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There are three floors in a building such that floor 2 is above floor 1 and floor 3 is above floor 2. There are two flats on each floor, and Flat A is to the west of Flat B. Each flat has an area of 576 sq ft, and each flat has a different number of rooms. The area of each room in one of the flats on an even-numbered floor is 64 sq ft. The total number of rooms on the third floor is seven. The flat whose each room has an area of 72 sq ft is on an odd-numbered floor. The flat with 9 rooms is directly below the flat with 288 sq ft room area. There is only one floor between the flat whose each room has an area of 192 sq ft and the flat whose rooms have an area of 72 sq ft. There is no flat to the west of the flat having 6 rooms. What is the area of each room of Flat B on the third floor?

1. 144 ft
2. 140.5
3. 138.5
4. 142

Correct answer: 144 ft

Solution

The clues about room counts and floor positions determine the arrangement of flats across the three floors. Using the fact that the 6-room flat cannot have a flat to its west and that the 9-room flat is directly above/below a specific flat, the third-floor Flat B is fixed. Its room area comes out to 144 sq ft.

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