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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
Solution
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.
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