There are three floors in a building: floor 1 at the bottom, floor 2 above it, and floor 3 at the top. Each floor has two flats: Flat A on the west an...

There are three floors in a building: floor 1 at the bottom, floor 2 above it, and floor 3 at the top. Each floor has two flats: Flat A on the west and Flat B on the east. Each flat covers an area of 576 ft² and has a unique number of rooms (no two flats have the same number of rooms). The following information is known:

• The area of each room in one of the flats on the even-numbered floor is 64 ft².
• The total number of rooms on floor 3 is 7.
• The flat with rooms of area 72 ft² is on an odd-numbered floor.
• The flat directly below the flat with 9 rooms has a total area of 288 ft².
• There is exactly one floor between the flat whose room area is 192 ft² and the flat whose room area is 72 ft².
• There is no flat to the west of the flat having 6 rooms.

Based on this information, which of the following statements is true?

(a) Total number of rooms on floor 2 is 14

(b) Area of each room in Flat A on floor 1 is 94 ft²

(c) Total rooms in Flat A of all three floors is 17

(d) All are correct

(e) None is correct