Question

Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are

Options

• 0, 1, 8

• 1, 4, 8

• 0, 1, 3

• 1, 3, 5

Answer 1

 0, 1, 8

Explanation;

Hint:

Cube of any positive integers 1³, 2³, 3³, 4³, ...

1, 8, 27, 64, 125, 216 …

Remainders when 27, 64, 125 are divided by 9.