Quant interview questions

1,322 questions · page 6 of 34

• 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
• You hold a flush draw after the flop: nine cards complete it and 47 are unseen.Games, decision theory and puzzles · Applied
• When is a game-theory-optimal strategy the wrong choice against a specific opponent?Games, decision theory and puzzles · Applied
• Nim with piles of 3, 4 and 5: you move first and the player taking the last counter wins.Games, decision theory and puzzles · Applied
• In a sealed-bid auction where the winner pays the second-highest bid, what should you bid?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
• Two ropes each burn for exactly sixty minutes, but not at a uniform rate.Games, decision theory and puzzles · Applied
• You may roll a fair die up to three times and are paid the face value of the…Games, decision theory and puzzles · Applied
• A fair coin is flipped until the first tail.Games, decision theory and puzzles · Applied
• A six-chamber revolver holds two bullets in adjacent chambers.Games, decision theory and puzzles · Applied
• 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
• Four people must cross a bridge at night with one torch.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
• Pennies with uneven stakes, part 2 of 3Games, decision theory and puzzles · Applied
• Three heaps of Nim, part 2 of 3Games, decision theory and puzzles · Applied
• A die game with paid re-rolls, part 2 of 3Games, decision theory and puzzles · Applied
• Hiring the best candidate, part 2 of 3Games, 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