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Subjects
Class 10MathematicsReal NumbersEuclid’s Division LemmaExpertLevel 3

If a number leaves remainder 58 when divided by 59, what remainder will nine times the number leave when divided by 59?

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Answer and explanation

Correct answer: 49

Step 1: For nine times the number, the remainder part is (9\times58=522). Step 2: (522=59\times8+50), so the remainder is 50. Step 3: After multiplication, always reduce the result below the divisor.

Tags

euclids-division-lemmamultiple-remainderexpert

Frequently asked questions

What is the correct answer to this question?

49

Why is this the correct answer?

Step 1: For nine times the number, the remainder part is (9\times58=522). Step 2: (522=59\times8+50), so the remainder is 50. Step 3: After multiplication, always reduce the result below 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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