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Subjects
Class 10MathematicsReal NumbersEuclid’s Division LemmaHardLevel 2

If (a=24q+17), what is the remainder when (5a) is divided by 24?

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Answer and explanation

Correct answer: 13

Step 1: The remainder of (a) is 17. Step 2: For (5a), compute (5\times17=85), and (85=24\times3+13). Step 3: After multiplication, the remainder must be reduced below the divisor.

Tags

euclids-division-lemmamultiple-remainderhard

Frequently asked questions

What is the correct answer to this question?

13

Why is this the correct answer?

Step 1: The remainder of (a) is 17. Step 2: For (5a), compute (5\times17=85), and (85=24\times3+13). Step 3: After multiplication, the remainder must be reduced 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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