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Subjects
Class 10MathematicsReal NumbersEuclid’s Division LemmaExpertLevel 1

If a number leaves remainder 9 when divided by 52, what is the remainder when nine times the number is divided by 52?

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Answer and explanation

Correct answer: 29

Step 1: For nine times the number, the remainder part is (9\times9=81). Step 2: (81=52+29), so the final remainder is 29. 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?

29

Why is this the correct answer?

Step 1: For nine times the number, the remainder part is (9\times9=81). Step 2: (81=52+29), so the final remainder is 29. 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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