Question

Anywhere from the following numbers are divisible by 99?
1. 50 001 006
2. 50 100 006

Answer 1

$\displaystyle \text{terms numbered by 99 :}\\\text{1. The sum of all digits is divisible by 9}\\\text{1.Odd number of digits minus the number of even numbers = 0}\\\\\bullet50001006\\5+0+0+0+1+0+0+6=12\\\text{12 is not divisible by 9}\\\\\bullet50001006\\5+0+1+0+0+0+0+6=12\\\text{12 is not divisible by 9}\\\\\text{hence none of the two numbers are divisible by 99}$