Question

When a number is divided by 36, the remainder is 19. What will be the remainder when the number is divided by 12 ?

• A. 7
• B. 5
• C. 3
• D. 0

Answer 1

The correct option is A 7

Let the number be 'x'

Numerator = Quotient $\times$ Denominator + Remainder

$x=36Q_1+19=12\left(3Q_1\right)+19=12(3Q_1+1)+7$

$x=12Q_2+R$

Comparing both equations

$Q_2=3Q_1+1$ and

remainder is $7$.