BdMO National 2021 Junior Problem 10

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Anindya Biswas
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BdMO National 2021 Junior Problem 10

Unread post by Anindya Biswas » Mon Apr 12, 2021 12:22 pm

দুটো ধনাত্মক পূর্ণসংখ্যা \(a\) আর \(b\)-এর জন্য
\(b\)-এর সর্বনিম্ন সম্ভাব্য মান কত?

For positive integers $a$ and $b$, \[0<\left\lvert \dfrac{a}{b}-\dfrac{3}{5}\right\rvert\leq\dfrac{1}{150}\]
What is the smallest possible value of $b$?
"If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is."
John von Neumann

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