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

Correct option is B

Given:

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

Solution:

Number can be written in the form

$$Dividend = Divisor\times Quotient +Remainder$$​

n = 9k + 4 

Now, multiplying it by 12

12n = 12(9k + 4)

=> 12n = 108k + 48

=> 12n = 108k + 45 + 3

=> 12n = 9(12k + 5) + 3

So, Remainder is 3

Hence, option (b) is the correct answer.