If the remainder is 3 when positive integer n is divided by 18, what is the remainder when n is divided by 6?  Choose the correct choice from the following choices:
A) 3
B) 1
C) 2
D) 3
E) 4

Rationale: assume x is quotient here , n = 18 x + 3 - - - - - - - - - - ( 1 ) and n = 6 x + ? we can also write first term as n = ( 18 x + 6 ) = 6 ( 3 x + 1 ) + 3 ie 6 ( 3 x + 1 ) + 3 ie the first term is perfectly divisible by 6 . so , the remainder left is 3 . so , answer ( a ) is right choice .
Answer: A