The largest number of 4 digits which is exactly divisible by 25 is

1. 1,000

2. 10,000

3. 9,950

4. 9,975

The largest number of 4 digits is 9,999.

To find the largest 4-digit number exactly divisible by 25, we divide 9,999 by 25:

9999 ÷ 25 = 25 × 399 + 24

The remainder is 24.

To get a number exactly divisible by 25, we subtract this remainder from 9,999:

9999 − 24 = 9975

So, the largest 4-digit number exactly divisible by 25 is 9,975.

Hence, option 4 is the correct option.