Probability and statistics. Estimation. Game theory. Mock trading. Risk assessment. Arbitrage.
Quantitative Developer Interview Questions
10,229 quantitative developer interview questions shared by candidates
Throw 1,000 fair coins, what's the possibility of getting even number of heads?
Given one hundred cards with numbers 1-100 on each card and two baskets. Throw each of these cards with 50% of probability falling in the left basket and 50% to the right. What is the expected value of the minimum number in the left basket.
Two dice rolling questions, angle of clock hands, expected value of 20 faced dice.
The problem was to create a heap, where you could add elements and remove the top element, with the contraints that the top-most element had to always be less than the top most element in the left child tree, and less than the top most element in the right child tree, and that the left child tree had to have as many or one more element than the right child tree. Furthermore, there was a "min" function (returns the value at the top of the tree) and an empty function (returns an empty tree). The interview started using a collabedit software tool where the interviewer and I could rapidly write and exchange code. Having not been comfortable with the syntax and structure of OCaml, I noted that the person who set up the interview told me it wasn't a requirement, but I was told to carry on in OCaml. With all that said, my preoccupation with not knowing the syntax led me to make simple functional mistakes, the interview took longer than expected, and after a week of waiting for a response, I was rejected. The code I'm attaching is a combination of what we did through the interview, and what I finished off in my own time (my_merge, create_tree)
Average speed of a race car
Say you have a list of numbers, how would you output a list that eliminates repeating occurrences of the numbers? What is the time complexity of the method? Can you do better?
Online exam consisted of 4 very basic probability/expected value questions. Selecting prime numbers and probabilities of their sum having a certain value, coin tossing games, optimal strategy in a black jack style coin problem. Phone interview consisted of a brain teaser where a system of linear equations were expected to form and solve, and a deck of card problems, and a game where you exhaust a deck of cards and get +1 or -1 dollars depending on the outcome and given rules, and you have to determine the expected p&l in this game.
They asked basic background stuff and then got into technical math questions. It was quite a challenge.
Decompose 300,000 into prime factors, then arrange the resulting digits into the smallest possible number.
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