Question

Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are
1 point
(1) 0, 1, 8
(2) 1, 4, 8
(3) 0, 1, 3
(4) 1, 3, 5

Answer 1

0, 1, 8

let the positive integer be 1,2,3.....

1³ = 1 divided by 9 the remainder is 1

2³ = 8 divided by 9 the remainder is 8

3³ = 27 divided by 9 the remainder is 0

.....

.....

50³ = 125000 divided by 9 the remainder is 8