If the remainder is 11 when positive integer n is divided by 18, what is the remainder when n is ...

If the remainder is 11 when positive integer n is divided by 18, what is the remainder when n is divided by 9?

Quiz

Answer/Solution

2

Steps/Work

Assume x is quotient here,
n=18x+11 ----------(1)
and n=9x+ ?
We can also write equation (1) as:
n=(18x+9)+2.
ie 9(2x+1)+2 ie the first term is perfectly divisible by 6.
So,the remainder left is 2.
So,answer (B) is right choice.