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.
282 questions · page 3 of 8 · 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
- Two players each wear a red or blue hat chosen by coin flip.Games, decision theory and puzzles · Applied
- One of 1000 bottles of wine is poisoned, and the poison kills within a day.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
- One hundred prisoners stand in a line, each wearing a black or white hat.Games, decision theory and puzzles · Advanced
- A hundred ants are placed at random on a stick one metre long, each facing a…Games, decision theory and puzzles · Advanced
- Twenty counters are on the table.Games, decision theory and puzzles · Advanced
- In Chomp, players alternately bite a square from a rectangular chocolate bar…Games, decision theory and puzzles · Advanced
- What does the Sprague–Grundy theorem say about impartial games under normal play?Games, decision theory and puzzles · Expert
- One hundred prisoners each open fifty of one hundred boxes to find their own…Games, decision theory and puzzles · Expert
- A shuffled deck of 26 red and 26 black cards is turned over one card at a time.Games, decision theory and puzzles · Expert
- Two limit orders rest on the bid at the same price.Market making · Foundation
- Make a market on the product of two fair dice. What is your theoretical value?Market making · Foundation
- Ignore fees, inventory risk and risk aversion entirely.Market making · Applied
- A coin lands heads with probability 0.65 and pays even money.Market making · Applied
- You post on both sides of a $99.98 at $100.02 market on a venue paying a $0.002…Market making · Applied
- The market is $99.98 at $100.02 and you lift the offer.Market making · Applied
- Make a ninety per cent market on the sum of ten fair dice.Market making · Applied
- What is your theoretical value for the maximum of three fair six-sided dice, to…Market making · Applied
- You are long a large position and want to shed it. What is the right quote adjustment?Market making · Applied
- Over a quoting round you buy 10 lots at 99 and sell 5 at 103.Market making · Applied
- You are short $475 of cash and long 5 lots after a round of quoting.Market making · Applied
- A bet wins with probability 0.55 and pays two to one.Market making · Applied
- Make a market on the number of different faces that show when three fair dice are rolled.Market making · Applied
- A value will move up or down with equal probability.Market making · Applied
- You are already heavily short and a counterparty you believe is well informed…Market making · Advanced
- In Kyle’s model, what determines how much the price moves per unit of net order flow?Market making · Advanced