Math Interview Questions

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Which is larger: pi^e or e^pi?
6 hours ago
Continue the sequence 4, 2, 3, 6.5, 16, 44, ? Options: 137, 142, 129, 132, 133.
3 years ago
Next term: A, C, E, G, ? ; M, V, E, M, J, S, ? ; F, S, T, F, F, S, ? ; M, J, J, A, S, O, ? ; M, A, M, J, J, ? ; 1, -1, 3, -2, 5, -3, 7, ? ; 12, 1112, 3112, 132112, ?
4 years ago
Find the next term: (a) 1/2, 1/3, 1/6, 1/18, 1/108, ... (b) 1/1, 1/2, 1/3, 1/5, 1/8, ... (c) 1, 16, 7, 100, 13, ... (d) 2, 3, 5, 7, 11, 13, ...
6 hours ago
Given a table of powers of 2, estimate a range for 14^7 / 5^3.
6 hours ago
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What is 72 x 73?
6 hours ago
Mentally: what is the smallest multiple of 77 above 70,000, and above 700,000? What are the first five decimal digits of 1/13? What is the square root of 30,000?
6 hours ago
Several random variables all have the same pairwise correlation rho. What values can rho take, for three variables and for n variables?
+16 hours ago
A car drives three laps of a track at 100 mph, 150 mph and 200 mph. What is its average speed over the three laps?
6 hours ago
What is the angle between the hour and minute hands at 3:15?
6 hours ago
Using mental arithmetic only, what is the last digit of 2 to the power 5104?
6 hours ago
For every integer from 0 to 10^100 - 1, take the product of its non-zero digits, counting the product for 0 as 1. What is the last digit of the sum of these products?
6 hours ago
Find the eigenvalues and eigenvectors of the n x n matrix whose diagonal entries are all n and whose off-diagonal entries are all 1.
6 hours ago
There are three random variables A, B and C. corr(A,B) = 0.6 and corr(A,C) = 0.8. What range of values can corr(B,C) take?
6 hours ago
The three distinct entries of a 2 x 2 symmetric matrix are drawn independently from the uniform distribution on [-60, 60]. What is the expected determinant?
6 hours ago
n stocks all have the same volatility and the same pairwise correlation. What are the eigenvalues of their daily covariance matrix?
2 years ago
You build the covariance matrix of returns for 1,000 stocks, many of them correlated. What is the problem with it, and how do you deal with it?
4 years ago
Given a set of real numbers, which point on the real line minimises the sum of distances to all of them?
6 hours ago
Corr(X,Y) = 0.9 and Corr(Y,Z) = 0.8. What are the minimum and maximum possible values of Corr(X,Z)?
6 hours ago
A and B are covariance matrices. Is A + B a covariance matrix? Is A^2? Is the product AB?
6 hours ago

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Math Interview Questions

Which is larger: pi^e or e^pi?

Continue the sequence 4, 2, 3, 6.5, 16, 44, ? Options: 137, 142, 129, 132, 133.

Next term: A, C, E, G, ? ; M, V, E, M, J, S, ? ; F, S, T, F, F, S, ? ; M, J, J, A, S, O, ? ; M, A, M, J, J, ? ; 1, -1, 3, -2, 5, -3, 7, ? ; 12, 1112, 3112, 132112, ?

Find the next term: (a) 1/2, 1/3, 1/6, 1/18, 1/108, ... (b) 1/1, 1/2, 1/3, 1/5, 1/8, ... (c) 1, 16, 7, 100, 13, ... (d) 2, 3, 5, 7, 11, 13, ...

Given a table of powers of 2, estimate a range for 14^7 / 5^3.

What is 72 x 73?

Mentally: what is the smallest multiple of 77 above 70,000, and above 700,000? What are the first five decimal digits of 1/13? What is the square root of 30,000?

Several random variables all have the same pairwise correlation rho. What values can rho take, for three variables and for n variables?

A car drives three laps of a track at 100 mph, 150 mph and 200 mph. What is its average speed over the three laps?

What is the angle between the hour and minute hands at 3:15?

Using mental arithmetic only, what is the last digit of 2 to the power 5104?

For every integer from 0 to 10^100 - 1, take the product of its non-zero digits, counting the product for 0 as 1. What is the last digit of the sum of these products?

Find the eigenvalues and eigenvectors of the n x n matrix whose diagonal entries are all n and whose off-diagonal entries are all 1.

There are three random variables A, B and C. corr(A,B) = 0.6 and corr(A,C) = 0.8. What range of values can corr(B,C) take?

The three distinct entries of a 2 x 2 symmetric matrix are drawn independently from the uniform distribution on [-60, 60]. What is the expected determinant?

n stocks all have the same volatility and the same pairwise correlation. What are the eigenvalues of their daily covariance matrix?

You build the covariance matrix of returns for 1,000 stocks, many of them correlated. What is the problem with it, and how do you deal with it?

Given a set of real numbers, which point on the real line minimises the sum of distances to all of them?

Corr(X,Y) = 0.9 and Corr(Y,Z) = 0.8. What are the minimum and maximum possible values of Corr(X,Z)?

A and B are covariance matrices. Is A + B a covariance matrix? Is A^2? Is the product AB?

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