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.
1,322 questions · page 3 of 34
- How many solutions are there to x₁+x₂+x₃+x₄ = 12 with each xᵢ an integer from 0 to 5?Counting and combinatorics · Advanced
- How many subsets of {1,2,…,10} contain no two consecutive integers? Count the empty set.Counting and combinatorics · Advanced
- Seven distinct balls go into three distinct boxes, and no box may be left empty.Counting and combinatorics · Advanced
- In how many ways can a convex hexagon be cut into triangles by non-crossing diagonals?Counting and combinatorics · Advanced
- Choosing a committee, part 3 of 3Counting and combinatorics · Advanced
- Hats at a party, part 3 of 3Counting and combinatorics · Advanced
- Walking a grid, part 3 of 3Counting and combinatorics · Advanced
- Counting poker hands, part 3 of 3Counting and combinatorics · Advanced
- A four-bead necklace uses beads of two colours, and two necklaces count as the…Counting and combinatorics · Expert
- The dragon with regrowing heads, part 1 of 3Probability · Foundation
- Two-state weather desk, part 1 of 3Probability · Foundation
- Three quoted horses, part 1 of 3Probability · Foundation
- You are paid the face value of one roll of a fair six-sided die. What is a fair price?Probability · Foundation
- You may re-roll a fair six-sided die as many times as you like, for free, and…Probability · Foundation
- What is the expected number of rolls of a fair six-sided die until the first six?Probability · Foundation
- A game pays $10 if a fair coin lands heads and nothing otherwise.Probability · Foundation
- Let I be 1 when an event A occurs and 0 otherwise. What is 𝔼[I]?Probability · Foundation
- X and Y are independent standard normals. What is Pr(Y > 3X)? Give a decimal.Probability · Foundation
- Calls arrive at an average of 3 per minute.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
- A trade idea works independently with probability 0.25 each time it is tried.Probability · Foundation
- Which bag was it?, part 1 of 3Probability · Foundation
- The gambler with an edge, part 1 of 3Probability · Foundation
- Two forecasts, part 1 of 3Probability · Foundation · Free solution
- The die with a second chance, part 1 of 3Probability · Foundation
- The dragon with regrowing heads, part 2 of 3Probability · Applied
- Two-state weather desk, part 2 of 3Probability · Applied
- Three quoted horses, part 2 of 3Probability · Applied
- You roll a fair six-sided die, then choose whether to re-roll once.Probability · Applied
- Which of these identities requires the variables to be independent?Probability · Applied
- A fair coin is flipped 100 times.Probability · Applied
- Ten people leave hats at a cloakroom and the hats are returned in a uniformly random order.Probability · Applied
- A single-elimination tournament has 16 equally skilled teams, pairing randomly each round.Probability · Applied
- You are asked for the expected number of rolls of a fair die until you see a six.Probability · Applied
- Let X and Y be two independent fair d6 rolls.Probability · Applied
- What is 𝔼[X²] for a single fair six-sided die? Give your answer to two decimal places.Probability · Applied
- Two fair six-sided dice are rolled.Probability · Applied
- A single-elimination tournament starts with n equally skilled teams, pairing…Probability · Applied
- One hundred passengers board a plane with one hundred seats.Probability · Applied