यदि \( \frac{p}{q} \) सरल रूप में है और \(q=2^5\times5^3\times13\), तो दशमलव प्रसार कैसा होगा?

If \( \frac{p}{q} \) is in simplest form and \(q=2^5\times5^3\times13\), what type of decimal expansion will it have?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. असांत आवर्तीNon-terminating recurring

Step 1

Concept

The denominator has (13), a factor other than (2) and (5). So the rational number will have a non-terminating recurring decimal.

Step 2

Why this answer is correct

The correct answer is B. असांत आवर्ती / Non-terminating recurring. The denominator has (13), a factor other than (2) and (5). So the rational number will have a non-terminating recurring decimal.

Step 3

Exam Tip

हर में (13) है, जो (2) और (5) के अलावा गुणनखंड है। इसलिए परिमेय संख्या का दशमलव असांत आवर्ती होगा।

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Mathematics Answer, Explanation and Revision Hints

यदि \( \frac{p}{q} \) सरल रूप में है और \(q=2^5\times5^3\times13\), तो दशमलव प्रसार कैसा होगा? / If \( \frac{p}{q} \) is in simplest form and \(q=2^5\times5^3\times13\), what type of decimal expansion will it have?

Correct Answer: B. असांत आवर्ती / Non-terminating recurring. Explanation: हर में (13) है, जो (2) और (5) के अलावा गुणनखंड है। इसलिए परिमेय संख्या का दशमलव असांत आवर्ती होगा। / The denominator has (13), a factor other than (2) and (5). So the rational number will have a non-terminating recurring decimal.

Which concept should I revise for this Mathematics MCQ?

The denominator has (13), a factor other than (2) and (5). So the rational number will have a non-terminating recurring decimal.

What exam hint can help solve this Mathematics question?

हर में (13) है, जो (2) और (5) के अलावा गुणनखंड है। इसलिए परिमेय संख्या का दशमलव असांत आवर्ती होगा।