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Circles in a Ramen Bowl | Quant Interview Questions

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Question: There are 100 noodles in your bowl of ramen. You select two of their ends randomly and connect them, then put the resulting maybe deformed noodle back in the bowl. You repeat the process until there are no ends left to join. On average, how many circles will you create? For simplicity, provide the answer approximated to the closest integer.

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