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.
496 questions · page 1 of 13 · Clear filters
- Five people each take one of five coats at random.Counting and combinatorics · Applied
- How many sequences of four opening and four closing brackets are balanced…Counting and combinatorics · Applied
- How many rectangles, of any size, can be traced along the grid lines of an 8 ×…Counting and combinatorics · Applied
- Evaluate the sum of the squares of the fifth row of Pascal’s triangle, Σ_(k = 0)⁵C(5, k)².Counting and combinatorics · Applied
- Five distinct orders are routed to three venues, and every venue must receive…Counting and combinatorics · Applied
- How many solutions are there to x₁+x₂+x₃+x₄ = 12 with each xᵢ an integer from 0 to 5?Counting and combinatorics · Advanced
- In how many ways can a convex hexagon be cut into triangles by non-crossing diagonals?Counting and combinatorics · Advanced
- Ten people leave hats at a cloakroom and the hats are returned in a uniformly random order.Probability · Applied
- A disease affects 1 person in 1000.Probability · Applied
- You have rolled a fair die twelve times without seeing a six.Probability · Applied
- You have $10 and your opponent has $90.Probability · Applied
- You start with $10 against an opponent with $90, flipping a fair coin for $1.Probability · Applied
- Four independent exponential variables each have rate 2.Probability · Applied
- You have a uniform random number generator and need draws from a distribution…Probability · Applied
- Orders arrive as a Poisson process averaging four per minute.Probability · Applied
- What upper bound does Chebyshev’s inequality place on Pr(|X−μ|≥ 3σ)?Probability · Applied
- For a positive random variable X that is not constant, how do 𝔼[1/X] and 1/𝔼[X] compare?Probability · Applied
- How many flips of a fair coin are needed, on average, to see three heads in a row?Probability · Applied
- You roll a fair die until the first six. What is the variance of the number of rolls?Probability · Applied
- Four independent uniforms are drawn on [0,1].Probability · Applied
- Ten orders are sent at random to ten venues, each venue equally likely for every order.Probability · Applied
- A stock is equally likely to be a low-volatility name with daily return…Probability · Advanced
- A coin is drawn at random: with probability 1/2 it is fair, otherwise it lands…Probability · Advanced
- A coin lands heads with probability 0.6.Probability · Advanced
- You price by Monte Carlo using antithetic pairs whose payoffs correlate at −0.5.Probability · Advanced
- A symmetric random walk starts at the origin.Probability · Advanced
- X and Y are independent standard normals.Probability · Advanced
- Roll a die to get N, then roll N further dice and add them up.Probability · Advanced
- The same walk – symmetric, starting at 0, stopped at +3 or −2.Probability · Advanced
- Assets A and B correlate at 0.8, and B and C also at 0.8.Probability · Expert
- You draw independent uniforms on [0,1] until their running sum exceeds one.Probability · Expert
- You estimate π by drawing points uniformly in the unit square and counting the…Probability · Expert
- In the secretary problem, what is the probability the optimal policy finds the…Games, decision theory and puzzles · Applied
- You have two eggs and a 100-storey building.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
- One of 1000 bottles of wine is poisoned, and the poison kills within a day.Games, decision theory and puzzles · Applied
- On the island of blue-eyed logicians, everyone can already see that someone has blue eyes.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
- In Chomp, players alternately bite a square from a rectangular chocolate bar…Games, decision theory and puzzles · Advanced