The Four Floors Puzzle

DIRECTIONS for questions 1 to 5: Answer the questions on the basis of the information given below.

In a mall, there are a total of four floors – first floor to fourth floor – with each floor having exactly 100 shops. The area of each shop is 100 sq. ft or 400 sq. ft. or 800 sq. ft.

Further, the shops in the mall are of three types – Food Outlets (FO), Clothing Outlets (CO) or Electronic Outlets (EO). The area of any FO is either 100 sq. ft or 400 sq. ft. The area of any CO is either 400 sq. ft or 800 sq. ft.

It is also known that

1. on at least two floors, the number of 100 sq. ft. EOs on that floor is the same as that of 400 sq. ft. COs on that floor.

2. the total area of all the FOs on the second floor is the same as the total area of all the COs on the second floor, and the number of FOs on the second floor is less than that on the first floor.

3. there are 90 EOs on the first three floors of the mall, of which 25 have an area of 400 sq. ft.

4. there are exactly 35 shops which have an area of 800 sq. ft., while the sum of the number of FOs and COs on each floor is the same for all the four floors.

5. on each floor, except the second floor, the number of 100 sq. ft. FOs is the same as that of 400 sq. ft. FOs, which, in turn, is the same as the number of 800 sq. ft COs.

6. the number of FOs on the third floor is the same as the number of EOs on the second floor, which, in turn, is the same as the number of COs on the first floor.

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1. Which of the following options best represents the number of 400 sq. ft. COs on the second floor of the mall?

   
   

   a) It lies between 28 and 33.    

   b) It lies between 31 and 36.   

   c) It lies between 15 and 30.    

   d) It lies between 10 and 20.

   
   

2. How many 100 sq. ft. EOs are on the second floor of the mall?

   a) 30

   b) 25

   c) 20

   d) Either 25 or 30

   
   

3. What is the total number of 800 sq. ft. EOs in the mall?

4. The area of all the shops on the second floor of the mall is the same as the area of all the shops on the fourth floor of the mall. What is the total number of 100 sq. ft. EOs in the mall?

5. The area of all the shops on the third floor of the mall is the same as the area of all the shops on the fourth floor of the mall. What is the total number of 400 sq. ft. EOs in the mall?

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Solutions to the puzzle:

1. B

2. 30

3. 0

4. 95

5. 35

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