What is the remainder when 65^99 is divided by 11?

What is the remainder when 2¹²⁰ is divided by 7?

Find the remainder when 49^49 + 1 is divided by 6.

What will be remainder when (67^67 + 67) is divided by 68?

Let P = N² where N is an odd integer. What is the remainder when P is divided by 8?

When the number 12345678910111213 . . . 99100 is divided by 16, what will be the remainder?