The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

Question:
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

[A].

9000

[B].

9400

[C].

9600

[D].

9800

Answer: Option C

Explanation:

Greatest number of 4-digits is 9999.

L.C.M. of 15, 25, 40 and 75 is 600.

On dividing 9999 by 600, the remainder is 399.

Required number (9999 – 399) = 9600.