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What is the correct remainder when (112) is divided by (15)?
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Answer and explanation
Correct answer: 7
On dividing 112 by 15, \(15 \times 7=105\) and \(112-105=7\). Thus, \(112=15 \times 7+7\), so the remainder is 7. A remainder of 15 is not possible because a remainder must always be less than the divisor. Exam tip: In \(a=bq+r\), always check that \(0\le r<b\).
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
On dividing 112 by 15, \(15 \times 7=105\) and \(112-105=7\). Thus, \(112=15 \times 7+7\), so the remainder is 7. A remainder of 15 is not possible because a remainder must always be less than the divisor. Exam tip: In \(a=bq+r\), always check that \(0\le r<b\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Euclid’s Division Lemma.
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