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.
245 questions · page 3 of 7 · Clear filters
- In a zero-sum game you and an opponent each show heads or tails.Games, decision theory and puzzles · Applied
- In the ultimatum game one player proposes how to split $100 in whole dollars…Games, decision theory and puzzles · Applied
- On the river the pot is $100 and you bet $50 with a polarised range – hands…Games, decision theory and puzzles · Applied
- After the flop you hold an open-ended straight draw: eight cards complete it…Games, decision theory and puzzles · Applied
- Two players each wear a red or blue hat chosen by coin flip.Games, decision theory and puzzles · Applied
- You may re-roll a fair die as often as you like, free of charge, and are paid…Games, decision theory and puzzles · Advanced · Free solution
- Unlimited re-rolls of a fair die, but each re-roll costs $1 and you are paid…Games, decision theory and puzzles · Advanced
- You have two identical eggs and a 100-floor building, and want the highest…Games, decision theory and puzzles · Advanced
- On the island of blue-eyed logicians, everyone can already see that someone has blue eyes.Games, decision theory and puzzles · Advanced
- A balance, and coins of which exactly one is counterfeit and either heavy or light.Games, decision theory and puzzles · Advanced
- The pot is $100 and your opponent bets $100.Games, decision theory and puzzles · Advanced
- A fair coin is flipped until it lands heads; the game pays $2ᵏ if the first…Games, decision theory and puzzles · Advanced
- Five pirates in strict seniority split one hundred coins.Games, decision theory and puzzles · Advanced
- A company is worth V to its owner, uniform between 0 and 100, and only the owner knows V.Games, decision theory and puzzles · Advanced
- You play rock–paper–scissors for money, except that a win with rock over…Games, decision theory and puzzles · Advanced
- Four dice have faces A = (4,4,4,4,0,0), B = (3,3,3,3,3,3), C = (6,6,2,2,2,2)…Games, decision theory and puzzles · Advanced
- Your opponent bets and you must call $20 to win a pot that now holds $60.Games, decision theory and puzzles · Advanced
- Twenty counters are on the table.Games, decision theory and puzzles · Advanced
- Make a market on the product of two fair dice. What is your theoretical value?Market making · Foundation
- You are flat and showing 99 at 101.Market making · Applied · Free solution
- Ignore fees, inventory risk and risk aversion entirely.Market making · Applied
- A team plays 162 games and you believe they win each with probability 0.5.Market making · Applied
- A coin lands heads with probability 0.65 and pays even money.Market making · Applied
- Make a ninety per cent market on the sum of ten fair dice.Market making · Applied
- A bet wins with probability 0.55 and pays two to one.Market making · Applied
- You make a 95% market on the number of heads in 100 fair coin flips.Market making · Applied
- Your offer is lifted for large size a fraction of a second after a headline you…Market making · Applied
- A value will move up or down with equal probability.Market making · Applied
- You are making a market on the sum of three fair dice.Market making · Applied
- An interviewer asks for a market on the number of hotel rooms in a city you…Market making · Applied
- You have a genuine edge and repeatedly stake three times the Kelly fraction.Market making · Advanced
- You are already heavily short and a counterparty you believe is well informed…Market making · Advanced
- Twenty per cent of your counterparties are informed and cost you 5 cents a…Market making · Advanced
- Two cards are dealt from a standard deck, with ace = 1 up to king = 13.Market making · Advanced
- You are carrying a large long position with no view on direction.Market making · Advanced
- Growth rate as a function of the bet fraction is quadratic near the Kelly optimum.Market making · Advanced
- How are listed equity options typically adjusted for dividends?Markets and products · Applied
- In February 2018 several inverse-VIX products lost almost all their value in a day.Markets and products · Advanced
- A heavily shorted small-cap rises several hundred per cent in days.Markets and products · Advanced
- A 3 × daily leveraged ETF tracks an index with 20% annual volatility.Markets and products · Advanced