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Question

A, B, C, D, E and F live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on till the topmost floor, which is numbered 6. F lives on an even-numbered floor but not on floor 6. The sum of the floors on which D and F live is 9. The sum of the floors on which F and B live is 5. E lives immediately below C. How many people live between D and E?

This question was previously asked in
RRB NTPC 2024 Undergraduate CBT 1 Question Paper (29-Aug-2025) (Shift 1)
The correct answer is

2

Let's analyze the given information step-by-step to determine the floor on which each person lives:

  • F lives on an even-numbered floor but not on floor 6: This means F lives on either floor 2 or 4.
  • The sum of the floors on which D and F live is 9: This gives us two possibilities:
    • If F is on floor 2, then D is on floor 7 (impossible since there are only 6 floors).
    • If F is on floor 4, then D is on floor 5.
    Therefore, F lives on floor 4 and D lives on floor 5.
  • The sum of the floors on which F and B live is 5: Since F is on floor 4, B must be on floor 1.
  • E lives immediately below C: We know the floors of B, D, and F. This leaves floors 2, 3, and 6. Since E is below C, the only arrangement that works is E on floor 2 and C on floor 3.

So the final arrangement is:

  • Floor 1: B
  • Floor 2: E
  • Floor 3: C
  • Floor 4: F
  • Floor 5: D
  • Floor 6: A

The question asks how many people live between D and E. D is on floor 5 and E is on floor 2. Therefore, there are 2 people (C and F) living between D and E.

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Important Questions from Floor Puzzle

  1. If P is on the first step, on which step is S?
  2. If P is on the first step, which of the following is true?
  3. If T was on the third step, which of the following pairs is incorrect?
  4. If T joined P, Q, R and S, and T was on the third step, and Q was on a higher step than T, which step must be vacant?

  5. If there are two steps in between the steps on which A and D are standing and C is standing on Step 6, A must be standing on which of the following steps?

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