Medium Mathematics Chapter 1: Real Numbers Class 10 Level 4

यदि (a=bq+r) में (b=21) है, तो (r) के लिए सही शर्त कौन-सी है?

If (b=21) in (a=bq+r), which condition is correct for (r)?

Explanation opens after your attempt
Correct Answer

A. \(0 \le r < 21\)

Step 1

Concept

In Euclid’s division lemma, the remainder may start from (0).

Step 2

Why this answer is correct

The remainder is always less than the divisor (21), so \(0 \le r < 21\) is correct.

Step 3

Exam Tip

Never take the remainder equal to the divisor. चरण 1: यूक्लिड विभाजन प्रमेय में शेषफल (0) से शुरू हो सकता है। चरण 2: शेषफल हमेशा भाजक (21) से छोटा होगा, इसलिए \(0 \le r < 21\) सही है। चरण 3: शेषफल को कभी भी भाजक के बराबर न मानें।

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The correct answer is A. \(0 \le r < 21\).

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