the right of U.