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

Answer 1

Answer:

A. 1

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. The smallest number which must be replaced by 'x' should be 1, because multiple of 3 nearest to 41 is 42. So, x = 1.