Study the following information and answer the given questions. 5 persons like different color one after another. Only two persons after the one who likes red. One person between D and the one who likes red. There are as many persons after D as same as before the one who likes white. The one who likes Purple is before than one who likes White and after the one who likes Yellow but not just after. O is before L and after M, who does not like Green. K is between M and O.

**Question:** Who among the following likes Purple?

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Study the following information and answer the given questions. 5 persons like different color one after another. Only two persons after the one who likes red. One person between D and the one who likes red. There are as many persons after D as same as before the one who likes white. The one who likes Purple is before than one who likes White and after the one who likes Yellow but not just after. O is before L and after M, who does not like Green. K is between M and O.

**Question:** Who among the following likes Purple?

Accepted Answer

**Solution:**

1. There are 5 persons arranged in a row. Since exactly two persons are after the one who likes Red, Red must be in the 3rd position.

2. There is one person between D and Red. So, D can be either 1st or 5th position.

3. The number of persons after D equals the number of persons before White. This means if D is at position 1, persons after D = 4, so persons before White = 4, which is impossible since only 5 persons total. Hence, D must be at position 5.

4. Since D is 5th, persons after D = 0, so persons before White = 0, meaning White is at position 1.

5. Purple is before White and after Yellow, but not immediately after Yellow. Since White is at position 1, Purple must be before position 1, which is impossible. So, we must reconsider.

Actually, since White is at position 1, Purple cannot be before White. So, White cannot be at position 1. This contradicts step 4, so let's try D at position 1.

6. If D is at position 1, persons after D = 4, so persons before White = 4, meaning White is at position 5.

7. Red is at position 3, D at 1, White at 5.

8. Purple is before White (position 5) and after Yellow, but not immediately after Yellow.

9. O is before L and after M, who does not like Green.

10. K is between M and O.

11. Positions so far:
   - 1: D
   - 3: Red
   - 5: White

12. Remaining positions 2 and 4 are for M, O, K, L.

13. Since O is before L and after M, and K is between M and O, the order must be M, K, O, L.

14. Positions 2 and 4 are left for these four persons, so the only way is:
   - 2: M
   - 3: Red (already assigned)
   - 4: K or O

But 3 is Red, so 4 can be K or O.

15. Since O is before L and after M, and K is between M and O, the order M, K, O, L must be consecutive.

16. So, the order of persons is:
   1: D
   2: M
   3: Red
   4: K
   5: L

17. O must be somewhere between M and L, but only 5 positions exist. So O must be at position 4, K between M and O means K at position 3, but 3 is Red.

18. Since M does not like Green, and Red is at 3, K and O must be at 4 and 5.

19. Purple is before White and after Yellow but not immediately after Yellow. Since White is at 5, Purple must be at 4, Yellow at 2.

20. Therefore, O is at position 4 and likes Purple.

**Answer:** O

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