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Subjects
Class 10MathematicsReal NumbersEuclid’s Division LemmaMediumLevel 3

Which statement is correct according to Euclid’s division lemma?

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Answer and explanation

Correct answer: Every positive integer (a) can be written as (bq+r) where (0 \le r < b)

Step 1: The main form of Euclid’s division lemma is (a=bq+r). Step 2: The remainder is greater than or equal to (0) and less than the divisor. Step 3: In theory questions, remembering the range of the remainder is important.

Tags

real-numberstheoryeuclid-division-lemma

Frequently asked questions

What is the correct answer to this question?

Every positive integer (a) can be written as (bq+r) where (0 \le r < b)

Why is this the correct answer?

Step 1: The main form of Euclid’s division lemma is (a=bq+r). Step 2: The remainder is greater than or equal to (0) and less than the divisor. Step 3: In theory questions, remembering the range of the remainder is important.

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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