Two Sigma Interview Questions
Practice the exact questions companies are asking right now.
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Predict Bike Dock Demand
You are working on a docked bike-sharing system. Build a model that predicts how many bikes will be checked out from a specific dock in the next hour....
Explain why the t-statistic helps
Suppose you estimate an effect size \(\hat{\beta}\) in a regression model or an A/B test and compute a standard error \(SE(\hat{\beta})\). Explain why...
Evaluate piecewise linear function at x
You are given a polyline defined by n 2D points \((x_i, y_i)\). Connecting consecutive points with straight line segments forms a piecewise linear fun...
Merge Two Sorted Lists
You are given the heads of two singly linked lists, each already sorted in non-decreasing order. Merge them into one sorted linked list and return the...
Why Use a t-Statistic?
In the context of an A/B test or a linear regression, explain why the t-statistic is a useful measure for evaluating whether an estimated effect diffe...
Predict bike demand and avoid overfitting
You are given historical data for a city bike-sharing system. Available fields include station_id, hourly timestamp, number of bike pickups and return...
Maximize profit from one stock trade
Problem You are given an integer array prices where prices[i] is the price of a stock on day i. You may complete at most one transaction: choose a day...
Design features for house price prediction
Scenario You are building a model to predict house sale price from a tabular dataset (similar to typical real-estate datasets). The interviewer expect...
Return sorted values after quadratic transform
Problem You are given a sorted integer array nums (non-decreasing order) and integers a, b, c that define a quadratic function: \[ f(x) = ax^2 + bx +...
Implement merge sort and largest 1-rectangle
The coding round included two algorithm questions: 1. Implement merge sort for an array of integers. Return the sorted array and explain its time and ...
Why is the t-statistic useful
In classical hypothesis testing (e.g., a one-sample or two-sample mean test), explain: Question 1. What is the t-statistic and how is it computed? 2. ...
How to prepare for a hiring manager round
You have an upcoming hiring manager (HM) / behavioral interview round (plus a separate HR round) for a quantitative/tech role. Question 1. What does a...
Merge two sorted lists
Given two sorted lists (arrays) of integers A and B in non-decreasing order, merge them into a single sorted list. Requirements - Output must be sorte...
Derive correlation bounds and omitted-variable bias
Core Statistics Prompt Answer the following related statistics questions. Part A — Pairwise correlation constraints Let \(X, Y, Z\) be random variable...
Evaluate a Piecewise Linear Function
You are given an ordered list of 2D points [(x1, y1), (x2, y2), ..., (xn, yn)]. Connecting each consecutive pair of points forms a piecewise linear fu...
Match readings with latest same-city humidity
Problem You are given two time-sorted lists of sensor readings: - Temperature records: (time, city, reading) - Humidity records: (time, city, reading)...
Implement binary encode/decode with frequency tree
Problem Implement a binary encoding and decoding scheme for strings based on character frequencies (Huffman-like coding). You must implement two funct...
How to forecast bike dock demand
You operate a shared city-bike system. For a given dock (station), you want to predict demand in the next hour. Task Design an approach to predict: - ...
Answer four core statistics questions
Problem set (timed) Answer the following four questions. 1) Covariance of order statistics Let \(X\) and \(Y\) be independent \(\mathrm{Unif}(0,1)\). ...
Add two integer strings using digit-adder
Coding Prompt You are given a helper function: - addDigits(a, b) -> (sumDigit, carry) - a and b are single decimal digits (characters '0'…'9' or int...