Trading Associate Interview Questions

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A king has 1000 bottles of water, exactly one of which is poisoned. Servants die the day after consuming the poison. The king holds a party and has his servants drink the bottles. The next morning, the king finds out which servants are dead. What is the minimum number of servants that the king needs at the party to determine which bottle is poisoned?
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Trading Associate Intern

Interviewed at Wolverine Trading

4.7
Oct 21, 2012

A king has 1000 bottles of water, exactly one of which is poisoned. Servants die the day after consuming the poison. The king holds a party and has his servants drink the bottles. The next morning, the king finds out which servants are dead. What is the minimum number of servants that the king needs at the party to determine which bottle is poisoned?

1. If there are two basket ball players A and B. Player A scores with a probability of 0.7, B scores with probability 0.3. Both the players can take either 1 shot or 3 shots at the basket. Who should take which option and why?
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Trading Analyst

Interviewed at DRW

4.3
Oct 28, 2012

1. If there are two basket ball players A and B. Player A scores with a probability of 0.7, B scores with probability 0.3. Both the players can take either 1 shot or 3 shots at the basket. Who should take which option and why?

There are 100 prisoners on an island. Starring from Day 1, a guard will play the following game with them. On the n th day, a random prisoner will be brought into a room, which contains a switch that is either on or off. After he left the room, the guard will then ask the prisoner if everybody has been to the room. He can answer either "Yes" or "I dun know". If he answered "yes" and he is correct, everyone is free' otherwise everyone dies. If he answered "I dun know", the game continues: a prisoner will be choosen at random on (n+1)-th day and so on. Now these 100 prisoners are free to meet and discuss a strategy on the night of 0th day. Afterwards they will not be able to see anyone else at all. No other communcation is possible except the binary switch in the room. Is there a sure-fire strategy to free all of them?
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Junior Proprietary Trading Intern

Interviewed at D. E. Shaw & Co. - Investment Firm

3.8
Feb 24, 2013

There are 100 prisoners on an island. Starring from Day 1, a guard will play the following game with them. On the n th day, a random prisoner will be brought into a room, which contains a switch that is either on or off. After he left the room, the guard will then ask the prisoner if everybody has been to the room. He can answer either "Yes" or "I dun know". If he answered "yes" and he is correct, everyone is free' otherwise everyone dies. If he answered "I dun know", the game continues: a prisoner will be choosen at random on (n+1)-th day and so on. Now these 100 prisoners are free to meet and discuss a strategy on the night of 0th day. Afterwards they will not be able to see anyone else at all. No other communcation is possible except the binary switch in the room. Is there a sure-fire strategy to free all of them?

99 lions and 1 sheep on an island, lions want to eat sheep but also want to stay alive, when a lion eats a sheep, it turns into a sheep. How many lions and sheep left after a period of time? (Lions can survive on other foods on the island, sheep cannot escape lions, all creatures are rational)
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Trading

Interviewed at Jane Street

4.4
Sep 14, 2010

99 lions and 1 sheep on an island, lions want to eat sheep but also want to stay alive, when a lion eats a sheep, it turns into a sheep. How many lions and sheep left after a period of time? (Lions can survive on other foods on the island, sheep cannot escape lions, all creatures are rational)

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