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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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