Quant Guide
Quant traders and quant researchers both face challenging interviews that test far more than basic math. These selected problems guide quants to practice the concepts that matter most. Unlike discretionary traders, quant traders rely on mathematical models and coding rather than intuition. Their interviews emphasize fast problem-solving with probability puzzles, brainteasers, math challenges, and coding tasks. Quant researchers focus more deeply on models and longer-term projects, which is why their knowledge of statistics, linear algebra, and advanced programming is assessed.
307 questions in this plan
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Brain Teasers
34 questions
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| Question | Subcategory | Difficulty | Status |
| 100 Light Bulbs | Symmetry | Medium | |
| Back to Starting Point | Logical | Medium | |
| Birthday Puzzle #2 | Logical | Hard | |
| Calendar Dice | Out of the Box | Medium | |
| Clocks and Hands | Logical | Medium | |
| Door to Offer | Out of the Box | Hard | |
| Escape Plan | Out of the Box | Medium | |
| Farmers' Land | Logical | Medium | |
| First Person to Say 50 | Logical | Medium | |
| Fishermen | Logical | Hard | |
| Fox vs. Duck | Logical | Medium |
Example
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| Horse Race | Logical | Medium | |
| House of Cards | Summation | Easy | |
| How Many Twos | Simplification | Medium | |
| Infinite Chessboard | Out of the Box | Hard | |
| Knights and Knaves | Logical | Easy | |
| Pirates Dividing a Treasure | Simplification | Medium |
Example
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| Prisoner Problem #1 | Modular | Hard | |
| Prisoner Problem #2 | Modular | Hard | |
| Rabbit Climbing the Stairs | Logical | Easy | |
| Salary Voting | Logical | Medium | |
| Sandglass | Logical | Medium | |
| Subset of Numbers | Logical | Hard | |
| Tennis Match Mystery | Logical | Hard | |
| The King's Party | Out of the Box | Medium |
Example
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| The Last Chocolate Game | Logical | Hard | |
| Trailing Zeros | Logical | Medium | |
| Transfer 3000 Apples | Logical | Hard | |
| Two Glass Balls | Summation | Medium | |
| Waiting for the Train | Logical | Medium | |
| Water and Wine | Logical | Easy | |
| Water Jugs | Logical | Medium | |
| Weighing Blocks | Logical | Easy | |
| Which Day | Logical | Hard | |
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Probability and Statistics
110 questions
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| Question | Subcategory | Difficulty | Status |
| 100-Sided Die | Expected Value | Hard | |
| 230 Heads | General | Medium | |
| Aces for All | Combinatorial Analysis | Easy | |
| Animal Migrations | Markov Chain Probability | Easy | |
| Are We There Yet | Game Theory | Medium | |
| Athletic Cats | Conditional Probability | Medium | |
| Basketball Practice #1 | Expected Value | Medium | |
| Basketball Practice #2 | Expected Value | Hard | |
| Beach Carts | Game Theory | Easy | |
| Beat the Odds | Game Puzzle | Hard | |
| Beta Gap | General | Medium | |
| Biased Coin #1 | Expected Value | Medium | |
| Biased Coin #2 | Expected Value | Easy | |
| Biased Coin #3 | Expected Value | Easy | |
| Biased Coin #4 | Expected Value | Medium | |
| Bold Betting Strategy | Markov Chain Probability | Medium | |
| Building the Book | Game Theory | Medium | |
| Bullseye Bet | Expected Value | Medium | |
| Candle Batch | General | Medium | |
| Capsule Colors | Expected Value | Easy | |
| Challenger's Gambit | Game Theory | Medium | |
| Cherry Streak | General | Medium | |
| Coefficient of Variation | Expected Value | Hard | |
| Coin Toss #1 | Conditional Probability | Medium | |
| Correlation Flip | General | Medium | |
| Covariance Ceiling | General | Easy | |
| Diagonal Duel | General | Medium | |
| Diamond Variance | Expected Value | Medium | |
| Dice Game #1 | Expected Value | Hard | |
| Dice Game #2 | Expected Value | Hard | |
| Dice vs Coins | Expected Value | Medium | |
| Dice With Same Numbers | Expected Value | Medium |
Example
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| Dominant Game | Markov Chain Probability | Hard | |
| Drunk Student #2 | Expected Value | Medium | |
| Engine or Wheels | Conditional Probability | Easy | |
| Escape the Square | Markov Chain Probability | Hard | |
| Exponential Distribution #1 | Expected Value | Medium | |
| Exponential Distribution #2 | General | Medium | |
| Faster Sixes | Expected Value | Hard | |
| First to Heads | Conditional Probability | Medium | |
| Five Deck Straight | Combinatorial Analysis | Medium | |
| Flip 4 Coins | Expected Value | Medium | |
| Flowers in Bloom | Expected Value | Medium | |
| Four Digit Difference | General | Hard | |
| Four Fives #1 | General | Easy | |
| Four Fives #2 | General | Easy | |
| Free Ticket | Expected Value | Hard | |
| Going to the Beach #2 | General | Hard | |
| Half the Average | Game Theory | Medium | |
| Heavier Side | Combinatorial Analysis | Medium | |
| Higher Card | General | Medium | |
| How Many Children | General | Hard | |
| How Many Pairs | Combinatorial Analysis | Hard | |
| Jumping Robots | General | Hard | |
| Latency Arms Race | Game Theory | Easy | |
| Meeting Your Friend | Combinatorial Analysis | Medium | |
| Mismatched Dice | General | Easy | |
| Old Phone #2 | General | Medium | |
| Old Scale | Combinatorial Analysis | Easy | |
| Optimal Spread | General | Hard | |
| Overbooked Flight | Combinatorial Analysis | Medium | |
| Painted Cube | Conditional Probability | Hard | |
| Parking Meter | Markov Chain Probability | Easy | |
| Picking Balls #2 | Combinatorial Analysis | Medium | |
| Picking Balls #3 | Combinatorial Analysis | Medium | |
| Picking Tiles | Markov Chain Probability | Easy | |
| Quoting Duel | Game Theory | Medium | |
| Racing Cars | Conditional Probability | Medium | |
| Radar Sweep | General | Medium | |
| Random Ant | Markov Chain Probability | Medium |
Example
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| Redundant Quote | Game Theory | Hard | |
| Region Spinner | Markov Chain Probability | Easy | |
| Remaining Coins | Expected Value | Medium | |
| Rising Chips | Combinatorial Analysis | Medium | |
| Running Rabbit | Combinatorial Analysis | Medium | |
| Second Heads | Conditional Probability | Medium | |
| Specific Card #2 | Combinatorial Analysis | Medium | |
| Spin in Two Regions | Expected Value | Medium | |
| Spread Truce | Game Theory | Hard | |
| Stop Sign Stroll | Markov Chain Probability | Medium | |
| Subset Makes Six | Combinatorial Analysis | Hard | |
| Sum Seventeen | Combinatorial Analysis | Hard | |
| Surprise Headliner | Conditional Probability | Medium | |
| Ten Cards, No King | Combinatorial Analysis | Easy | |
| Tennis Game | General | Medium |
Example
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| Tennis Match: Win in 2 or 3 Sets | General | Medium | |
| Tennis Odds | Game Puzzle | Hard | |
| The Drunkard's Walk | Markov Chain Probability | Hard | |
| The Highest Face | Expected Value | Medium | |
| Three Blue Orbs | Expected Value | Medium | |
| Three Cards Difference | Combinatorial Analysis | Hard | |
| Throw a 6 #2 | Expected Value | Medium | |
| Throw a 6 #3 | Expected Value | Hard | |
| Throw Until Matched | Expected Value | Medium |
Example
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| Top 2000 Songs | Markov Chain Probability | Medium | |
| Treasure Bearing | General | Medium | |
| Triple Match | Combinatorial Analysis | Medium | |
| Twice as Likely | Conditional Probability | Medium | |
| Two Consecutive Fives | Expected Value | Medium | |
| Two Dice Difference | Expected Value | Easy | |
| Two Hues Left | Expected Value | Hard | |
| Two Rolls Payoff | Expected Value | Easy | |
| Unfair Heads #2 | Conditional Probability | Medium | |
| Uniform Distribution #1 | Expected Value | Hard | |
| Vacant Room | Conditional Probability | Hard | |
| Wheel of Eights | Combinatorial Analysis | Medium | |
| Which Die Was It | Conditional Probability | Medium | |
| Who Calls the Landlord | Game Theory | Hard | |
| Whose Turn Is It | Game Theory | Easy | |
| Widening Wheel | Expected Value | Hard | |
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Programming
54 questions
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| Question | Subcategory | Difficulty | Status |
| All Pairs | Array and List Processing | Easy |
Example
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| All Permutations | Array and List Processing | Medium | |
| All Vowels | String Manipulation | Easy | |
| Arithmetic Mean | Array and List Processing | Hard | |
| Balanced Brackets | Other | Easy | |
| Binary Search Tree (BST) | Array and List Processing | Hard | |
| Circular Queue Implementation | Other | Hard | |
| Common Prefix Algorithm | String Manipulation | Medium | |
| Consecutive Letters | String Manipulation | Medium | |
| Counting Inversions | Array and List Processing | Hard | |
| Counting Islands | Graphs | Medium | |
| Count Number of Homogenous Substrings | String Manipulation | Medium | |
| Course Schedule | Graphs | Hard | |
| Crate Loading | Array and List Processing | Easy | |
| Dijkstra's Algorithm #1 | Graphs | Hard |
Example
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| Dijkstra's Algorithm #2 | Graphs | Hard | |
| Drawing a Blue 3 | Mathematical Problems | Medium | |
| Empty Number of Boxes | Mathematical Problems | Medium | |
| Evaluate RPN | Other | Medium | |
| Fewest Coins | Mathematical Problems | Medium | |
| Find All Paths | Graphs | Hard | |
| Finding the Largest Possible Number | Array and List Processing | Easy | |
| Find the Missing Number | Array and List Processing | Easy | |
| Group Anagrams | String Manipulation | Medium | |
| Hex Word | String Manipulation | Easy | |
| Last Node of Singly Linked List | Other | Medium | |
| Linked List Cycle | Other | Medium | |
| Longest Common Subsequence (LCS) | Array and List Processing | Medium |
Example
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| Longest Increasing Subsequence | Array and List Processing | Hard | |
| Longest Run of Distinct Characters | String Manipulation | Medium | |
| Majority Element | Array and List Processing | Medium | |
| Maximum Subarray Sum | Array and List Processing | Medium | |
| Minimum Spanning Tree (MST) | Graphs | Hard | |
| Optimal Stopping Strategy | Mathematical Problems | Medium | |
| Palindrome Checker | String Manipulation | Medium | |
| Pricing Accuracy | Mathematical Problems | Medium | |
| Prime Number Generator | Mathematical Problems | Medium | |
| Priority Queue Using Heaps | Other | Hard |
Example
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| Reverse a Linked List | Other | Easy | |
| Roulette Table | Mathematical Problems | Medium | |
| Search a Rotated Array | Array and List Processing | Medium | |
| Settling Array | Array and List Processing | Medium | |
| Smallest String | String Manipulation | Easy | |
| Sorting Without Sort() | Array and List Processing | Hard | |
| Streaming Median | Other | Hard | |
| Subarray Sum Equals Zero | Array and List Processing | Medium | |
| Sudoku | Array and List Processing | Hard | |
| Summing Up Strings #1 | String Manipulation | Hard | |
| Summing Up Strings #2 | String Manipulation | Hard | |
| Top 2000 Songs | Mathematical Problems | Medium | |
| Validate a BST | Other | Medium | |
| Weather API Data Analyzer | Other | Hard | |
| Word Frequency | String Manipulation | Easy | |
| Words in a String | String Manipulation | Medium | |
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Math Questions
23 questions
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|---|---|---|---|
| Question | Subcategory | Difficulty | Status |
| Boats on a River | General | Hard | |
| Choosing Blocks | General | Easy | |
| Escalator Steps | General | Medium |
Example
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| Fly vs Ant | General | Medium | |
| How Many Dogs | General | Medium | |
| Inflate Rate | General | Hard |
Example
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| Jumping Frog | General | Medium | |
| Magic 37 | General | Hard | |
| Number of Pigs | General | Easy |
Example
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| Product of Unknowns #1 | Solving Unknowns | Hard | |
| Radius of a Circle | General | Hard | |
| River Length #1 | General | Medium | |
| River Length #2 | General | Medium | |
| Sequences | General | Easy | |
| Set of Distinct Integers | General | Easy | |
| Sharing a Glass | General | Easy | |
| Sheep Runs Home | General | Hard | |
| Spread Set | General | Hard | |
| Squares On Chessboard | General | Medium | |
| System of Weights | Solving Unknowns | Medium | |
| Triangle on Circle | General | Medium | |
| Unfolded Box | General | Hard | |
| Upstream or Downstream | General | Medium | |