Question

Six boys live in a building of six floors. Ground floor is numbered as $1$ and the top most floor is numbered as $6$. Each floor can accommodate only $1$ person. There are exactly $4$ boys living between A and B. C lives two floors below B. F doesn't live immediately above or below A and B. D is an immediate neighbour of B. How many people live between C and A ?

• A. $3$
• B. $2$
• C. $1$
• D. $0$

Answer 1

The correct option is B $2$

$\to$ It is given that there are exactly $4$ boys live between A and B, hence it is clear that A and B either live at the top floor or the bottom floor.

$\to$ But, it is known that e lives two floor below B, thus B has to be on the top floor.

$6$ - B

$5$ -

$4$ - C

$3$ -

$2$ -

$1$ - A

$\to$ Also, F doesn't live closer to A and B. Hence F cannot live at floor $2$ and floor $5$ Thus only possible position for F would be floor $3$.

$6$ - B

$5$ -

$4$ - C

$3$ - F

$2$ -

$1$ - A

$\to$ D is an immediate neighbour of B, thus D has to be on floor $5$ and E has to be on floor $2$

$6$ - B

$5$ - D

$4$ - C

$3$ - F

$2$ - E

$1$ - A

Hence, total two people live between C and A