What is the quotient( $q$ ) and the remainder( $r$ ) when 15 is divided by 5?

q = 2, r = 5

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q = 3, r = 0

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q = 4, r = - 5

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q = 3, r = 5

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Solution

The correct option is B $q = 3, r = 0$
Euclid’s division lemma states that for integers $a$ and $b$ where $a > b,$ there exist unique integers $q$ and $r$ such that $a = b q + r,$ where $0 \leq r < | b | .$
Since $15 = 5 \times 3,$ we have quotient $q = 3,$ and remainder $r = 0.$

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