Question

The values of the remainder r, when a positive integer a is divided by 3 are 0 and 1 only. Justify your answer.


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Answer 1

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Step-by-step explanation:

Solution :-

Let a and b be two positive integer such that a>b.

Division lemma there exist positive integer q and r.

When a positive integer a divided by 3,

We find,

a=3q+r , where r greater than or equal to 0 and smaller than or equal to 3.

So, value of r be 0, 1, and 2.

Thus, the remainder when a positive integer 'a' is divided by 3 is 0, 1 or 2.