Jump Trading Interview Questions
The real Jump Trading quant-interview problems candidates report — coding, probability and expected value — each with a full worked solution.
Inside the Jump Trading interview
Jump Trading is a Chicago-based high-frequency and algorithmic proprietary trading firm whose interviews lean hardest on fast, correct algorithmic coding, sharp probability and expectation, and the low-latency systems instincts that come with building real trading infrastructure.
What they test
The dominant block here is algorithmic coding — stacks and RPN evaluators, interval unions, knapsack and DP, permutation generation, linked-list surgery, and order-book / arbitrage data structures. Sitting alongside it is a deep probability and expectation core (pattern races, optimal stopping, drawing-until-condition, nested random intervals) and a quant-math layer of linear algebra, game theory, and a few options-pricing and stochastic-process questions for the QR loop.
The recurring shapes
Expect a lot of C++ systems detail — virtual destructors, object slicing, shared_ptr cycles, vector reallocation, a hand-rolled std::vector and memory-pool allocator — the kind of thing that matters when you live at the latency frontier. On the math side, expectation via first-step analysis and linearity recurs constantly; a clean template is the expected number of trials until an event of probability p.
How to approach
Treat coding rounds like production: state the data structure, the complexity, and the edge cases before you type, and be ready to defend memory layout and cache behavior. For probability, set up the state space and condition on the first step rather than reaching for a formula. For the QR questions, know eigenvalues, equicorrelation matrices, and Ito's lemma well enough to derive, not just recall.
The mix runs medium-heavy with a substantial hard tail and a band of quick easy warm-ups, mirroring a loop that ramps from fundamentals into genuinely demanding systems and stochastics.
Jump Trading coding questions (41)
- Evaluate a Reverse-Polish-Notation Expression
- RPN Stack Machine with DUP / POP and Error Handling
- Total Length of a Union of Intervals
- Interleave the Digits of Two Numbers
- Largest Number by Rearranging Digits
- k-th Permutation of [1..n] (Factorial Number System)
- Gifts Knapsack (0/1 Maximize Importance)
- Move-to-Zero Turn Game (Steps 1, 2, or x)
- Most Frequent Fraction in Two Arrays
- Largest Subset With Nonzero Bitwise AND
- Longest Increasing Subsequence with Reconstruction
- Trading Signal Pattern Matching to Position Series
- Kruskal's MST with Union-Find
- Breaking shared_ptr Cycles with weak_ptr
- Implement std::vector
- Buy and Sell Stocks with Exact Timing
- Order Book Data Structure and Arbitrage Detection
- C++ unordered_map Default Value Behavior
- Virtual Destructors in C++
- C++ Vector Reallocation Overhead
- Tuple vs. List in Python
- Python Generators
- Python GIL, Concurrency Models, and Code Testing
- Variance-Minimizing Split
- Virtual Dispatch and Object Slicing in C++
- Knapsack-Style Stock Investment
- K-th Smallest Pair Distance
- Longest Substring with at Most K Distinct Characters
- Fast-Doubling Fibonacci with Modular Arithmetic
- Swap k-th and 2k-th Nodes in a Linked List
- Merge Overlapping Intervals
- Generate All Permutations and Combinations
- Count Integers Convertible to a Target by Bit Subsets
- Fixed-Size Memory Pool Allocator
- Membership Testing in a Generalized Linear Recurrence
- Merging Overlapping Intervals
- Reverse Polish Notation to Infix Conversion
- Union Area of Axis-Aligned Rectangles
- K-th Most Frequent Element
- Generate All Permutations
- Add Two Numbers (Linked List)
Jump Trading probability questions (9)
- Probability via Area: Point Above a Parabola in a Unit Circle
- Closest to the Center of a Square
- Probability All Songs by One Artist Precede the Second Song by Another
- Which Pile Did the Timestamp Come From?
- Gambler's Ruin on a Fair Coin
- Pattern Race: HTH vs HHT
- Closer to the Center Than Any Corner
- Flush Draw Probability on the Turn and River
- Bayesian Posterior Calculation
Jump Trading expected value questions (8)
- Standard Deviation of Nested Halving Intervals
- Drawing Balls Until Two Colors Remain
- Nested Random Intervals
- Optimal Stopping for Uniform Draws
- Convergence of a Random Halving-and-Increment Process
- Eigenvalue Moments of a Symmetric Rademacher Matrix
- Expected Rolls Until a Specific Two-Die Pattern Appears
- Expected Coordinates of a Uniform Point Under a Parabola
Jump Trading linear algebra questions (7)
Jump Trading game theory questions (6)
Jump Trading optimization questions (3)
Jump Trading options pricing questions (3)
Jump Trading stochastic processes questions (2)
Jump Trading brain teasers questions (2)
Jump Trading combinatorics questions (2)
Jump Trading machine learning questions (1)
Jump Trading time series questions (1)
Jump Trading market microstructure questions (1)
Jump Trading interview FAQ
What kind of questions does Jump Trading ask in quant interviews?
Candidates most often report coding, probability and expected value questions. This page collects 86 of them, 62 stamped with the month they were last reported — each with a full worked solution.
How hard are Jump Trading interview questions?
The set spans 21 easy, 45 medium and 20 hard problems. Most sit at medium difficulty — solvable in a few minutes with clean reasoning — with a harder tail that rewards knowing the canonical tricks.
How do I prepare for the Jump Trading quant interview?
Work through this set by topic (use the sidebar), starting from your weakest area. 13 problems are free to open with their full solution, so you can judge the quality before anything else. Then walk the full Jump Trading interview guide for the round-by-round funnel and the online assessment.
Are these the actual Jump Trading interview questions?
They are built from candidate-reported Jump Trading questions. We rewrite each prompt for clarity and author the worked solutions ourselves — we don't claim the wording is verbatim, and we never invent questions or recycle generic lists. 62 of 86 carry the month they were last reported.