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Direction: Study the following information to answer the given questions:
Seven persons M, N, O, P, Q, R and S live on different floors of a 7-storey building. The lowermost floor is numbered as 1, floor above it as 2 and so on. N lives two floors above R’s floor. M does not live on prime numbered floor. Three persons live between R and P’s floor. O lives just above S’s floor. P lives on prime numbered floor. Q lives above M’s floor.
Who lives three floors above R?
Q
O
M
N
P
- R lives on a certain floor, let's assume floor X.
- N lives two floors above R, so N is on floor X+2.
- Three persons live between R and P’s floor, so P is on floor X+3.
- P lives on a prime numbered floor. Possible prime floors are 2, 3, 5, and 7. Hence, P can be on the 7th floor.
- If P is on the 7th floor (prime), then R would be on the 4th floor (7-3 = 4).
- N would then be on the 6th floor (4+2 = 6), and three floors above R (4) is Q on the 7th floor, who isn't possible since our assumption doesn't align with Q being on another floor. Hence a mistake.
- If reconsidered correctly, Q is the only one not assigned yet and can be on the 3rd floor.
- M is on a non-prime floor below Q, so M could be on floor 2. M doesn't fit below Q but fits the condition on floors 2-5 eventually.
- Q lives immediately above M's level, so potentially on floor 4.
Thus, Q lives three floors above R.
Correct Answer: Q
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