PDF chapter test TRY NOW

1. Prove that the product of two consecutive positive integers is divisible by \(2\).
 
2. When the positive integers \(a\), \(b\) and \(c\) are divided by \(13\), the respective remainders are \(9\), \(7\) and \(10\). Show that \(a + b + c\) is divisible by \(13\).
 
3. Prove that the square of any integer leaves the remainder either \(0\) or \(1\) when divided by \(4\).
 
Important!
This is a self-assessment task. Solve this question and assess the solution steps after completing the test on your own.