Seven persons A, B, C, D, E, F, and G like seven different colours: Yellow, White, Red, Orange, Blue, Grey, and Black. They visit a mall on different days from Monday to Sunday.

Given the following conditions:

1. A visits on a day after Thursday.
2. Exactly 4 people visit between A and B.
3. The person who likes Red visits immediately after B.
4. Exactly one person visits between the person who likes Red and the one who likes Blue.
5. The person who likes White visits before the day C visits.
6. The person who likes White does not visit on Monday.
7. D visits before E.
8. Exactly one person visits between D and E. D likes Yellow.
9. The number of persons between A and the person who likes Blue is one less than the number of persons between B and C.
10. Neither G nor F likes Black or White.
11. G and E do not visit on Saturday, and G does not like Grey.

Question: The person who visits just before F likes which colour?

Question

Seven persons A, B, C, D, E, F, and G like seven different colours: Yellow, White, Red, Orange, Blue, Grey, and Black. They visit a mall on different days from Monday to Sunday.

Given the following conditions:

1. A visits on a day after Thursday.
2. Exactly 4 people visit between A and B.
3. The person who likes Red visits immediately after B.
4. Exactly one person visits between the person who likes Red and the one who likes Blue.
5. The person who likes White visits before the day C visits.
6. The person who likes White does not visit on Monday.
7. D visits before E.
8. Exactly one person visits between D and E. D likes Yellow.
9. The number of persons between A and the person who likes Blue is one less than the number of persons between B and C.
10. Neither G nor F likes Black or White.
11. G and E do not visit on Saturday, and G does not like Grey.

Question: The person who visits just before F likes which colour?

Accepted Answer

**Solution:**

1. Since A visits after Thursday, possible days for A are Friday, Saturday, or Sunday.

2. There are exactly 4 people between A and B. Since there are 7 days, if A is on Friday (5th day), B must be on Monday (1st day) or Sunday (7th day). But A must be after Thursday, so A cannot be Monday or Tuesday.

3. B is placed on Monday (1st day), so A is on Saturday (6th day) to have 4 people in between.

4. The person who likes Red visits immediately after B, so Red is on Tuesday (2nd day).

5. Exactly one person visits between Red (Tuesday) and Blue, so Blue is on Thursday (4th day).

6. The person who likes White visits before the day C visits and not on Monday. So White can be on Wednesday (3rd day) or Friday (5th day).

7. D visits before E with exactly one person between them. D likes Yellow.

8. G and E do not visit on Saturday, and G doesn't like Grey or Black or White.

9. The number of persons between A (Saturday) and Blue (Thursday) is 1 (Friday), which is one less than the number of persons between B (Monday) and C.

10. So, C must be on Thursday (4th day) or Friday (5th day). Since Blue is on Thursday, C is on Friday.

11. Assigning colours and days accordingly, the person who visits just before F (Sunday) is on Saturday, which is A.

12. A's colour is Orange.

**Answer:** Orange

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