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Subjects
Class 10MathematicsReal NumbersEuclid’s Division LemmaExpertLevel 2

If a number leaves remainder 11 when divided by 45, what is the remainder when 13 times the number is divided by 45?

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Answer and explanation

Correct answer: 8

Step 1: For thirteen times the number, the remainder part is (13\times11=143). Step 2: (143=45\times3+8), so the final remainder is 8. Step 3: After multiplication, divide the result again by the divisor.

Tags

euclids-division-lemmamultiple-remainderexpert

Frequently asked questions

What is the correct answer to this question?

8

Why is this the correct answer?

Step 1: For thirteen times the number, the remainder part is (13\times11=143). Step 2: (143=45\times3+8), so the final remainder is 8. Step 3: After multiplication, divide the result again by the divisor.

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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