Interview questions
Brain Teasers quant interview questions
53 interview-style brain teasers problems, ordered from easy to hard.
Brain teasers remain part of many quant trading interviews because they reveal how you think when there is no formula to reach for. Typical problems involve logic puzzles, weighing and switching problems, clever invariants, estimation questions and games where you must find a winning strategy. Interviewers care less about the final answer than about a structured approach: simplify, try small cases, look for symmetry and explain your reasoning clearly. This collection groups classic-style teasers written as original QuantSolve problems, from quick warm-ups to multi-step puzzles. Each free problem has hints that nudge rather than spoil, plus a clean worked solution. Practising them builds the calm, systematic habits that also help with probability, expected value and market making questions under pressure.
Practice Brain Teasers interactivelyEasy (14)
- Three Switches, One Visit · Logic Puzzles
- Eight Balls, One Heavy · Weighing
- Burning Ropes for 45 Minutes · Timing Puzzles
- Four Liters From 3 and 5 · Jug Puzzles
- Snail in a Well · Classic Puzzles
- Clock Angle at 3:15 · Clocks
- Machines and Widgets · Rates
- Bat and Ball · Classic Puzzles
- Three Sandwiches, Two Fathers, Two Sons · Logic Puzzles
- Doubling Lily Pads · Exponential Growth
- 19 Times 21 · Mental Math
- Fifteen Percent of 240 · Mental Math
- 48 Squared · Mental Math
- One Eighth as a Percent · Mental Math
Medium (26)
- Finding a Heavier Coin Among Nine · Information / Search
- Twelve Coins Lower Bound · Weighing
- Eighty-One Coins, One Light · Weighing
- Twenty-Seven Coins, One Heavy · Weighing
- Sixteen Bottles, One Round · Information
- One Hundred Lockers · Number Theory
- Mutilated Chessboard · Invariants
- Matching Socks · Pigeonhole
- Shared Birth Month · Pigeonhole
- Overlapping Clock Hands · Clocks
- Squares in a Grid · Counting
- Bridge and Flashlight · Optimization Puzzles
- Twenty-Five Horses · Optimization Puzzles
- Two Eggs, Thirty-Six Floors · Optimization Puzzles
- Two Black, Two White Hats · Logic Puzzles
- Painted 4x4x4 Cube · Counting
- Party Handshakes · Counting
- One Liter From 3 and 5 · Jug Puzzles
- Three Pizza Cuts · Geometry
- A Slow Clock · Clocks
- Unpainted Cubes in 3x3x3 · Counting
- 997 Times 1003 · Mental Math
- 125 Times 64 · Mental Math
- One Seventh to Three Decimals · Mental Math
- Up 20 Then Down 20 · Mental Math
- Difference of Squares · Mental Math
Hard (13)
- Two Fragile Objects, One Hundred Floors · Search Strategy
- Survivor of the Josephus Circle · Recursion
- One Hundred Prisoners and Boxes · Permutations
- The Last Airplane Seat · Probability Puzzles
- One Thousand Bottles · Information
- Toggling the Divisors of 60 · Number Theory
- Taking 1 to 3 Stones From 21 · Games
- Taking 1 to 4 Stones From 100 · Games
- Diagonals of a 20-gon · Counting
- Necklace With One Red Bead · Counting
- Chords of Ten Points · Geometry
- Removing Opposite Colours · Invariants
- 999 Squared · Mental Math