Quantitative Aptitude-Advanced (English Medium)

Fermat’s Theorem:

Practice problems :

_{1. 2043}2043²⁰⁴³ find remainder when it is divided by  3, 4, 5, 6, 7, 8, 9, and 11.

2. X = 996997998997998999 what will be the remainder when X is divided by 997 ?

3. What is the remainder when 5⁹⁹ is divided by 13 ?

4. A= 11111...... 46 times M= 22222......64 times. what is the remainer when A x M is divided by 18 ?