If (105) is written in the form (105=13q+r), what are (q) and (r)?
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Answer and explanation
Correct answer: (q=8, r=1)
Step 1: (13 \times 8=104), the closest smaller multiple of (13) to (105). Step 2: (105-104=1), so (q=8) and (r=1). Step 3: In such questions, the remainder must not be negative or greater than the divisor.
Frequently asked questions
What is the correct answer to this question?
(q=8, r=1)
Why is this the correct answer?
Step 1: (13 \times 8=104), the closest smaller multiple of (13) to (105). Step 2: (105-104=1), so (q=8) and (r=1). Step 3: In such questions, the remainder must not be negative or greater than the divisor.
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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