Seven persons A, B, C, D, E, F, and G live in a seven-floor building numbered from 1 (ground floor) to 7 (top floor). Each person likes a different color: Green, Red, Violet, Purple, Black, Pink, and White. The following conditions apply:

- G lives on an even-numbered floor and is three floors above the person who likes Black.
- The number of persons living above the one who likes Purple is equal to the number of persons living below the one who likes Black.
- C lives two floors above the person who likes White, who lives on an odd-numbered floor.
- C does not like Black.
- B lives two floors above the person who likes Violet.
- The person who likes Green lives just above the person who likes Pink.
- More than three persons live between E and F, and F lives just above D.

Based on this information, how many floors are between the persons who like Red and Black?

Question

Seven persons A, B, C, D, E, F, and G live in a seven-floor building numbered from 1 (ground floor) to 7 (top floor). Each person likes a different color: Green, Red, Violet, Purple, Black, Pink, and White. The following conditions apply:

- G lives on an even-numbered floor and is three floors above the person who likes Black.
- The number of persons living above the one who likes Purple is equal to the number of persons living below the one who likes Black.
- C lives two floors above the person who likes White, who lives on an odd-numbered floor.
- C does not like Black.
- B lives two floors above the person who likes Violet.
- The person who likes Green lives just above the person who likes Pink.
- More than three persons live between E and F, and F lives just above D.

Based on this information, how many floors are between the persons who like Red and Black?

Accepted Answer

**Solution:**

1. Since G lives on an even floor and is three floors above the person who likes Black, Black must be on floor 1 and G on floor 4.

2. The number of persons above Purple equals the number below Black. Since Black is on floor 1, no one is below Black, so Purple must be on the top floor 7.

3. C lives two floors above the person who likes White, and White lives on an odd floor. Possible odd floors for White are 1, 3, 5, or 7. Since 7 is taken by Purple, and 1 is taken by Black, White must be on floor 3 and C on floor 5.

4. C does not like Black, so C's color is not Black.

5. B lives two floors above the person who likes Violet. If Violet is on floor 4 (G's floor), then B is on floor 6.

6. The person who likes Green lives just above the person who likes Pink. If C is on floor 5 and likes Pink, then B on floor 6 likes Green.

7. More than three persons live between E and F, and F lives just above D. The only floors left are 2 and 1 for F and D respectively, so F is on floor 2 and D on floor 1.

8. E is on floor 7.

9. The person on floor 2 (F) likes Red.

10. The person on floor 1 (D) likes Black.

11. Floors between Red (floor 2) and Black (floor 1) is zero.

**Answer:** None

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