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Subjects
Class 10MathematicsReal NumbersEuclid’s Division LemmaHardLevel 3
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A number leaves remainder 41 when divided by 42. What is the remainder when 85 is added to the number and the result is divided by 42?

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Answer and explanation

Correct answer: 0

Step 1: The original remainder is 41. Step 2: (85) leaves remainder 1 on division by 42, so total remainder (41+1=42), which becomes 0. Step 3: When adding a large number, first find its smaller remainder.

Related tags

Euclids-Division-LemmaRemainder-AdditionLarge-Number

Frequently asked questions

What is the correct answer to this question?

0

Why is this the correct answer?

Step 1: The original remainder is 41. Step 2: (85) leaves remainder 1 on division by 42, so total remainder (41+1=42), which becomes 0. Step 3: When adding a large number, first find its smaller remainder.

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. 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. 9How many possible remainders are there when a number is divided by (3)?
  10. 10If a number is odd, what remainder will it leave when divided by (2)?
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