In a building, the ground floor is numbered one, first floor is numbered two and so on till the topmost floor is numbered five. Amongst five people- M, N, O, P and Q, each living on a different floor, but not necessarily in the same order, on which floor does Q live? Statement I: O lives on an odd-numbered floor. M lives immediately below O. Only two people live between M and P. N lives neither immediately below M nor immediately below P. Statement II: N lives on an even-numbered floor. Only two people live between N and O. Only one person lives between O and Q.

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Step-by-step reasoning:

Statement I alone:

- Floors are numbered $1$ (ground) to $5$ (top). O is on an odd-numbered floor, so O is $1,3,$ or $5$.
- M lives immediately below O, so O cannot be $1$ (no floor below). Thus O is $3$ or $5$.
- If O = $3$, then M = $2$. "Only two people live between M and P" forces P = $5$. Remaining floors $1$ and $4$ are for N and Q. But N is neither immediately below M (floor $1$) nor immediately below P (floor $4$), so N cannot occupy either remaining floor — contradiction. Hence O ≠ $3$.
- Therefore O = $5$, M = $4$. "Only two people between M and P" forces P = $1$. Remaining floors $2$ and $3$ are N and Q. N cannot be immediately below M (floor $3$), so N = $2$ and Q = $3$.

Conclusion from Statement I: Q is uniquely determined as floor $3$.

Statement II alone:

- N is on an even-numbered floor: $2$ or $4$.
- "Only two people live between N and O" means N and O are three floors apart. If N = $2$, then O = $5$. If N = $4$, then O = $1$.
- "Only one person lives between O and Q" places Q two floors from O. In both cases:
  - If O = $5$, Q = $3$.
  - If O = $1$, Q = $3$.

Conclusion from Statement II: Q is also uniquely determined as floor $3$.

Since each statement alone determines Q = $3$, the data in either statement I alone or statement II alone are sufficient to answer the question.

FINAL_ANSWER: c

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