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Class 10MathematicsReal NumbersEuclid’s Division LemmaEasy
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If (35=6q+r) and (0 \le r < 6), what are the values of (q) and (r)?

Answer and explanation

Correct answer: (q=5, r=5)

Step 1: Dividing (35) by (6) gives quotient (5). Step 2: (6 \times 5=30) and (35-30=5), so the remainder is (5). Step 3: The remainder is less than (6), so it is valid.

Related tags

Division LemmaQuotientRemainderEuclid’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. 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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