Question

In a question on division if four times the divisor is added to the dividend then how will the new remainder change in comparison with the original remainder?

• A. Remainder remains unchanged.
• B. Remainder increases by 4.
• C. Remainder decreases by 4.
• D. Remainder becomes 4 times the older remainder.

Answer 1

The correct option is A Remainder remains unchanged.

Dividend = Divisor $\times$ Quotient + Remainder
If 4 times the divisor is added to the dividend then
Dividend + 4 $\times$ divisor = Divisor $\times$ Quotient + 4 $\times$ Divisor + Remainder
= Divisor $\times$ (Quotient + 4) + Remainder
$\therefore$ Remainder remains unchanged