Determine the smallest positive number y such that 10500y is divisible by 11

Answer 1

since 11 does not divide 10500,
10500*11 = ______ is the smallest multiple of 10500 that is divisible by 11

unless you meant the six-digit number whose last digit is y.
In that case, since 105000 = 9545*11 + 5, we need to add6, giving us 105006