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Top Quant Interview Questions at Graviton Research Capital

In this article, we will delve deep into some classic quant interview questions frequently asked at Graviton and similar firms, thoroughly explaining the concepts, solutions, and reasoning behind each one.

You have two strings. Each string, when lit at one end, takes exactly one hour to burn completely. However, the rate at which each string burns is completely random and non-uniform; in other words, halfway along the string does not necessarily correspond to half an hour. The only property you know is that each string will take exactly one hour to burn from one end to the other. How can you use these two strings to measure exactly 45 minutes?

This is a classic logic puzzle that tests your ability to work with unreliable resources. The key is to realize that although the burn rate is random, the total burn time from end to end is reliable: exactly 1 hour for each string.