Find the smallest number to be added to 1000 so that 55 divides the sum exactly.

What is the remainder when (120)188 is divided by 7?

What is the unit digit of the product of all even numbers between 1 and 11?

When a number is divided by 136, it leaves a remainder of 36. If the same number is divided by 17, what will be the remainder?

What is the unit digit of (82)102 + (183)103?

The product of three consecutive odd numbers is 2145. What is the largest number among them?

Which of the following numbers is divisible by 85?

In a lesson on number systems, students are asked to classify the numbers 0, 2, -1, and 12. Which set of classifications accurately matches each number according to standard mathematics curricula?

Which of the following statements about numbers is mathematically correct?