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Subjects
Class 10MathematicsReal NumbersEuclid’s Division LemmaHardLevel 2
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According to Euclid’s division lemma, what are the correct quotient and remainder when 1025 is divided by 84?

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Answer and explanation

Correct answer: (q=12, r=17)

Step 1: Find the nearest lower multiple of 84 below 1025. Step 2: (84\times12=1008), so the remainder is (1025-1008=17). Step 3: The final remainder must be less than 84 for the form to be valid.

Related tags

Euclids-Division-LemmaReal-NumbersClass-10Hard

Frequently asked questions

What is the correct answer to this question?

(q=12, r=17)

Why is this the correct answer?

Step 1: Find the nearest lower multiple of 84 below 1025. Step 2: (84\times12=1008), so the remainder is (1025-1008=17). Step 3: The final remainder must be less than 84 for the form to be valid.

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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