Correct Answer - Option 3 : 6

**Given**

6A7 + 425 = 10C2

10C2 is divisible by 3

**Formula used**

Divisibility rule of 3 = sum of all the digits are completely divisible by 3

**Calculation**

⇒ 6A7

⇒ +425

⇒ 10C2

⇒ Where, A = 3, 6 and C = 6, 9

⇒ 10C2 is completely divisible by 3.

⇒ 10 + C + 2 is multiple of 3

⇒ C = 6, 9

∴ 6 is required value of A.