\(\frac{1}{96}\), \(\frac{1}{175}\), \(\frac{1}{224}\), \(\frac{1}{250}\) में किसमें आवर्ती भाग से पहले सबसे अधिक अनावर्ती अंक होंगे?
Among \(\frac{1}{96}\), \(\frac{1}{175}\), \(\frac{1}{224}\), and \(\frac{1}{250}\), which has the most non-repeating digits before the recurring part?
Explanation opens after your attempt
Correct Answer
C. \(\frac{1}{224}\)
Concept
\(224=2^5\cdot 7\), so (5) non-repeating digits appear before the recurring part. For comparison, check the larger power of (2) and (5).
Why this answer is correct
The correct answer is C. \(\frac{1}{224}\). \(224=2^5\cdot 7\), so (5) non-repeating digits appear before the recurring part. For comparison, check the larger power of (2) and (5).
Exam Tip
\(224=2^5\cdot 7\) है इसलिए आवर्ती भाग से पहले (5) अनावर्ती अंक आएँगे। तुलना में (2) और (5) की बड़ी घात देखें।
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