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### Question

x should be replaced by which minimum number so that 9961x95681 is completely divisible by 9?

**A**

0.

**B**

1.

**C**

3.

**D**

2.

**Soln.**

**Ans: a**

If the above number has to be divisible by 9, the sum of the digits, i.e., 9 + 9 + 6 + 1 + x + 9 + 5 + 6 + 8 + 1, should be divisible by 9. So we can see that $x + 54$ should be divisible by 9. By inspection, x = 0.