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Question

Five friends S, U, K, N, and M are sitting around a circular table facing the centre. K is the immediate neighbour of S and M. S is not the immediate neighbour of U. N is not the immediate neighbour of M. Who is the immediate neighbour of K and N?

The correct answer is
S

Circular Table Arrangement Logic

We need to arrange five friends (S, U, K, N, M) around a circular table facing the centre based on the given clues.

  • Clue 1: K is the immediate neighbour of S and M. This means K sits exactly between S and M. The sequence must be S-K-M or M-K-S.
  • Consider the S-K-M block: The remaining friends are U and N. The arrangement could be S-K-M-U-N or S-K-M-N-U in clockwise order.
  • Clue 2: S is not the immediate neighbour of U.
    • In the S-K-M-N-U arrangement, S's neighbours are K and U. This contradicts the clue.
    • Therefore, the arrangement must be S-K-M-U-N (clockwise).
  • Clue 3: N is not the immediate neighbour of M.
    • In the S-K-M-U-N arrangement, M's neighbours are K and U. N's neighbours are U and S. M and N are not neighbours, satisfying the clue.

The final clockwise seating arrangement is S-K-M-U-N.

Identifying Neighbours of K and N

Based on the deduced arrangement S-K-M-U-N:

  • The immediate neighbours of K are S and M.
  • The immediate neighbours of N are U and S.

The question asks for the immediate neighbour of K and N. This implies finding the person who is a neighbour to both K and N.

Comparing the neighbours:

  • K's neighbours: {S, M}
  • N's neighbours: {U, S}

The common neighbour is S.

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Important Questions from Seating arrangement

  1. Seven people A, B, C, D, E, F and G are sitting around a circular table, facing the centre (but not necessarily in the same order). A is sitting second to the right of E. Only one person is sitting between D and A. B is sitting third to the right of G. F is an immediate neighbour of B. How many people are sitting between D and E when counted from the left of E?

  2. Seven people A, B, C, D, E, F, and G are sitting around a circular table, facing the center (but not necessarily in the same order). C is sitting to the immediate right of E. D is sitting third to the left of C. A is the immediate neighbor of B and C. F is not the immediate neighbor of E. What is the position of G with respect to A?

  3. P, Q, R, S, T, U, V and W are sitting around a circular table facing the centre (but not necessarily in the same order).

    P is sitting to the immediate right of V and third to the left of U.

    S is sitting fourth to the right of Q, who is not an immediate neighbour of P and T.

    Q is sitting to the second right of U.

    R is sitting to the immediate right of Q and second to the left of P.

    How many people are sitting between R and T when counted from the left of T?

  4. Rajan, Pragyan, Kamal, Sachin, Ashok, Narendra, and Laksh are sitting around a circular table, facing the centre (but not necessarily in the same order).

    Rajan sits 3rd to the right of Narendra. Kamal sits 2nd to the right of Rajan.

    Ashok is an immediate neighbour of Narendra. Pragyan sits to the immediate right of Sachin.

    Who is sitting 3rd to the left of Narendra?

  5. P got married 15 years ago. Today her age is 135 times her age at the time of her marriage. At present her son’s age is 1⁄5 of her age. What was her son’s age 4 years ago as a fraction of P’s age at that time?

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