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If a number leaves remainder 33 when divided by 34, what remainder will five times the number leave when divided by 34?

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Answer and explanation

Correct answer: 29

Step 1: For five times the number, the remainder part is (5\times33=165). Step 2: (165=34\times4+29), so the final remainder is 29. 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?

29

Why is this the correct answer?

Step 1: For five times the number, the remainder part is (5\times33=165). Step 2: (165=34\times4+29), so the final remainder is 29. 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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