Quantitative Interview Questions

10,227 quantitative interview questions shared by candidates

first question - let's play a game where you have ten chips, and you want to split them up into stacks such that you want to maximize your score, which is the product of the size of each stack. what's the best you can do with 10? what about 100 chips? what about N chips arbitrarily large?
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Quantitative Trading Intern

Interviewed at Jane Street

4.4
Feb 13, 2024

first question - let's play a game where you have ten chips, and you want to split them up into stacks such that you want to maximize your score, which is the product of the size of each stack. what's the best you can do with 10? what about 100 chips? what about N chips arbitrarily large?

On the last interview I got this question: Given cards numbered from 1 to 9 all flipped up and two dies. We throw the dies, if the sum of the numbers is greater than 9, we throw again. If the sum is less or equal than 9 we have the following options: -flip down the card with the sum as a number on it or -flip down two cards, showing each thrown number. So if we throw 3 and 4 we can choose to flip down 7 or both 3 and 4. If for example 7 is already flipped then we must flip 3 or 4. Similarly if one of the cards 3 or 4 is flipped then we must choose the sum. If we can't flip down anything the game ends and our score is the number of flipped cards. What is the best strategy?
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Quantitative Researcher Intern

Interviewed at Jane Street

4.4
Nov 12, 2018

On the last interview I got this question: Given cards numbered from 1 to 9 all flipped up and two dies. We throw the dies, if the sum of the numbers is greater than 9, we throw again. If the sum is less or equal than 9 we have the following options: -flip down the card with the sum as a number on it or -flip down two cards, showing each thrown number. So if we throw 3 and 4 we can choose to flip down 7 or both 3 and 4. If for example 7 is already flipped then we must flip 3 or 4. Similarly if one of the cards 3 or 4 is flipped then we must choose the sum. If we can't flip down anything the game ends and our score is the number of flipped cards. What is the best strategy?

Two players each roll a dice. They each win if their number is higher than the other, but they are not obligated to bet. If the first person declines the bet, that round ends. The second person knows whether the first person made a bet or not. Which player has a higher payout?
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Quantitative Trader

Interviewed at Jane Street

4.4
Sep 21, 2024

Two players each roll a dice. They each win if their number is higher than the other, but they are not obligated to bet. If the first person declines the bet, that round ends. The second person knows whether the first person made a bet or not. Which player has a higher payout?

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