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Class 10 Mathematics Real Numbers Euclid’s Division LemmaExpertLevel 1

If (u=15q+8), what is the remainder when (u^2-u) is divided by 15?

Answer and explanation

Correct answer: 11

Step 1: The remainder of (u) is 8. Step 2: The remainder of (u^2-u) comes from (8^2-8=56). Step 3: (56=15\times3+11), so the remainder is 11.

Tags

euclids-division-lemmaexpression-remainderexpert

Frequently asked questions

What is the correct answer to this question?

11

Why is this the correct answer?

Step 1: The remainder of (u) is 8. Step 2: The remainder of (u^2-u) comes from (8^2-8=56). Step 3: (56=15\times3+11), so the remainder is 11.

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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