When a polynomial p(x) is divided by (x − 1) and (x − 2) it leaves remainders 5 and 7 respectively. What is the remainder when p(x) is divided by (x − 1)(x − 2)?

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…

What is the remainder when 2¹²⁰ is divided by 7?

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

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

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