Quantitative Researcher Interview Questions

2,685 quantitative researcher interview questions shared by candidates

Robot wakes up every morning and does one of the following things with equal (1/4) probability: 1) self-destroys; 2) does nothing; 3) clones himself (so you have 2 robots); 4) clones himself two times (so you have 3 robots). If you have one robot at the start of the first day, what is the probability that, eventually, you will have no robots?
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Quantitative Researcher

Interviewed at Jane Street

4.4
Jul 23, 2012

Robot wakes up every morning and does one of the following things with equal (1/4) probability: 1) self-destroys; 2) does nothing; 3) clones himself (so you have 2 robots); 4) clones himself two times (so you have 3 robots). If you have one robot at the start of the first day, what is the probability that, eventually, you will have no robots?

2) A. 10 ropes, each one has one red end and one blue end. Each time, take out a red and a blue end, make them together. Repeat 10 times. The expectation of the number of loops. B. 10 ropes, no color. All the other remains the same.
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Quantitative Researcher Summer Intern

Interviewed at Jane Street

4.4
Apr 18, 2011

2) A. 10 ropes, each one has one red end and one blue end. Each time, take out a red and a blue end, make them together. Repeat 10 times. The expectation of the number of loops. B. 10 ropes, no color. All the other remains the same.

If you are playing tennis and are at deuce with your rival, how would you choose to proceed? There are two options: keep playing deuce rule until you or your rival wins. Or you play 3 mini points rule, who win 2 points wins the game. Assume you winning rate is 0.7 i.i.d at each point, which rule would you pick?
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Quantitative Researcher

Interviewed at Susquehanna International Group

3.8
Oct 26, 2016

If you are playing tennis and are at deuce with your rival, how would you choose to proceed? There are two options: keep playing deuce rule until you or your rival wins. Or you play 3 mini points rule, who win 2 points wins the game. Assume you winning rate is 0.7 i.i.d at each point, which rule would you pick?

Given three bowls, one with two blue balls, one with two red balls, and one with a red ball and a blue ball, what is the probability of pulling a blue ball from the same bowl given that you have already pulled one blue ball from that bowl?
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Quantitative Researcher

Interviewed at Hudson River Trading

4.1
Apr 9, 2021

Given three bowls, one with two blue balls, one with two red balls, and one with a red ball and a blue ball, what is the probability of pulling a blue ball from the same bowl given that you have already pulled one blue ball from that bowl?

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