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Quant Researcher Interview Questions from Jane Street

Quantitative researcher interviews at top firms like Jane Street, IMC Trading, and WorldQuant are renowned for their rigorous and intellectually challenging questions. These firms seek candidates with deep mathematical insight, strong problem-solving abilities, and an ability to clearly communicate their reasoning. In this article, we’ll explore and solve some classic quant researcher interview questions - focusing on mathematical reasoning, combinatorics, probability, and stochastic modeling.

Question Restatement: We have two integers \( A \) and \( B \), and we know that the ratio \( \frac{A}{B} \) is in the interval \([0.48, 0.52]\). What are all possible values for \( B \)?

Given that \( A \) and \( B \) are integers, we are to find all possible integer values of \( B \) such that there exists an integer \( A \) with \( 0.48 \leq \frac{A}{B} \leq 0.52 \).