Question

If the difference between a 3-digit number egf and the number obtained by reversing its digits is divided by 33, then the quotient and remainder respectively will be:

• A. (f - g); 3
• B. 99(e - f); 0
• C. 33(e - g); 3
• D. 3(e - f); 0

Answer 1

The correct option is D

3(e - f); 0

The expanded form of the 3-digit number egf is 100e + 10g + f.

The expanded form of the 3-digit number fge is 100f + 10g + e.

Difference of egf and fge is
= (100e + 10g + f) - (100f + 10g + e)
= 100e + 10g + f - 100f - 10g - e
= 99e - 99f
= 99(e - f)
= 33 x 3 x (e - f)

When divided by 33, we get
Quotient = 3(e - f) and remainder = 0