Question

For any integer a and 3 there exists unique integer q and r such that a=3q +r .find the possible value of r

Answer 1

Answer:

The value of r in this case may be 0,1,2

Explanation:

For any integer a and 3 there exists unique integer q and r such that a=3q+r  where remainder will lie from 0 to 3 including 0 excluding 3 mean r will be greater than or equal to 0 but less 3.

Hence, r may be 0,1,2