Quant interview questions
1,322 questions in the style trading and research firms ask, from probability and brainteasers to options, statistics and coding. Every question is open to read; the 50 in the free sample show their worked solutions here.
389 questions · page 2 of 10 · Clear filters
- What is the coefficient of x³y⁵ in the expansion of (2x−y)⁸?Counting and combinatorics · Applied
- Eight traders are paired up for a desk-swap day, four pairs in all, and the…Counting and combinatorics · Applied
- Five points are placed anywhere in a 1 × 1 square.Counting and combinatorics · Applied
- Candidate A finishes with a votes and candidate B with b < a.Counting and combinatorics · Advanced
- You are paid the face value of one roll of a fair six-sided die. What is a fair price?Probability · Foundation
- X and Y are independent standard normals. What is Pr(Y > 3X)? Give a decimal.Probability · Foundation
- Three independent draws are made from the uniform distribution on [0,1].Probability · Foundation
- In Texas Hold'em you are dealt two cards from a standard deck.Probability · Foundation
- You roll a fair six-sided die, then choose whether to re-roll once.Probability · Applied
- In Monty Hall, suppose the host does not know where the prize is and opens a…Probability · Applied
- Five independent draws are made from the uniform distribution on [0,1].Probability · Applied
- Two independent draws are made from the uniform distribution on [0,1].Probability · Applied
- You simulate a fair seven-sided die by rolling a fair six-sided die twice and…Probability · Applied
- Three cards: one red on both sides, one red on one side and black on the other…Probability · Applied
- Two fair dice are rolled and you are told at least one shows a six.Probability · Applied
- How many people are needed before the probability that two share a birthday…Probability · Applied
- Orders arrive as a Poisson process averaging four per minute.Probability · Applied
- Cereal boxes each contain one of ten equally likely coupons.Probability · Applied
- How many flips of a fair coin are needed, on average, to see three heads in a row?Probability · Applied
- A fair six-sided die is rolled six times.Probability · Applied
- You roll a fair die until the first six. What is the variance of the number of rolls?Probability · Applied
- Thirty people are in a room and birthdays are uniform over 365 days.Probability · Applied
- You may re-roll a fair hundred-sided die as often as you like, paying $1 each time.Probability · Advanced
- In the law of total variance, what does the term Var(𝔼[X|Y]) measure?Probability · Advanced
- Derive the value of the game in which you may re-roll a fair n-sided die as…Probability · Advanced
- How many fair coin flips are needed on average to first see the pattern HTH?Probability · Advanced
- A stock at $100 follows a lognormal with zero expected return and 20% annual volatility.Probability · Advanced
- You choose the pattern HHH and your opponent, choosing afterwards, picks THH.Probability · Expert
- Twenty-one matches, players alternate taking one, two or three, and whoever…Games, decision theory and puzzles · Foundation
- Two players take turns adding a whole number from 1 to 10 to a running total…Games, decision theory and puzzles · Foundation
- The pot holds $150 including your opponent’s bet, and you must call $50.Games, decision theory and puzzles · Foundation
- What is the angle, in degrees, between the hour and minute hands of a clock at 3:15?Games, decision theory and puzzles · Foundation
- You roll a fair die and may re-roll once, keeping the second value if you do.Games, decision theory and puzzles · Applied · Free solution
- In the secretary problem, what is the probability the optimal policy finds the…Games, decision theory and puzzles · Applied
- Twelve coins, one counterfeit and either heavier or lighter.Games, decision theory and puzzles · Applied
- In a zero-sum game, what characterises your opponent’s optimal mixing frequencies?Games, decision theory and puzzles · Applied
- You have two eggs and a 100-storey building.Games, decision theory and puzzles · Applied
- A hundred closed doors.Games, decision theory and puzzles · Applied
- Everyone names a number in [0,100] and whoever is closest to two thirds of the…Games, decision theory and puzzles · Applied
- Twenty-five horses, a track that races five at a time, and no timing device.Games, decision theory and puzzles · Applied