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Directions: Study the information carefully and answer the questions given below. There are three floors in a given building such that floor 2 is above floor 1 and floor 3 is above floor 2. In the building, there are two flats on each floor such that Flat A is in the west of Flat B. The area of eac

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Directions: Study the information carefully and answer the questions given below.

There are three floors in a given building such that floor 2 is above floor 1 and floor 3 is above floor 2. In the building, there are two flats on each floor such that Flat A is in the west of Flat B. The area of each room of a flat is the same.

In the building, each Flat has an area of 576 sq sq ft and each flat has a certain number of rooms and no two flats have the same number of rooms.

 The area of each rooms of one of the flats on the even number floor is 64sq sq ft. Total rooms on floor number third is seven. The flat which has rooms of an area of 72 sq sq ft is on odd number floor. Area of each rooms of the flat which is exactly below 9 room’s flat is 288 sq sq ft. There is only one floor between the flat whose each room area is 192 sq sq ft and the flat whose rooms area is 72 sq sq ft. There is no flat on the west of the flat having 6 rooms.
How many rooms are there in that building?
1). 32
2). 34
3). 31
4). 28


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2 vote
Answered by on | Votes 2 |

1) There is only one floor between the flat who’s each room area is 192 sq ft and the flat whose each rooms area is 72 sq ft.

2) Total rooms on floor number third is seven.

(Thus, in the other flat of third floor has four rooms.

And the area of each room of that flat is 144 sq ft)

Floor

Case 1$

Case 2$

Flat A/ Num

Flat B

Flat A

Flat B

3rd$ Floor

192 sq ft/3 Room

144 sq ft /4 Room

144 sq ft/4 Room

192 sq ft/3 Room

2nd$ Floor

 

 

 

 

1st$ Floor

72 sq ft/8 Room

 

 

72 sq ft/8 Room

 

3) Area of each rooms of the flat which is exactly below 9 room’s flat is 288 sq ft.

4) There is no flat on the west of the flat having 6 rooms.

(Thus, case 2 is not valid and the flat having 6 room placed in Flat A)

Floor

Case 2$

Flat A

Flat B

3rd$ Floor

192 sq ft/3 Room

144 sq ft/4 Room

2nd$ Floor

6 Room

9 Room

1st$ Floor

72 sq ft /8 Room

288 sq ft/2 Room

 

There are 32 rooms in that building.

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