A number when divided by 5 leaves a remainder of 3. What is the remainder when the square of the same number is divided by 5?
Answer: D
Let the number be N. We have \(N \equiv 3 \pmod{5}\). We need to find the remainder of \(N^2 \pmod{5}\). We can simply square the remainder: \(3^2 = 9\). Now, find the remainder of \(9 \div 5\). The remainder is 4.