Interns Interview Questions

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There are 1000 people in a hall. One person had his hand painted. Every minute everyone shake their hand with someone else. How much time is needed to paint all the hands? What is the best scenario? What is the worst scenario?
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Quantitative Trader - Intern

Interviewed at Jane Street

4.4
Aug 19, 2020

There are 1000 people in a hall. One person had his hand painted. Every minute everyone shake their hand with someone else. How much time is needed to paint all the hands? What is the best scenario? What is the worst scenario?

Video interviews generally test you on interpersonal, communication, business strategy and time management skills. Discovery Centre tests almost the same thing, and they're looking for empathy, how well prepared and how well you defend your points.
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Intern

Interviewed at Unilever

4
Feb 15, 2020

Video interviews generally test you on interpersonal, communication, business strategy and time management skills. Discovery Centre tests almost the same thing, and they're looking for empathy, how well prepared and how well you defend your points.

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?

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