D. E. Shaw Interview Questions

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43 questions
548 companies
2 roles
Last updated Nov 2026

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Quantitative Researcher Quantitative Developer

A bowl contains n noodles. You repeatedly pick two free ends at random and tie them together until no free ends remain. What is the expected number of loops?
+110 hours ago
X and Y are independent standard normals. What is P(X > 0 given X + Y > 0)?
10 hours ago
Someone has two children and you learn that one of them is a boy. What is the probability the other is also a boy? What if you learn that one is a boy born on a Tuesday?
+210 hours ago
Regressing Y on X1 alone gives R^2 = 0.01, and regressing Y on X2 alone also gives 0.01. What range of R^2 is possible when Y is regressed on X1 and X2 together?
6 years ago
You regress Y on X, then append a copy of the data so the sample is twice as long and rerun the regression. How do the coefficient, its t-statistic and R^2 change?
+15 years ago
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A household has two children and one of them is a boy. What is the probability both are boys? What if you learn instead that one of the children is called William?
10 hours ago
A cancer test reports positive 95% of the time and negative 5% of the time when the patient has cancer. The next day your result comes back negative. Do you celebrate?
10 hours ago
A frog on a circle of n lily pads jumps each minute to the pad on its left or right, each with probability 1/2. What is the expected number of minutes until it has visited every pad?
4 years ago
Using the last five years of data for a stock, how would you build a model to predict the next day's price?
3 years ago
How many comparisons are needed to find the maximum of an array, and why can it not be done in fewer?
3 years ago
Return the minimum and maximum of two numbers without using if, loops or comparison operators.
10 hours ago
Create a copy of a binary tree in which each node has an extra random pointer to any node.
10 hours ago
How do you think a breakpoint works?
2 years ago
Determine whether an element is present in a matrix whose rows and columns are all sorted.
+310 hours ago
Why do you want to work at this firm, and why this role?
+610 hours ago
How would you estimate the variance of a distribution from a sample?
4 years ago
How would you estimate the sine of a given value without a calculator?
6 years ago
What is the biggest challenge you have overcome?
4 years ago
Write a program that outputs the first n Ramanujan numbers: integers that are a sum of two positive cubes in at least two different ways, such as 1729.
4 years ago
Given two sorted lists, find the median of their combined elements.
5 years ago

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D. E. Shaw Interview Questions

A bowl contains n noodles. You repeatedly pick two free ends at random and tie them together until no free ends remain. What is the expected number of loops?

X and Y are independent standard normals. What is P(X > 0 given X + Y > 0)?

Someone has two children and you learn that one of them is a boy. What is the probability the other is also a boy? What if you learn that one is a boy born on a Tuesday?

Regressing Y on X1 alone gives R^2 = 0.01, and regressing Y on X2 alone also gives 0.01. What range of R^2 is possible when Y is regressed on X1 and X2 together?

You regress Y on X, then append a copy of the data so the sample is twice as long and rerun the regression. How do the coefficient, its t-statistic and R^2 change?

A household has two children and one of them is a boy. What is the probability both are boys? What if you learn instead that one of the children is called William?

A cancer test reports positive 95% of the time and negative 5% of the time when the patient has cancer. The next day your result comes back negative. Do you celebrate?

A frog on a circle of n lily pads jumps each minute to the pad on its left or right, each with probability 1/2. What is the expected number of minutes until it has visited every pad?

Using the last five years of data for a stock, how would you build a model to predict the next day's price?

How many comparisons are needed to find the maximum of an array, and why can it not be done in fewer?

Return the minimum and maximum of two numbers without using if, loops or comparison operators.

Create a copy of a binary tree in which each node has an extra random pointer to any node.

How do you think a breakpoint works?

Determine whether an element is present in a matrix whose rows and columns are all sorted.

Why do you want to work at this firm, and why this role?

How would you estimate the variance of a distribution from a sample?

How would you estimate the sine of a given value without a calculator?

What is the biggest challenge you have overcome?

Write a program that outputs the first n Ramanujan numbers: integers that are a sum of two positive cubes in at least two different ways, such as 1729.

Given two sorted lists, find the median of their combined elements.

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