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Subjects
Class 10MathematicsReal NumbersEuclid’s Division LemmaHardLevel 1

If a number leaves remainder 12 when divided by 13, what is the remainder when three times the number is divided by 13?

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Answer and explanation

Correct answer: 10

Step 1: The number is (13q+12). Step 2: For three times the number, the remainder part is (3\times12=36), and (36=13\times2+10). Step 3: After multiplication, reduce the remainder below the divisor.

Tags

euclids-division-lemmatriple-remainderhard

Frequently asked questions

What is the correct answer to this question?

10

Why is this the correct answer?

Step 1: The number is (13q+12). Step 2: For three times the number, the remainder part is (3\times12=36), and (36=13\times2+10). Step 3: After multiplication, reduce the remainder 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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