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NTPC Graduate Tier 1 2025 Shift-3 📅 05 Jun, 2025

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, number 2 and so on till the topmost floor is numbered 6. The product of floors on which F and E live is 15. C lives immediately above B. The sum of floors on which D and E live is 7. How many people live between B and D?

A
3
B
2
C
1
D
4
Result Summary
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NTPC Graduate Tier 1
2025 • 05 Jun, 2025 • Shift-3
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, number 2 and so on till the topmost floor is numbered 6. The product of floors on which F and E live is 15. C lives immediately above B. The sum of floors on which D and E live is 7. How many people live between B and D?
Correct Answer
2
[Grid Establishment]: We have floors structured vertically from 1 (base) to 6 (top).[Product Clue Integration]: The product of F and E is 15. Considering the av......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Reasoning
Chapter -
Ref. Topic Puzzles and Seating Arrangement
Pg. No -
💡 Analysis & Explanation
[Grid Establishment] ▼
We have floors structured vertically from 1 (base) to 6 (top).
[Product Clue Integration] ▼
The product of F and E is 15. Considering the available floor numbers (1 to 6), the only integer combination multiplying to 15 is 3 and 5. Hence, F and E occupy floors 3 and 5.
[Sum Clue Synthesis] ▼
We know D + E = 7. Let's test the possibilities. If E = 5, then D must be 2. This places E at 5, F at 3, and D at 2. The remaining empty floors are 1, 4, and 6.
[Adjacency Validation] ▼
A further clue states C lives immediately above B, requiring two consecutive empty floors. In our current arrangement (1, 4, 6 empty), there are no adjacent vacancies. This means E cannot be 5.
[Correct Alternative] ▼
Let's test E = 3. Consequently, D = 4 (since 3+4=7), and F = 5. Now, the occupied floors are F(5), D(4), and E(3). The vacant slots are 1, 2, and 6.
[Final Placements] ▼
We now have consecutive open floors at 1 and 2. Therefore, C takes floor 2 and B takes floor 1. The remaining top floor 6 goes to A.
[Conclusion Path] ▼
The final mapped order from top to bottom is A(6), F(5), D(4), E(3), C(2), B(1). The entities situated strictly between B (Floor 1) and D (Floor 4) are C and E.
Conclusion ▼
Exactly 2 people reside between them.
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