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Three floors, two flats per floor (A is west of B). Each flat has an area of 576 sq ft. Each flat has different rooms. - One flat on an even floor has a room area of 64 sq ft. - The total number of rooms on floor 3 is 7. - The flat with 72 sq ft rooms is on an odd floor. - The flat below the 9-room flat has room area of 288 sq ft. - One floor lies between the 192 sq ft and 72 sq ft room flats. - No flat is west of the 6-room flat. Which of the following is true? I. The total number of rooms on the 1st floor is 10. II. The area of each room is 94 sq ft in flat A on floor 1. III. The total number of rooms in flat A is 15.
- All are correct
- None is correct
- Only I
- Only II
Correct answer: Only I
Solution
From the clues, the arrangement forces the 1st floor total rooms to be 10, while the other statements do not match the derived room counts. Since each flat has area 576 sq ft, a room area of 94 sq ft is not consistent with an integer number of rooms, and flat A does not have 15 rooms. Therefore only statement I is true.
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