Study the following information carefully and answer the questions given below. Nine persons-K, L, M, N, O, P, Q, R and S purchase different products one after another but not necessarily in the same order. Three persons purchase products between K and M. R purchase product two persons before M. Two persons purchase product between R and O who purchase product before K. L purchase product just after K. Four persons purchase product between L and Q. The number of persons purchases products before K is same as the number of persons purchase products after Q. P purchase product before S but after M.
Four of the following five pairs are alike in a certain way and form a group. Identify the pair that does NOT belong to the group:

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**Solution:**

1. Let's analyze the given conditions step-by-step to determine the order of persons:

- There are 9 persons: K, L, M, N, O, P, Q, R, S.
- Three persons are between K and M.
- R is two persons before M.
- Two persons are between R and O, and O is before K.
- L is immediately after K.
- Four persons are between L and Q.
- The number of persons before K equals the number of persons after Q.
- P is after M but before S.

2. From "R is two persons before M," if M is at position *x*, then R is at position *x - 2*.

3. Since three persons are between K and M, the positions of K and M differ by 4.

4. O is before K with two persons between R and O.

5. L is immediately after K, so L's position is K's position + 1.

6. Four persons are between L and Q, so the positions of L and Q differ by 5.

7. The number of persons before K equals the number of persons after Q, so K and Q are symmetrically placed.

8. P is between M and S.

9. By placing these constraints, the order is:

O - K - L - R - N - M - P - Q - S

10. Now, check the pairs:

- (a) O - L: O is 1st, L is 3rd; difference 2
- (b) K - R: K is 2nd, R is 4th; difference 2
- (c) L - N: L is 3rd, N is 5th; difference 2
- (d) M - Q: M is 6th, Q is 8th; difference 2
- (e) Q - S: Q is 8th, S is 9th; difference 1

11. All pairs except (e) have exactly one person between them (difference of 2 positions), but (e) are adjacent.

**Answer:** (e) Q - S does not belong to the group because the spacing between them differs from the others.

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