Directions: Read the following information carefully and answer the questions given below:

Ten persons—A, B, C, D, E, F, G, H, I, and J—live on different floors of a 10-storey building, where the ground floor is numbered 1, the floor above it is 2, and so on up to the top floor numbered 10.

B lives on an even-numbered floor below floor 5. Three persons live between B and F, who lives immediately below H. D lives on an even-numbered floor above H. Two persons live between H and C, who lives above D. The number of persons living above C is the same as the number of persons living below A. J lives three floors above F. E lives immediately below I and immediately above G.

How many persons live between J and E?

The correct answer is Four.

Step-by-step explanation:

We are given a 10-storey building numbered 1 to 10 from bottom to top, occupied by ten persons: A, B, C, D, E, F, G, H, I, and J.

Step 1: Determine the positions of B, F, and H
1. B lives on an even-numbered floor below floor 5. The possible even floors below floor 5 are floor 2 and floor 4.
2. Three persons live between B and F.
- If B is on floor 4, F must be on floor 8 (4 + 3 + 1 = 8).
- If B is on floor 2, F must be on floor 6 (2 + 3 + 1 = 6).
3. F lives immediately below H. Thus:
- If F is on floor 8, H is on floor 9.
- If F is on floor 6, H is on floor 7.

Step 2: Determine the positions of D and C
1. D lives on an even-numbered floor above H.
2. Two persons live between H and C, and C lives above D.
- If H were on floor 9, C would have to be on floor 12 (9 + 3 = 12), which is invalid since there are only 10 floors.
- Therefore, H must be on floor 7, which means F is on floor 6 and B is on floor 2.
3. Since H is on floor 7 and C lives above D (and thus above H), C must be 3 floors above H. Thus, C is on floor 10 (7 + 3 = 10).
4. Since D lives on an even floor above H (floor 7) and below C (floor 10), D must be on floor 8.

Step 3: Determine the positions of A and J
1. The number of persons living above C is the same as the number of persons living below A.
- C is on floor 10, so 0 persons live above C. Therefore, 0 persons live below A, placing A on floor 1.
2. J lives three floors above F.
- Since F is on floor 6, J is on floor 9 (6 + 3 = 9).

Step 4: Determine the positions of I, E, and G
1. E lives immediately below I and immediately above G. This means I, E, and G occupy three consecutive floors in top-to-bottom order (I at the top, E in the middle, G at the bottom).
2. The remaining empty floors are floor 5, floor 4, and floor 3.
- Floor 5: I
- Floor 4: E
- Floor 3: G

Final Floor Arrangement:
- Floor 10: C
- Floor 9: J
- Floor 8: D
- Floor 7: H
- Floor 6: F
- Floor 5: I
- Floor 4: E
- Floor 3: G
- Floor 2: B
- Floor 1: A

Step 5: Answer the question
We need to find the number of persons living between J (Floor 9) and E (Floor 4).
The persons living on floors 8, 7, 6, and 5 are D, H, F, and I.
Count of persons = 4.

Therefore, Four persons live between J and E.