Question Details

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.

Who among the following lives immediately above the floor on which E lives?

Options

A

None of these

B

F

C

G

D

I

E

B

Show Answer

Correct Answer :

Option D

I

U

Solution :

The correct answer is I.

Step-by-step Breakdown:

We are given a 10-storey building with floors numbered 1 to 10 from bottom to top.

Step 1: Determine the positions of B, F, and H.
- B lives on an even-numbered floor below floor 5. Thus, B can live on either floor 2 or floor 4.
- Case 1: If B lives on floor 4, then three persons live between B and F, placing F on floor 8. Since F lives immediately below H, H must be on floor 9. D lives on an even-numbered floor above H, placing D on floor 10. However, C lives above D, which is impossible as floor 10 is the top floor. Thus, Case 1 is invalid.
- Case 2: If B lives on floor 2, then three persons live between B and F, placing F on floor 6 (floors 3, 4, and 5 are between them). Since F lives immediately below H, H lives on floor 7.

Step 2: Determine the positions of D and C.
- D lives on an even-numbered floor above H (floor 7), so D can be on floor 8 or floor 10.
- Two persons live between H (floor 7) and C, placing C on floor 10 (floors 8 and 9 are between them).
- Since C lives above D, D must be on floor 8, and C is on floor 10.

Step 3: Determine the position of A.
- The number of persons living above C (floor 10) is 0.
- Therefore, the number of persons living below A must also be 0, which means A lives on floor 1.

Step 4: Determine the position of J.
- J lives three floors above F (floor 6). So, J lives on floor 6 + 3 = floor 9.

Step 5: Determine the positions of I, E, and G.
- The remaining vacant floors are floors 5, 4, and 3.
- E lives immediately below I and immediately above G. This implies I, E, and G occupy three consecutive floors in descending order: I on floor 5, E on floor 4, and G on floor 3.

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

E lives on floor 4. The person living immediately above E (on floor 5) is I.

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