Mathematics (Divisibility and Remainder বিভাজ্যতা এবং অবশিষ্ঠ্যাংশ)

1) Find the remainder when 5^100 is divided by 13.

2) If a number leaves a remainder of 5 when divided by 7, what will be the remainder when its square is divided by 7?

3) What is the remainder when 11^11 is divided by 13?

4) If the remainder when a number x is divided by 31 is 17, what is the remainder when x^2 is divided by 31?

5) The remainder when 9^9 is divided by 8 is:

6) What is the remainder when 17^23 is divided by 16?

7) When 13^13 is divided by 7, the remainder is:

8) If a number leaves a remainder 4 when divided by 9, what will be the remainder when its fourth power is divided by 9?

9) The remainder when 2^100 is divided by 101 is:

10) If a number leaves a remainder of 7 when divided by 12, what is the remainder when its cube is divided by 12?