Number System

A number is divided successively by 3, 4, and 7, leaving remainders 2, 1, and 4 respectively. Determine the remainder w...

If $$ p $$ is a prime number greater than 3, then $$ p^2 - 1 $$ is always divisible by which number?...

Which of the following prime numbers, when dividing 2176, leaves a remainder of 9?...

The sum of three prime numbers is 100. If one of the numbers is 36 more than another, find one of the numbers. ...

Given n = 1 + x and x is the product of four consecutive integers. Then which of the following is true? I. n is an odd ...

If m and n are positive integers, then the digit in the unit's place of $5^n$ + $6^m$ is always...

What is the sum of all prime numbers between 1 and 20? ...

How many prime numbers are there between 0 and 50?...

If x is an even number, then $x^{4n}$, where n is a positive integer, will always have...