Question

K, L, M, N, O, P and Q are sitting on a circular dining table for dinner
Q is not between P and M
O is neighbour of K and N
L is second to the left of Q
P is to the immediate right of K

Answer 1

Answer:

The final seating arrangement is: K, P, N, Q, O, L, M.

Step-by-step explanation:

Based on the given information, we can make the following deductions:

   Since Q is not between P and M, then there are two possible arrangements for Q, P, and M around the table: either Q is between P and M, or P and M are between Q. We will have to consider both possibilities.

   Since O is a neighbour of both K and N, then O must be sitting either to the left of K and to the right of N, or to the right of K and to the left of N.

   Since L is second to the left of Q, then Q must be either to the left of L or to the right of L.

   Since P is to the immediate right of K, then P must be sitting next to K on the right.

Let's consider the first possibility for the arrangement of Q, P, and M:

In this case, Q is to the left of L. Since L is second to the left of Q, this means that P must be to the left of M. But this contradicts the fact that P is to the right of K, who is to the right of O, who is a neighbour of N. Therefore, this possibility is not valid.

Let's consider the second possibility for the arrangement of Q, P, and M.

In this case, Q is to the right of L, which means that L must be to the left of P. Since P is to the immediate right of K, this means that K must be to the left of L. Therefore, the valid arrangement .

So, the final seating arrangement is: K, P, N, Q, O, L, M.

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Answer 2

The given information can be represented as follows:

                                         N  O  K  P  L  Q  M

             

Since the people are sitting on a circular dining table, the arrangement can be made in any order as long as the given conditions are satisfied.

From the given conditions, we know that Q is not between P and M. Therefore, Q can be seated in either the first or the sixth position on the table. Also, L is second to the left of Q, so L must be seated in the fifth position.

Further, we know that O is neighbour of K and N. Therefore, O must be seated either to the immediate left or the immediate right of K and N. If we assume that K is seated in the third position, then O can be seated in the second or fourth position. In this case, P must be seated in the fifth position, which contradicts the given condition that P is to the immediate right of K. Therefore, K must be seated in the fourth or fifth position.

If we assume that K is seated in the fifth position, then O can be seated in the fourth or sixth position. In this case, P must be seated in the first position, which satisfies the given condition that P is to the immediate right of K. Therefore, the final arrangement of people around the circular dining table can be represented as:

                                      N  O  K  P  L  Q  M

In conclusion, the given conditions are satisfied only if K is seated in the fourth or fifth position and the final arrangement is N, O, K, P, L, Q, and M.

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