Trader Assistant Interview Questions

578 trader assistant interview questions shared by candidates

Every morning, Mike the security guard at CP high school opens all 1000 doors in the building. Let's assume the doors are numbered 1-1000. The next security guard closes all even numbered doors. The third security guard touches all doors that are multiples of 3. If a door is open, he'll close it and vice versa. The fourth guard changes the position of every fourth door (if it's open he'll close it etc.,) and the fifth guard changes the position of every fifth door and so on, until the 1000th guard changes only door 1000. HOW MANY DOORS ARE LEFT OPEN IN THE END?
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Assistant Trader

Interviewed at Susquehanna International Group

3.8
Jul 22, 2015

Every morning, Mike the security guard at CP high school opens all 1000 doors in the building. Let's assume the doors are numbered 1-1000. The next security guard closes all even numbered doors. The third security guard touches all doors that are multiples of 3. If a door is open, he'll close it and vice versa. The fourth guard changes the position of every fourth door (if it's open he'll close it etc.,) and the fifth guard changes the position of every fifth door and so on, until the 1000th guard changes only door 1000. HOW MANY DOORS ARE LEFT OPEN IN THE END?

I flip a coin three times, and then another three times. If the number of heads is the same the first and second time, I win. If the number of heads is different, then I win. If I win, you pay me one dollar. If you win, I give you 3 dollars. Is this game worth playing?
avatar

Assistant Trader

Interviewed at Susquehanna International Group

3.8
Feb 15, 2011

I flip a coin three times, and then another three times. If the number of heads is the same the first and second time, I win. If the number of heads is different, then I win. If I win, you pay me one dollar. If you win, I give you 3 dollars. Is this game worth playing?

If we play a game in which Player 1 picks a number 1-11, and then player 2 can add 1-11 to that (i.e. player 1 picks 5, player 2 can add to make it 6-16), what is the strategy to win this game if Player 1 wants to make 60?
avatar

Assistant Trader

Interviewed at Susquehanna International Group

3.8
May 4, 2011

If we play a game in which Player 1 picks a number 1-11, and then player 2 can add 1-11 to that (i.e. player 1 picks 5, player 2 can add to make it 6-16), what is the strategy to win this game if Player 1 wants to make 60?

You know there are 2 boys and an unknown number of girls in a nursery at a hospital. Then a woman gives birth a baby, but you dont know its gender, and it is placed in the nursery. Then a nurse comes in a picks up a baby and it is a boy. Given that the nurse picks up a boy, what is the probability that the woman gave birth to a boy? (Hint, it does not matter how many girls are in the nursery to begin with)
avatar

Assistant Trader

Interviewed at Susquehanna International Group

3.8
May 4, 2011

You know there are 2 boys and an unknown number of girls in a nursery at a hospital. Then a woman gives birth a baby, but you dont know its gender, and it is placed in the nursery. Then a nurse comes in a picks up a baby and it is a boy. Given that the nurse picks up a boy, what is the probability that the woman gave birth to a boy? (Hint, it does not matter how many girls are in the nursery to begin with)

You own land that may or may not have oil underneath. If it does have oil it is worth 100k (20% prob), if it doesn't it is worth 30k. What is the expected value of the land? How much would you sell a contract for this land with a strike of 40k?
avatar

Assistant Trader

Interviewed at Susquehanna International Group

3.8
Mar 29, 2011

You own land that may or may not have oil underneath. If it does have oil it is worth 100k (20% prob), if it doesn't it is worth 30k. What is the expected value of the land? How much would you sell a contract for this land with a strike of 40k?

You dip a cube into paint and pull it out. Then you cut it into a 27 sub-cubes and put them in a bag. If you randomly pick a sub-cube out the bag and roll it on the table, what is the probability that no paint is visible?
avatar

Assistant Trader

Interviewed at Jane Street

4.4
Jan 27, 2012

You dip a cube into paint and pull it out. Then you cut it into a 27 sub-cubes and put them in a bag. If you randomly pick a sub-cube out the bag and roll it on the table, what is the probability that no paint is visible?

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