Quant interview questions

16 questions · Clear filters

• What is C(10, 0)+C(10, 2)+C(10, 4)+C(10, 6)+C(10, 8)+C(10, 10)?Counting and combinatorics · Foundation
• You allocate 10 identical lots across 4 accounts, and an account may receive none.Counting and combinatorics · Applied · Free solution
• How many five-digit numbers have strictly increasing digits from left to right…Counting and combinatorics · Applied
• Seven distinct balls go into three distinct boxes, and no box may be left empty.Counting and combinatorics · Advanced
• A four-bead necklace uses beads of two colours, and two necklaces count as the…Counting and combinatorics · Expert
• Which of these identities requires the variables to be independent?Probability · Applied
• A single-elimination tournament has 16 equally skilled teams, pairing randomly each round.Probability · Applied
• A single-elimination tournament starts with n equally skilled teams, pairing…Probability · Applied
• A team wins each game of a best-of-seven series independently with probability 0.6.Probability · Applied
• Flipping a fair coin, which takes longer on average: the first occurrence of…Probability · Advanced
• How many fair coin flips are needed on average to first see the pattern HTH?Probability · Advanced
• 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
• You have two identical eggs and a 100-floor building, and want the highest…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
• 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