Question

When the integer n is divided by 9, the remainder is 4. What is the remainder if 12n is divided by 9?
1. 2
2. 4
3. 5
4. 3

Answer 1

Correct Answer - Option 4 : 3

Given:

When the integer n is divided by 9, the remainder is 4

Calculations:

n = 9k + 4 (remainder is 4)

Now,

12n = 12(9k + 4)

⇒ 12n = 108k + 48

⇒ 12n = 108k + 45 + 3

⇒ 12n = 9(12k + 5) + 3

So, Remainder is 3

∴ The correct choice is option 4.