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The six digit number 87937A is divisible by 6 where A is the least natural number. Find the value of A.
Question

The six digit number 87937A is divisible by 6 where A is the least natural number. Find the value of A.

A.

8

B.

4

C.

6

D.

2

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.

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