What is the remainder when 23 25 is divided by 4?

What is the remainder when 23 25 is divided by 4?
| What is the remainder when 2325 is divided by 4?

A. 0

B. 1

C. 2

D. 3

Please scroll down to see the correct answer and solution guide.

Right Answer is: D

SOLUTION

Concept Used:

For any Natural numbers P, Q, R, X. When P is divided by Q, if it leaves a remainder R, then the remainder when Px is divided by Q will be Rx.

Calculations:

When 23 is divided by 4 the remainder is 3, this can be taken as -1

For 2325 the remainder will be (-1)25 = -1

⇒ i.e. the remainder is 3 when 2325 is divided by 4

∴ required remainder = 3