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Repeated Rolling
3 Parts
Statistics
Difficulty
3/10
Author: OpenQuant
"Suppose a game has you roll a fair six-sided die repeatedly, until you first encounter a number..."
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Four of a Kind
1 Part
Probability
Difficulty
2/10
Author: OpenQuant
"What is the probability of drawing a 4 of a kind from a standard 5-card hand?"
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Number of Runs
2 Parts
Statistics
Difficulty
3/10
Author: OpenQuant
"Imagine you are given a standard deck of 52 cards (half of the cards are red and the other half..."
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2D Grid Game
2 Parts
Discrete Math
Difficulty
4/10
Author: OpenQuant
"You are playing a 2D game where your character is trapped within a 6×6 grid. Your character starts.."
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River Crossing
1 Part
Brainteaser
Difficulty
2/10
Author: OpenQuant
"A farmer is on his way back from the market, with him he has a fox, a chicken, and some grain. When "
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First to 50
1 Part
Brainteaser
Difficulty
3/10
Author: OpenQuant
"Bob and Jill are playing a competitive game in which they take turns calling out numbers. The..."
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Four Integers
1 Part
Discrete Math
Difficulty
2/10
Author: OpenQuant
"We have 4 positive integers A, B, C, and D. We know AB = 16, BC = 14, and CD = 63. What is ..."
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Heaviest Coin
1 Part
Brainteaser
Difficulty
2/10
Author: OpenQuant
"You are given 9 coins and one old-fashioned balance scale. All coins weigh the same, except ..."
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Hungry Truck Driver
1 Part
Brainteaser
Difficulty
5/10
Author: OpenQuant
"A truck driver has been tasked with transporting 3000 apples between towns A and B, ..."
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Three Sticks
1 Part
Probability
Difficulty
5/10
Author: OpenQuant
"Assume you are given a stick that is 1 meter in length. Randomly select 2 points on the stick and..."
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Drinking Dan
1 Part
Brainteaser
Difficulty
1/10
Author: OpenQuant
"Dan has 2 glasses. The first glass was 3/4 full of water while the second was empty. He then ..."
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Dice Game 1
1 Part
Probability
Difficulty
3/10
Author: OpenQuant
"Two players take turns rolling two six-sided dice. Player A goes first, followed by player B ..."
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Three Rings
2 Parts
Probability
Difficulty
5/10
Author: OpenQuant
"You are shooting arrows at a target with three rings: there is a circle with a 4 inch ..."
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Ten Floor Building
1 Part
Probability
Difficulty
4/10
Author: OpenQuant
"A building has 10 floors above the basement. If 12 people get into an elevator ..."
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Eight of Hearts
1 Part
Probability
Difficulty
4/10
Author: Shehruz Khan
"You take a standard shuffled deck of cards and keep flipping them over until the first ..."
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Race to Ace
1 Part
Probability
Difficulty
2/10
Author: OpenQuant
"What is the expected number of cards you need to get from a 52-card deck before you see ..."
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Same Birthday
2 Parts
Probability
Difficulty
2/10
Author: OpenQuant
"If you have 365 people in a room, what is the likelihood that at least 2 of them have ..."
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Exactly 6
1 Part
Probability
Difficulty
3/10
Author: OpenQuant
"If I roll a die 36 times, what is the probability that each number appears exactly 6 times?"
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Dot Placement
1 Part
Probability
Difficulty
1/10
Author: OpenQuant
"You place three dots along the edges of a octagon at random. What is the probability that all ..."
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Disease Incidence
3 Parts
Statistics
Difficulty
3/10
Author: OpenQuant
"A certain disease has an incidence rate of 2%. If the false negative rate is 10% and the false ..."
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Ascending Dice Rolls
1 Part
Probability
Difficulty
2/10
Author: OpenQuant
"You throw three fair dice consecutively. What is the probability that you obtain three numbers in..."
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Ant Journey
1 Part
Brainteaser
Difficulty
2/10
Author: OpenQuant
"An ant sits at one corner of a unit cube, wishing to travel to the corner farthest from it. What ..."
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Grand Slam Tournament
1 Part
Probability
Difficulty
3/10
Author: OpenQuant
"In Wimbledon, 128 players with a distinct ranking compete to win a Grand Slam tennis title. Assume.."
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Multiple of Six
1 Part
Probability
Difficulty
2/10
Author: OpenQuant
""You roll a fair six-sided and sum the outcomes until you reach a multiple of 6. What is the ...""
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Portfolio Manager
2 Parts
Brainteaser
Difficulty
3/10
Author: OpenQuant
"You are the portfolio manager of a fund worth $75 million. Your fund has 5 possible asset classes..."
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Grid Fill
1 Part
Brainteaser
Difficulty
2/10
Author: OpenQuant
"You are given a 3 by 3 grid upon which the numbers 1 through 9 are placed. Each number can only..."
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Pirate Loot
1 Part
Brainteaser
Difficulty
2/10
Author: OpenQuant
"5 pirates have looted 100 coins from a tropical island. They must vote on how to divide these ..."
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Linear Regression MLE
1 Part
Machine Learning
Difficulty
9/10
Author: OpenQuant
"Consider the linear regression setting in which you are given a training set ..."
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Optionality
1 Part
Finance
Difficulty
2/10
Author: OpenQuant
"Please complete the following sentences If the close price of ABC at expiration is $20, a $19.50..."
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Ten Topping Sundae
1 Part
Brainteaser
Difficulty
1/10
Author: OpenQuant
"At an ice cream parlor you are presented with 10 toppings to choose from. How many different ..."
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The Lucky Door
3 Parts
Probability
Difficulty
3/10
Author: OpenQuant
"You're on a gameshow and are tasked to choose the lucky door. Behind 1 door is $10,000. The ..."
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Burning Ropes
1 Part
Brainteaser
Difficulty
3/10
Author: OpenQuant
"You have two ropes. Each rope will take exactly 1 hour to burn all the way through. The densities..."
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King Cake
1 Part
Brainteaser
Difficulty
2/10
Author: OpenQuant
"A king wants to hold a festival, for which he has 10 royal cakes. It is brought to his attention ..."
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Find the Variance
1 Part
Statistics
Difficulty
2/10
Author: OpenQuant
"What is the variance of a uniform random variable X with probability density function ..."
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Even Before Odd
1 Part
Probability
Difficulty
4/10
Author: OpenQuant
"Suppose you roll a fair 6-sided die until you've seen all 6 faces. What is the probability you..."
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Dice Games EV
2 Parts
Probability
Difficulty
4/10
Author: OpenQuant
"You are playing a game where two players each roll two dice. If any one die matches the other ..."
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Buy and Sell Stock
1 Part
Algorithmic Programming
Difficulty
2/10
Author: OpenQuant
"You are given an array of stock prices where price[i] is the price of a given stock on the..."
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Expected Value of Highest Die
1 Part
Probability
Difficulty
2/10
Author: OpenQuant
"You roll two dice and select the one with the highest roll. What is the expected value of the die..."
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Most Traded
1 Part
Algorithmic Programming
Difficulty
2/10
Author: OpenQuant
"Given a stream of stock data, create a data structure that can efficiently handle the following ..."
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Forgetting Neighbor
1 Part
Discrete Math
Difficulty
3/10
Author: OpenQuant
"Your neighbor has 3 children and you always forget how old they are. However, you know their ages..."
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Samuel Flips
1 Part
Probability
Difficulty
2/10
Author: OpenQuant
"Samuel flips a fair coin until he lands a tails. By playing this game, Samuel receives a minimum..."
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Perfect Samples
1 Part
Statistics
Difficulty
3/10
Author: OpenQuant
"Assume that you are taking samples of size n from a population. For each sample, let p represent..."
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Consecutive Heads
1 Part
Probability
Difficulty
5/10
Author: OpenQuant
"You have a fair coin. Denote Xi as the number of flips required to see exactly i heads"
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2D Grid Game II
1 Part
Discrete Math
Difficulty
4/10
Author: OpenQuant
"As an extension of 2D Grid Game, this problem introduces a twist where we have power ups to get"
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Sumo Wrestlers
1 Part
Statistics
Difficulty
2/10
Author: OpenQuant
"Two Sumo wrestlers (A and B) have on wrestling match each day for N days. Let Xi denote the..."
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Straddle Strat
2 Parts
Finance
Difficulty
3/10
Author: OpenQuant
"Suppose the price of stock ABC is $62, interest rates and dividends are 0, and we are analyzing ..."
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Spherical Coordinate Variance
1 Part
Statistics
Difficulty
4/10
Author: OpenQuant
" Randomly chose a coordinate (x, y, z) on the unit sphere. What is the variance of the z-coordinate?"
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Top Buyer and Seller
1 Part
SQL
Difficulty
4/10
Author: OpenQuant
"Find the trader who bought and sold the most META stock in the past 30 days. Allow for ties and..."
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Safe Codes
1 Part
Discrete Math
Difficulty
3/10
Author: OpenQuant
"An electronic safe has a three digit code. You are given two hints regarding the code to the..."
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Assign The Quants
1 Part
Discrete Math
Difficulty
4/10
Author: OpenQuant
"There are ten employees who must be assigned to various tasks. Three members will be working... "
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Most Profitable Strategy
1 Part
SQL
Difficulty
4/10
Author: OpenQuant
"A quantitative hedge fund consists of a team of 35 traders. These traders execute trading ..."
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Growing Fund
1 Part
SQL
Difficulty
4/10
Author: OpenQuant
"A multi-billion dollar hedge fund has many subsidiary funds that each have their own investment..."
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Donut Consistency
1 Part
Statistics
Difficulty
2/10
Author: OpenQuant
"A donut shop has 25 different bakers, each of whom bake donuts. Each baker's output is..."
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Nomadic Manager
1 Part
SQL
Difficulty
3/10
Author: OpenQuant
"In New York City, there is a select group of hedge fund managers that cherish any opportunity..."
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More Questions Coming soon...
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