If the remainder is 8 when positive integer n is divided by 12, what is the remainder when n is divided by 6?  Answers:
A) 0 B) 1 C) 2 D) 3 E) 4

Rationale: "assume x is quotient here , n = 12 x + 8 - - - - - - - - - - ( 1 ) and n = 6 x + ? we can also write equation ( 1 ) as : n = ( 12 x + 6 ) + 2 . ie 6 ( 2 x + 1 ) + 2 ie the first term is perfectly divisible by 6 . so , the remainder left is 2 . so , answer ( c ) is right choice ."
Answer: C