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Subjects
Class 10MathematicsReal NumbersEuclid’s Division LemmaHardLevel 2

If a number leaves remainder 4 when divided by 22, what is the remainder when 7 times the number is divided by 22?

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Answer and explanation

Correct answer: 6

Step 1: For seven times the number, the remainder part is (7\times4=28). Step 2: (28=22+6), so the final remainder is 6. Step 3: If the result after multiplication is greater than the divisor, reduce it.

Tags

euclids-division-lemmamultiple-remainderhard

Frequently asked questions

What is the correct answer to this question?

6

Why is this the correct answer?

Step 1: For seven times the number, the remainder part is (7\times4=28). Step 2: (28=22+6), so the final remainder is 6. Step 3: If the result after multiplication is greater than the divisor, reduce it.

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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