If 7 divides the integer, then the remainder is 2. What will be the remainder if 9n is divided by 7?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 4.
n = 7k + 2, where k is some integer
⇒ 9n = 9(7k + 2) = 63k + 18
⇒ 9n = (7 × 9k) + (7 × 2) + 4
Therefore, the remainder is 4.