When an integer n is divided by 6, the remainder is 5. What is the remainder if 9n is divided by 6?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 3.
n = 6 × quotient + 5
9n = 9(6 × quotient + 5)
⇒ 9 × 6 × quotient + 5 × 9
⇒ 9 × 6 × quotient + 7 × 6 + 3
⇒ 6(9quotient + 7) + 3
3 is the remainder if 9n is divided by 6