Directions (77-81): Read the following information carefully and answer the questions given below:
Ten persons- M, N, O, P, Q, R, S, T, U and V live on different floors of a ten-storey building where ground floor is numbered as 1, above it is 2 and so on till the topmost floor is numbered as 10.
Four persons live between N and O who lives immediate below P. N lives on an even numbered floor but not on top floor. Q lives three floors below P. The number of persons live above R is same as the number of persons live below S but they do not live adjacent to each other. T lives adjacent to S. U lives on an odd numbered floor but above V and below M.
Who among the following lives just above the floor on which N lives?
Correct Answer :
U
Solution :
The correct answer is U.
Let's carefully decode all the clues step-by-step to build the complete floor arrangement.
Step 1 – Identify the N–O–P–Q block
The clues tell us:
• Four persons live between N and O → |Floor(N) − Floor(O)| = 5
• O lives immediately below P → Floor(P) = Floor(O) + 1
• N lives on an even numbered floor, but not floor 10
• Q lives three floors below P → Floor(Q) = Floor(P) − 3
Testing N = 4 with O above N:
Floor(O) = 4 + 5 = 9, Floor(P) = 9 + 1 = 10, Floor(Q) = 10 − 3 = 7
This is valid (N=4 is even and not 10). ✓
Step 2 – Remaining floors and the R–S condition
Floors used so far: N=4, O=9, P=10, Q=7
Remaining floors for M, R, S, T, U, V: 1, 2, 3, 5, 6, 8
The clue states: number of persons above R = number of persons below S
• Persons above R on floor r = 10 − r
• Persons below S on floor s = s − 1
Setting them equal: 10 − r = s − 1 → r + s = 11
From the available floors {1, 2, 3, 5, 6, 8}, the pair that sums to 11 and is not adjacent (|r − s| ≠ 1):
→ R = 8, S = 3 (|8 − 3| = 5, not adjacent ✓)
Step 3 – Place T (adjacent to S)
T must be on floor 2 or 4. Floor 4 is taken by N, so T = 2. ✓
Step 4 – Place M, U, V (remaining floors: 1, 5, 6)
Clue: U is on an odd floor, with V below U and M above U.
From {1, 5, 6}, the only odd floor is 5 and 1.
• If U = 1: no floor below 1 for V → impossible.
• If U = 5: V must be below 5 → V = 1; M must be above 5 → M = 6. ✓
Step 5 – Complete Floor Arrangement
| Floor | Person |
|---|---|
| 10 | P |
| 9 | O |
| 8 | R |
| 7 | Q |
| 6 | M |
| 5 | U |
| 4 | N |
| 3 | S |
| 2 | T |
| 1 | V |
Step 6 – Verification of all clues
✅ Four persons (U, M, Q, R on floors 5–8) between N(4) and O(9)
✅ O(9) is immediately below P(10)
✅ N is on floor 4 — even and not floor 10
✅ Q(7) is three floors below P(10)
✅ Persons above R(8) = 2; Persons below S(3) = 2 → equal ���; |8−3|=5, not adjacent ✓
✅ T(2) is adjacent to S(3)
✅ U(5) is on an odd floor; V(1) < U(5) < M(6)
Answer: N lives on floor 4. The floor immediately above floor 4 is floor 5, which is occupied by U.
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