How many numbers among 5001, 6003, 7204, 8400 are divisible by 6?

Correct option is A

Given:
Numbers: 5001, 6003, 7204, 8400
Formula Used:
A number is divisible by 6 if it is divisible by both 2 and 3.
Solution:
Check 5001: It is not an even number, so it is not divisible by 2. Thus, it is not divisible by 6.
Check 6003: It is not an even number, so it is not divisible by 2. Thus, it is not divisible by 6.
Check 7204: It is an even number. Now check divisibility by 3.
Sum of digits = 7 + 2 + 0 + 4 = 13 (Not divisible by 3). Thus, 7204 is not divisible by 6.
Check 8400: It is an even number. Now check divisibility by 3.
Sum of digits = 8 + 4 + 0 + 0 = 12 (Divisible by 3). Thus, 8400 is divisible by 6.
Only 1 number is divisible by 6.
Final Answer
So the correct answer is (a)