Question

in Euclid's division lemma, the value of r, when a positive integer a is divided by 3, are 0 and 1 only. Is the statement true or false? Justify your answer.
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Answer 1

SOLUTION:

The given statement the values of remainder r ,when a positive integer a is divided by 3,are 0 and 1 only is FALSE. According to Euclid's division Lemma, a = b q+ r

Here, b = 3

a = 3 q + r,

Where 0 ≤ r < 3 and r is an integer.

Therefore , the values of r can be zero ( 0 ) , one ( 1 ) or two ( 2 ).

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