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Subjects
Class 10MathematicsReal NumbersEuclid’s Division LemmaExpertLevel 2

If a number leaves remainder 12 when divided by 61, what is the remainder when eleven times the number is divided by 61?

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Answer and explanation

Correct answer: 10

Step 1: For eleven times the number, the remainder part is (11\times12=132). Step 2: (132=61\times2+10), so the final remainder is 10. Step 3: After multiplication, reduce the result by the divisor to make a valid remainder.

Tags

euclids-division-lemmamultiple-remainderexpert

Frequently asked questions

What is the correct answer to this question?

10

Why is this the correct answer?

Step 1: For eleven times the number, the remainder part is (11\times12=132). Step 2: (132=61\times2+10), so the final remainder is 10. Step 3: After multiplication, reduce the result by the divisor to make a valid remainder.

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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