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Class 10MathematicsReal NumbersEuclid’s Division LemmaEasy
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In Euclid’s Division Lemma, if (a) and (b) are positive integers, which condition is correct for the remainder (r)?

Answer and explanation

Correct answer: (0 \le r < b)

Step 1: Euclid’s Division Lemma writes (a=bq+r). Step 2: The remainder is always at least zero and less than the divisor. Step 3: In exams, always check the range of the remainder.

Related tags

Real NumbersEuclid Division LemmaRemainderEuclid’s Division LemmaEuclid S Division LemmaMathematicsClass 10 Mcq
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10 more MCQs
  1. 1If (35=6q+r) and (0 \le r < 6), what are the values of (q) and (r)?
  2. 2Which is the standard form of Euclid’s Division Lemma?
  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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