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Class 10 Mathematics Real Numbers Euclid’s Division LemmaExpertLevel 1

If (a=42q+31), what is the remainder when (8a) is divided by 42?

Answer and explanation

Correct answer: 38

Step 1: The remainder of (a) is 31. Step 2: For (8a), check (8\times31=248). Step 3: (248=42\times5+38), so the remainder is 38.

Tags

euclids-division-lemmamultiple-remainderexpert

Frequently asked questions

What is the correct answer to this question?

38

Why is this the correct answer?

Step 1: The remainder of (a) is 31. Step 2: For (8a), check (8\times31=248). Step 3: (248=42\times5+38), so the remainder is 38.

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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