Study the given information carefully to answer the given question. M, N, O, P, Q, R and Sare seven people live on seven different floors of a building but not necessarily in the same order. The lower most floor of the building is numbered 1, the one above that is numbered 2 and so on till the topmost floor is numbered 7. Each one of them have different income i.e. 3500, 15000, 7500, 9000, 11000, 13500 and 5000. (But not necessarily in the same order.) M lives on an odd numbered floor but not on the floor numbered 3. The one who has income of 11000 lives immediately above M. Only two people live between M and the one who has income of 7500. The one who has income of 15000 lives on one of the odd numbered floors above P. Only three people live between O and the one who has income of 15000. The one who has income of 7500 livesimmediately above O. R earns 4000 more than Q. The one who has income of 3500 lives immediately above the one who has income of 5000.Only one person lives between N and Q. N lives on one of the floors above Q. Neither O nor M has income of 9000. Q does not has income of 7500.

**Question:** What is the income of M?

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Study the given information carefully to answer the given question. M, N, O, P, Q, R and Sare seven people live on seven different floors of a building but not necessarily in the same order. The lower most floor of the building is numbered 1, the one above that is numbered 2 and so on till the topmost floor is numbered 7. Each one of them have different income i.e. 3500, 15000, 7500, 9000, 11000, 13500 and 5000. (But not necessarily in the same order.) M lives on an odd numbered floor but not on the floor numbered 3. The one who has income of 11000 lives immediately above M. Only two people live between M and the one who has income of 7500. The one who has income of 15000 lives on one of the odd numbered floors above P. Only three people live between O and the one who has income of 15000. The one who has income of 7500 livesimmediately above O. R earns 4000 more than Q. The one who has income of 3500 lives immediately above the one who has income of 5000.Only one person lives between N and Q. N lives on one of the floors above Q. Neither O nor M has income of 9000. Q does not has income of 7500.

**Question:** What is the income of M?

Accepted Answer

**Solution:**

1. M lives on an odd floor but not floor 3, so M can be on floor 1, 5, or 7.

2. The person earning 11000 lives immediately above M, so if M is on floor *x*, 11000 is on floor *x+1*.

3. Two people live between M and the person earning 7500, so the floors of M and 7500 differ by 3.

4. The person earning 15000 lives on an odd floor above P.

5. Three people live between O and the person earning 15000, so their floors differ by 4.

6. The person earning 7500 lives immediately above O, so if O is on floor *y*, 7500 is on floor *y+1*.

7. R earns 4000 more than Q.

8. The person earning 3500 lives immediately above the person earning 5000.

9. Only one person lives between N and Q, and N lives above Q.

10. Neither O nor M earns 9000.

11. Q does not earn 7500.

**Step-by-step deduction:**

- Since M is on an odd floor except 3, possible floors are 1, 5, or 7.

- If M is on floor 7, 11000 would be on floor 8 (impossible), so M is on floor 1 or 5.

- If M is on floor 1, 11000 is on floor 2.

- Two people between M and 7500 means 7500 is on floor 4 (since floors 1 and 4 differ by 3).

- 7500 is immediately above O, so O is on floor 3.

- O does not earn 9000, so O's income is not 9000.

- 15000 is on an odd floor above P, and three people live between O (floor 3) and 15000, so 15000 is on floor 7.

- Since 15000 is on floor 7 (odd), P must be on a floor below 7.

- 3500 is immediately above 5000, so these two incomes occupy consecutive floors.

- Only one person lives between N and Q, with N above Q.

- R earns 4000 more than Q.

Assigning floors and incomes accordingly:

| Floor | Person | Income |
|-------|--------|---------|
| 7     | ?      | 15000   |
| 6     | ?      | ?       |
| 5     | ?      | ?       |
| 4     | ?      | 7500    |
| 3     | O      | ?       |
| 2     | ?      | 11000   |
| 1     | M      | ?       |

- Since 3500 is immediately above 5000, they must be on consecutive floors.

- Floors 5 and 6 can be 3500 and 5000 in some order.

- R earns 4000 more than Q, so possible pairs are (5000, 9000) or (9000, 5000).

- O and M do not earn 9000, so 9000 must be either R or Q.

- Q does not earn 7500.

- Assign floor 5 to R and floor 6 to N or vice versa.

- After testing possibilities, M's income comes out to be 13500.

**Answer:** 13500

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