Remainder of a to the power n, divided by b. — CAT Previous-Year Questions

When 10¹⁰⁰ is divided by 7, the remainder is

When 3³³³ is divided by 11, the remainder is

If 10⁶⁸ is divided by 13, the remainder is

For all integers n > 0, 7⁶ⁿ – 6⁶ⁿ is divisible by

The remainder when 2²⁵⁶ is divided by 17 is

The remainder when 7⁸⁴ is divided by 342 is