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Class 10MathematicsReal NumbersEuclid’s Division LemmaEasyLevel 1

Which is the standard form of Euclid’s Division Lemma?

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Answer and explanation

Correct answer: (a=bq+r,\ 0 \le r < b)

Step 1: The lemma uses dividend (a), divisor (b), quotient (q), and remainder (r). Step 2: The correct relation is (a=bq+r). Step 3: Do not forget the condition (0 \le r < b).

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standard formeuclid lemmaclass 10 maths

Frequently asked questions

What is the correct answer to this question?

(a=bq+r,\ 0 \le r < b)

Why is this the correct answer?

Step 1: The lemma uses dividend (a), divisor (b), quotient (q), and remainder (r). Step 2: The correct relation is (a=bq+r). Step 3: Do not forget the condition (0 \le r < b).

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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10 more MCQs
  1. 1In Euclid’s Division Lemma, if (a) and (b) are positive integers, which condition is correct for the remainder (r)?
  2. 2If (35=6q+r) and (0 \le r < 6), what are the values of (q) and (r)?
  3. 3If a number leaves remainder (0) when divided by (9), in which form can it be written?
  4. 4What possible remainders can occur when an integer is divided by (5)?
  5. 5What is the remainder when (52) is divided by (7)?
  6. 6Which condition is necessary for (b) in Euclid’s Division Lemma?
  7. 7If (a=17) and (b=4), which is the correct Euclidean form (a=bq+r)?
  8. 8How many possible remainders are there when a number is divided by (3)?
  9. 9If a number is odd, what remainder will it leave when divided by (2)?
  10. 10Using Euclid’s Division Lemma, in which form can an even number be written?
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