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### Question

x should be replaced by which minimum number so that 77x7533423 is completely divisible by 3?

**A**

1.

**B**

2.

**C**

4.

**D**

3.

**Soln.**

**Ans: a**

If the above number has to be divisible by 3, the sum of the digits, i.e., 7 + 7 + x + 7 + 5 + 3 + 3 + 4 + 2 + 3, should be divisible by 3. So we can see that $x + 41$ should be divisible by 3. By inspection, x = 1.