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Subjects
Class 10MathematicsReal NumbersEuclid’s Division LemmaHardLevel 1

If (a=18q+14) and (b=18p+11), what is the remainder when (a+b) is divided by 18?

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Answer and explanation

Correct answer: 7

Step 1: Add the remainders 14 and 11. Step 2: (14+11=25), and (25=18+7), so the remainder is 7. Step 3: If the sum of remainders exceeds the divisor, reduce it again.

Tags

euclids-division-lemmasum-remainderhard

Frequently asked questions

What is the correct answer to this question?

7

Why is this the correct answer?

Step 1: Add the remainders 14 and 11. Step 2: (14+11=25), and (25=18+7), so the remainder is 7. Step 3: If the sum of remainders exceeds the divisor, reduce it again.

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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