A, B, C, D, E and F live on six different floors of the same building. The lowermost floor is numbered 1, and the topmost is 6.

A lives on a floor which is a prime number. The product of floors on which A and E live is 3. Only 2 people live above B. F lives immediately below C.

How many people live between D and F?

Three

Four

One

Two

APEDIA

NTPC Graduate Tier 1

2025 • 06 May, 2025 • Shift-1

A, B, C, D, E and F live on six different floors of the same building. The lowermost floor is numbered 1, and the topmost is 6.

A lives on a floor which is a prime number. The product of floors on which A and E live is 3. Only 2 people live above B. F lives immediately below C.

How many people live between D and F?

Correct Answer

Two

Deducing A and E: The mathematical product of A and E's floor numbers is exactly 3. Given the constraints of a 6-floor building, they must occupy floors 1 and 3......

💡 Analysis & Explanation

Deducing A and E ▼

The mathematical product of A and E's floor numbers is exactly 3. Given the constraints of a 6-floor building, they must occupy floors 1 and 3. Since A's floor must be a prime number, A takes floor 3, leaving E to inhabit floor 1.

Anchoring B's Position ▼

The clue stating 'Only 2 people live above B' definitively and permanently anchors B on floor number 4.

Adjacent Placements ▼

The puzzle dictates that F resides immediately below C. Reviewing the available real estate, the only consecutive empty slots left are floors 5 and 6, cementing C on 6 and F on 5.

Final Slotting ▼

The only tenant remaining is D, who is obliged by elimination to take the sole remaining vacancy on floor 2. The finalized architectural order from top to bottom is C, F, B, A, D, E.

Conclusion ▼

Counting the residents positioned strictly between D (floor 2) and F (floor 5) yields exactly two people (A and B).

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