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 1 of 8 · Clear filters
- How many ways can a committee of 3 be chosen from 8 people?Counting and combinatorics · Foundation · Free solution
- Five people sit in a row.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 distinct arrangements are there of the letters in the word BANANA?Counting and combinatorics · Applied
- Five people each take one of five coats at random.Counting and combinatorics · Applied
- A chessboard has two opposite corners removed.Counting and combinatorics · Applied
- A five-card hand is dealt from a standard deck.Counting and combinatorics · Applied
- What does kC(n, k) = nC(n−1, k−1) say, in words?Counting and combinatorics · Applied
- What does the identity Σ_(i = k)ⁿC(i, k) = C(n+1, k+1) say combinatorially?Counting and combinatorics · Applied
- How many integers from 1 to 1000 are divisible by 2, 3 or 5?Counting and combinatorics · Applied
- How many sequences of four opening and four closing brackets are balanced…Counting and combinatorics · Applied
- How many five-card hands from a standard deck contain exactly one pair, and no better?Counting and combinatorics · Applied
- Six people sit at a round table, rotations counted as the same.Counting and combinatorics · Applied
- How many five-digit numbers have strictly increasing digits from left to right…Counting and combinatorics · Applied
- Ten people are available.Counting and combinatorics · Applied
- Six traders drop their badges in a box and each draws one at random.Counting and combinatorics · Applied
- A path from (0,0) to (5,5) takes unit steps right or up.Counting and combinatorics · Advanced
- Candidate A finishes with a votes and candidate B with b < a.Counting and combinatorics · Advanced
- 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
- A four-bead necklace uses beads of two colours, and two necklaces count as the…Counting and combinatorics · Expert
- You are paid the face value of one roll of a fair six-sided die. What is a fair price?Probability · Foundation
- Three independent draws are made from the uniform distribution on [0,1].Probability · Foundation
- 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
- You are asked for the expected number of rolls of a fair die until you see a six.Probability · Applied
- A single-elimination tournament starts with n equally skilled teams, pairing…Probability · Applied
- A 3 × 3 × 3 cube is painted red and cut into 27 unit cubes.Probability · Applied
- In Monty Hall, suppose the host does not know where the prize is and opens a…Probability · Applied
- You have rolled a fair die twelve times without seeing a six.Probability · Applied
- You start with $10 against an opponent with $90, flipping a fair coin for $1.Probability · Applied
- Five independent draws are made from the uniform distribution on [0,1].Probability · Applied
- Four independent exponential variables each have rate 2.Probability · Applied
- Two independent draws are made from the uniform distribution on [0,1].Probability · Applied
- You simulate a fair seven-sided die by rolling a fair six-sided die twice and…Probability · Applied
- Three cards: one red on both sides, one red on one side and black on the other…Probability · Applied