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Class 10MathematicsReal NumbersEuclid’s Division LemmaEasy
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How many possible remainders are there when a number is divided by (3)?

Answer and explanation

Correct answer: (3)

Step 1: The divisor is (3), so possible remainders are (0,1,2). Step 2: There are (3) such remainders. Step 3: For divisor (b), there are (b) possible remainders.

Related tags

Possible RemaindersDivision By 3Basic ConceptEuclid’s Division LemmaEuclid S Division LemmaReal NumbersMathematicsClass 10 Mcq
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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. 3Which is the standard form of Euclid’s Division Lemma?
  4. 4If a number leaves remainder (0) when divided by (9), in which form can it be written?
  5. 5What possible remainders can occur when an integer is divided by (5)?
  6. 6What is the remainder when (52) is divided by (7)?
  7. 7Which condition is necessary for (b) in Euclid’s Division Lemma?
  8. 8If (a=17) and (b=4), which is the correct Euclidean form (a=bq+r)?
  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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