Eight people A, B, C, D, E, F, G and H live in a four-storey building. The…

2025

Eight people A, B, C, D, E, F, G and H live in a four-storey building. The ground floor is numbered 1 and the top floor is numbered 4. Each floor has two flats: flat P in the west and flat Q in the east.

C does not live on an odd-numbered floor. B lives to the south-east of A. There is exactly one floor gap between A and G, and G lives to the east of C.

H lives below B in the same named flat. F lives to the north of E in the same named flat.

Which of the following statements are true? I. A lives on the topmost floor. II. G and C live on the same floor. III. No one lives to the west of E.

  1. A.

    Only I

  2. B.

    Both I and II

  3. C.

    Both II and III

  4. D.

    Only III

  5. E.

    All are true

Attempted by 5 students.

Show answer & explanation

Correct answer: E

The final arrangement shows A on the top floor, G and C on the same floor, and E in flat P where no flat lies to the west. Therefore statements I, II and III are all true.

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