Tower Research Capital Interview Questions

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548 companies
3 roles
Last updated Nov 2026

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Quantitative Researcher Quantitative Developer Quantitative Trader

Define R^2 in linear regression. What are its largest and smallest possible values, with an intercept and without one?
10 hours ago
Give or identify an example of data that is uncorrelated but not independent.
10 hours ago
What is the difference between a random forest and gradient boosting?
+110 hours ago
A read from main memory is a mov from an address to a register. Describe everything the CPU does on that mov and which parts of the CPU are involved.
5 years ago
Implement an LFU cache.
5 years ago
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getBooks() returns about 1,000 book names in 500 ms and getText(book) returns up to a billion words in a second. How would you answer how often a word appears in a book within 400 microseconds?
4 years ago
Each input line pairs two students, one of whom copied from the other. Output every group of students linked by copying, sorted within each group and ordered by smallest roll number.
10 hours ago
Determine whether an element is present in a matrix whose rows and columns are all sorted.
+310 hours ago
Suppose you run Dijkstra's algorithm on a graph where a path's length is the bitwise XOR of its edge weights instead of their sum. Does it still find the shortest paths?
2 years ago
What are L1 and L2 regularisation, and when would you use each?
+110 hours ago
Explain the best process for feature extraction when you are working under time constraints.
4 years ago
Which exchanges do you trade on?
2 years ago
The three sides of a triangle are measured with noise, but the perimeter is known exactly. How do you estimate the side lengths?
10 hours ago
In an array every element is at most k positions away from where it belongs in sorted order. What is the fastest way to sort it?
+110 hours ago
A strategy has an annual Sharpe ratio of 8 but loses money in an N-day backtest. How many days are needed to reject a Sharpe of 8?
10 hours ago
Given the price history of a stock, how would you tell whether the series is in forward or reversed time order?
10 hours ago
Design a car rental system that can tell whether a new reservation's time interval overlaps an existing reservation.
10 hours ago
Two bullets sit at random in a six-chamber revolver and the first pull is empty. What is the probability the next pull fires? What if the bullets are known not to be adjacent?
10 hours ago
What is the difference between const char* and char const* in C++?
10 hours ago
What happens if several virtual memory pages map to the same physical address? If you write through one and read through another, can the CPU cache return stale data?
5 years ago

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Tower Research Capital Interview Questions

Define R^2 in linear regression. What are its largest and smallest possible values, with an intercept and without one?

Give or identify an example of data that is uncorrelated but not independent.

What is the difference between a random forest and gradient boosting?

A read from main memory is a mov from an address to a register. Describe everything the CPU does on that mov and which parts of the CPU are involved.

Implement an LFU cache.

getBooks() returns about 1,000 book names in 500 ms and getText(book) returns up to a billion words in a second. How would you answer how often a word appears in a book within 400 microseconds?

Each input line pairs two students, one of whom copied from the other. Output every group of students linked by copying, sorted within each group and ordered by smallest roll number.

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

Suppose you run Dijkstra's algorithm on a graph where a path's length is the bitwise XOR of its edge weights instead of their sum. Does it still find the shortest paths?

What are L1 and L2 regularisation, and when would you use each?

Explain the best process for feature extraction when you are working under time constraints.

Which exchanges do you trade on?

The three sides of a triangle are measured with noise, but the perimeter is known exactly. How do you estimate the side lengths?

In an array every element is at most k positions away from where it belongs in sorted order. What is the fastest way to sort it?

A strategy has an annual Sharpe ratio of 8 but loses money in an N-day backtest. How many days are needed to reject a Sharpe of 8?

Given the price history of a stock, how would you tell whether the series is in forward or reversed time order?

Design a car rental system that can tell whether a new reservation's time interval overlaps an existing reservation.

Two bullets sit at random in a six-chamber revolver and the first pull is empty. What is the probability the next pull fires? What if the bullets are known not to be adjacent?

What is the difference between const char* and char const* in C++?

What happens if several virtual memory pages map to the same physical address? If you write through one and read through another, can the CPU cache return stale data?

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