Question

A, B, C, D, E and F live on six different floors of the same building. The lowermost floor in the building is numbered 1 , the floor above it, number 2, and so on till the topmost floor is numbered 6. F lives on an even numbered floor but not on floor number 4. Only two people live between F and B. A lives immediately below E. E lives on an even numbered floor. Neither A nor D does not live on the lowermost floor. Who lives on floor number 4?

• A. A
• B. D
• C. E
• D. C

Answer 1

Answer:

C. E

Solution:

Given: A, B, C, D, E and F live on six different floors of the same building.

The lowermost floor in the building is numbered 1, the floor above it, number 2, and so on till the topmost floor is numbered 6.

1) F lives on an even numbered floor but not on floor number 4.

2) Only two people live between F and B.

Case I: 

Floor	Person
6	F
5
4
3	B
2
1

 

Case II:

Floor	Person
6
5	B
4
3
2	F
1

 

3) A lives immediately below E.

4) E lives on an even numbered floor.

Case I: 

Floor	Person
6	F
5
4
3	B
2	E
1	A

 

Case II:

Floor	Person
6
5	B
4	E
3	A
2	F
1

 

5) Neither A nor D does not live on the lowermost floor - from this statement Case I canceled, so considering case II.

(So, D will place on the floor number 6).

And, C will place on the remaining floor.

Case II:

Floor	Person
6	D
5	B
4	E
3	A
2	F
1	C

 

So, 'E' lives on floor number 4.

Hence, the correct answer is "Option C".