Correct option is D
Given:
The six-digit number is 87937A and it is divisible by 6. A is the least natural number.
Concept Used:
A number divisible by 6 must satisfy:
1. Divisibility by 2 → The last digit (A) must be even.
2. Divisibility by 3 → The sum of digits must be divisible by 3.
Solution:
Sum of digits = 8 + 7 + 9 + 3 + 7 + A = 34 + A
Try even digits for A (0, 2, 4, 6, 8) since the number must be even.
Check for A = 0: Sum = 34 → Not divisible by 3
Check for A = 2: Sum = 36 → Divisible by 3
Also, 2 is even => Number is divisible by 2
Therefore, 879372 is divisible by both 2 and 3 => divisible by 6
The least natural number A is 2.