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Class 10 Mathematics Real Numbers Euclid’s Division LemmaExpertLevel 2

If (u=18q+11), what is the remainder when (u^2-u) is divided by 18?

Answer and explanation

Correct answer: 2

Step 1: The remainder of (u) is 11. Step 2: The remainder of (u^2-u) comes from (11^2-11=110). Step 3: (110=18\times6+2), so the remainder is 2.

Tags

euclids-division-lemmaexpression-remainderexpert

Frequently asked questions

What is the correct answer to this question?

2

Why is this the correct answer?

Step 1: The remainder of (u) is 11. Step 2: The remainder of (u^2-u) comes from (11^2-11=110). Step 3: (110=18\times6+2), so the remainder is 2.

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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