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Question

Among six people P, Q, R, S, T and V, each lives on a different floor of a six-storey building having six floors numbered one to six (the ground floor is numbered 1, the floor above it number 2 and so on and the topmost floor is numbered 6). Who lives on the topmost floor?
I. There is only one floor between the floors on which R and Q live, P lives on an even numbered floor.
II. T does not live on an even numbered floor. Q lives on an even numbered floor. Q does not live on the topmost floor
III. S lives on an odd numbered floor. There are two floors between the floors on which S and P live. T lives on a floor immediately above R's floor.

A
The data in statement I and II are sufficient to answer the questions while the data in statement III is not required to answer the question.
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B
The data in statement I and III are sufficient to answer the questions, while the data in statement II is not required to answer the questions.
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C
The data in Statement II and III are sufficient to answer the question, while the data in statement I is not required to answer the question.
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D
The data in either statement I alone or statement II alone or statement III alone is sufficient to answer the questions.
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E
The data in all the statements I, II and III together are necessary to answer the question.
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Solution

The correct option is E The data in all the statements I, II and III together are necessary to answer the question.
From statement I, II and III, P-6, T-5, R-4, S-3, Q-2, V-1.
Hence, P lives on the topmost floor.

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