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Question

According to Euclid's division lemma, if a and b are two positive integers with a>b, then which of the following is true? (Here, q and r are unique integers.)


A

b=aq+r where 0r<a

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B

a=bq+r where 0r<b

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C

a=b+r where 0r<a

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D

a=b×r where 0r<b

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Solution

The correct option is B

a=bq+r where 0r<b


Euclid's division lemma states that for positive integers a and b, where (a>b), there exist unique integers q and r such that a=b×q+r, where 0r<b.


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