There are two natural numbers x and y, where x >.y When x is divided by 6, it leaves the remainder 2 and; when y is divided by 6, it 22. leaves the remainder 3. What is the remainder when (x - y) is divided by 6?

A number divided by 35 leaves remainder 18. What remainder when divided by 7?

What is the largest 5-digit number, which leaves remainder 7, when divided by 18 as well as by 1 ?

What is the remainder when 2¹²⁰ is divided by 7?

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

A number when divided by 342 gives a remainder 47. When the same number is divided by 19, what would be the remainder?