MATHEMATICS · Multi-part · CBSE · Mathematics · Number Play · Number Play
Problem
Answer the questions given below:
(i) When an integer is divided by 5, what possible remainders can it leave? Write the integer in an algebraic form for each remainder.
(ii) For each form obtained in part (i), write an expression for the square of the integer.
(iii) From the expressions in part (ii), pick a form that shows the square leaves a remainder of 1 on division by 5. Give one specific numerical example of such an integer, calculate its square, and verify the remainder.