The least number of five digits which is exactly divisible by 75 is :

Correct option is A

Given
Least five-digit number = 10000
Formula / Concept used
A number divisible by 75 must be divisible by 3 and 25.
Solution
Check numbers greater than 10000:
· 10000 ÷ 75 = not an integer
· 10025 ÷ 25 = 401 (divisible by 25) Sum of digits of 10025 = 1 + 0 + 0 + 2 + 5 = 8 (not divisible by 3)
· 10050 ÷ 25 = 402 (divisible by 25) Sum of digits of 10050 = 1 + 0 + 0 + 5 + 0 = 6 (divisible by 3)
So, 10050 is divisible by both 3 and 25, hence by 75.
The correct option is (a)