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Quant Researcher Interview Questions from J.P. Morgan

Quantitative Researcher roles at leading institutions like J.P. Morgan are among the most competitive and intellectually demanding in the finance industry. Candidates can expect a wide array of technical and conceptual questions that test their understanding of mathematics, statistics, programming, and finance. In this article, we’ll delve into some real quant researcher interview questions from J.P. Morgan and similar top firms, providing detailed solutions, explanations of the underlying concepts, and practical tips to help you prepare for your next interview.

Given an array of integers, you can increase or decrease any element by 1 in a single operation. Find the minimal number of operations required to make all elements equal.

The problem is a variant of the well-known minimum moves to equal array elements problem. The key insight is that the sum of absolute differences is minimized when all elements are made equal to the median of the array.