according to Euclid's divison lemma , for positive integer a and 5, if a=5q+r is unique, then r=?
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It tells us about the divisibility of integers. It states that any positive integer ‘a’ can be divided by any other positive integer ‘ b’ in such a way that it leaves a remainder ‘r’.
Euclid's division Lemma states that for any two positive integers ‘a’ and ‘b’ there exist two unique whole numbers ‘q’ and ‘r’ such that , a = bq + r, where 0≤r<b.
Here, a= Dividend, b= Divisor, q= quotient and r = Remainder.
Hence, the values 'r’ can take 0≤r<b.
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