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Subjects
Class 10MathematicsReal NumbersEuclid’s Division LemmaHardLevel 2

If (a=13q+10) and (b=13p+9), what is the remainder when (ab) is divided by 13?

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Answer and explanation

Correct answer: 12

Step 1: For multiplication, multiply the remainders 10 and 9. Step 2: (10\times9=90), and (90=13\times6+12). Step 3: In products, using remainders instead of whole numbers saves time.

Tags

euclids-division-lemmaproduct-remainderhard

Frequently asked questions

What is the correct answer to this question?

12

Why is this the correct answer?

Step 1: For multiplication, multiply the remainders 10 and 9. Step 2: (10\times9=90), and (90=13\times6+12). Step 3: In products, using remainders instead of whole numbers saves time.

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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