The biggest three-digit number leaves 2 as a remainder when

Find the last digit of (12¹²³ – 1).

If the 4-digit number m52n is exactly divisible by 9, then what is the least value of (m + n)?

A waiter income consist of his salary and tips. During one week his tips were 4/5 of his salary. What portion of his income came from tips?

Out of four numbers the average of the first three is 16 and that of the last three is 15. If the last number is 20 then the first number is

Determine the highest possible value of (x + y) if the number '3x725y4' is divisible by 12.

The difference between two numbers is 6, and their product is 5. What is the sum of the squares of these two numbers?

 Find the remainder when x³ + 2x² − 5x + 7 is divided by (x − 2).

Find the difference between minimum and maximum value of 'b' such that '4b2381' is always divisible by 3.