Trader trainee Interview Questions

You have 25 horses and can race 5 of them at a time. What is the minimum number of races required in order to find the three fastest horses?

Equity Trader

Interviewed at Trillium Trading

3.8★

Oct 19, 2014

You have 25 horses and can race 5 of them at a time. What is the minimum number of races required in order to find the three fastest horses?

You are 2 points down in a basketball match....if you shoot for a 2 pointer you have a 33 percent chance of scoring and the game goes to overtime. If you shoot for 3 you have a 25 percent chance of scoring ....if the game goes to overtime you have a 50 percent chance of winning....which shot should you go for?

Assistant Trader

Interviewed at Susquehanna International Group

3.8★

Jan 10, 2012

You are 2 points down in a basketball match....if you shoot for a 2 pointer you have a 33 percent chance of scoring and the game goes to overtime. If you shoot for 3 you have a 25 percent chance of scoring ....if the game goes to overtime you have a 50 percent chance of winning....which shot should you go for?

You are the captain of a submarine. You have two torpedoes. Each torpedo hits a ship independently with probability 1/3. What's the probability you will hit a ship?

Assistant Trader

Interviewed at Susquehanna International Group

3.8★

Jun 9, 2010

You are the captain of a submarine. You have two torpedoes. Each torpedo hits a ship independently with probability 1/3. What's the probability you will hit a ship?

-If the radius of a sphere is expanding at a rate of 4 metres/second, and the starting radius is 0.25 metres, what is the volume of the sphere after 2 1/2 minutes? -if the mean of X=4 and the variance of X is 9, and the mean of Y=5 and the variance of Y is 16, what is the standard deviation of X + Y given a relationship of -3/8 (x to y)? - there are 3 faucets. Faucet #1 can fill a sink in 20 min, F#2 can fill a sink in 12 min, and F#3 can fill a sink in 5 min. If all 3 faucets are running at the same time, how long will it take for the sink to fill?

Junior Trader

Interviewed at TransMarket Group

4.1★

Feb 12, 2014

-If the radius of a sphere is expanding at a rate of 4 metres/second, and the starting radius is 0.25 metres, what is the volume of the sphere after 2 1/2 minutes? -if the mean of X=4 and the variance of X is 9, and the mean of Y=5 and the variance of Y is 16, what is the standard deviation of X + Y given a relationship of -3/8 (x to y)? - there are 3 faucets. Faucet #1 can fill a sink in 20 min, F#2 can fill a sink in 12 min, and F#3 can fill a sink in 5 min. If all 3 faucets are running at the same time, how long will it take for the sink to fill?

Calculate the chance of throwing 5 coins and there are at least 3 in row

Junior Trader

Interviewed at TransMarket Group

4.1★

Oct 20, 2014

Calculate the chance of throwing 5 coins and there are at least 3 in row

I play a game where I start with a score of 100. I then flip 10 coins in a row. Every time I get a head I add 1 to my score. When I get a tails I take the reciprocal of my score. If you are running this game, and people are given their score in pounds at the end of the game, how much would you charge people to play?

Quantitative Trader

Interviewed at Jane Street

4.4★

Mar 29, 2019

I play a game where I start with a score of 100. I then flip 10 coins in a row. Every time I get a head I add 1 to my score. When I get a tails I take the reciprocal of my score. If you are running this game, and people are given their score in pounds at the end of the game, how much would you charge people to play?

What is the probability of getting the same number on the spin of a roulette wheel, when a fair dice is thrown, and when one card if picked from a deck of cards?

Assistant Trader Intern

Interviewed at Jane Street

4.4★

Feb 17, 2015

What is the probability of getting the same number on the spin of a roulette wheel, when a fair dice is thrown, and when one card if picked from a deck of cards?

two packs of poker, one has 52, the other has 104. You pick two cards separately from a same pack. If both of two cards are red,you win.which pack will you choose?

Trader

Interviewed at Jane Street

4.4★

Apr 7, 2011

two packs of poker, one has 52, the other has 104. You pick two cards separately from a same pack. If both of two cards are red,you win.which pack will you choose?

If you have four coins and I have four. We both throw the four and if your four sides equal to mine, I will give you 2 dollar and otherwise you give me 1. Will you do it?

Assistant Trader

Interviewed at Jane Street

4.4★

Oct 22, 2012

If you have four coins and I have four. We both throw the four and if your four sides equal to mine, I will give you 2 dollar and otherwise you give me 1. Will you do it?

4 coins, I flip them, give you dollar for each heads. How would you pay to play? What if I give you the option to reflip any coin? What if I make you reflip?

Trader

Interviewed at Jane Street

4.4★

Feb 11, 2013

4 coins, I flip them, give you dollar for each heads. How would you pay to play? What if I give you the option to reflip any coin? What if I make you reflip?

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