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 solve the problem, let's arrange the six people in a circular manner where they all face the center. We have the following clues:

1. U and H are immediate neighbors of M.
2. E is the only person sitting between K and S.
3. H is to the immediate right of S.

Based on these clues, we proceed as follows: 

1. Place M in any position within the circle. U and H must be placed around M as they are immediate neighbors. Thus, we have two possible arrangements around M: (i) U - M - H or (ii) H - M - U.
2. Place S such that H is immediately to its right. Considering the two arrangements:
   • For U - M - H, S must be placed such that H is immediately to the right of S, giving us S - U - M - H.
   • For H - M - U, S could be before U, resulting in S - H - M - U.
3. E and K must be placed such that E is sitting between K and S. In the arrangement S - U - M - H:
   • The only gap remaining between S and U is where E and K can be placed. Hence, K is placed right before S, making the arrangement: K - S - U - M - H - E.
4. Thus, from the arrangement S - H - M - U, it results in a conflict. Therefore, only the first arrangement is valid.

From the arrangement K - S - U - M - H - E, we see M is immediately to the right of U.

The immediate right of U is M.

Answer 2

• U and H are immediate neighbours of M.
• E is the only person sitting between K and S.
• H is to the immediate right of S.

From the last two statements, we can deduce the sequence S, H. Since U and H are neighbours of M, M must be to the left of H. Therefore, we have the sequence S, H, M.

Since U is also a neighbour of M, U must be to the left of M. So we have U, M, H, S.

E is the only person sitting between K and S. This means the sequence is K, E, S. Therefore, the arrangement must be U, M, H, S, E, K (in clockwise order, or reverse).

So, the full arrangement is: U - M - H - S - E - K (clockwise)

We want to find who is to the immediate right of U. Following the clockwise order, it is M.