## Question

`What is the greatest number of four digits which is divisible by 15, 25, 40 and 75 ?`

`What is the greatest number of four digits which is divisible by 15, 25, 40 and 75 ?`

A. 9800

B. 9600

C. 9400

D. 9200

**Answer: B. 9600**

**Solution:**

Greatest number of four digits = 9999

LCM of 15, 25, 40 and 75 = 600

9999 ÷ 600 = 16, remainder = 399

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

= 9999 – 399 = 9600

Hence, the answer is **9600.**

**Read more:**

**Two numbers are in the ratio 2 : 3. If their L.C.M. is 48. what is sum of the numbers?**