Assistants Interview Questions

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You are trying to get to Orlando, which is 800 miles away. You have 2500 apples, and you drive a truck which can hold a thousand at a time. You have unlimited gas, can take as many trips as you'd like, and if you want, you can store apples anywhere on the side of the road and pick them up later. The kicker is- one apple falls out and disappears forever for every mile you drive on the truck How many apples can you transport? Do it in your head- no paper or pencil
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Trader Assistant

Interviewed at Jane Street

4.4
Jul 20, 2010

You are trying to get to Orlando, which is 800 miles away. You have 2500 apples, and you drive a truck which can hold a thousand at a time. You have unlimited gas, can take as many trips as you'd like, and if you want, you can store apples anywhere on the side of the road and pick them up later. The kicker is- one apple falls out and disappears forever for every mile you drive on the truck How many apples can you transport? Do it in your head- no paper or pencil

If I have a 4x4x4 cube and i paint the outside of the cube, then i cut it into 64 1x1x1 cubes, 1) How many have at least one side painted? 2) If i pick one of the 64 cubes up and roll it, what is the probability that the top side is painted?
avatar

Assistant Trader

Interviewed at Jane Street

4.4
Sep 28, 2011

If I have a 4x4x4 cube and i paint the outside of the cube, then i cut it into 64 1x1x1 cubes, 1) How many have at least one side painted? 2) If i pick one of the 64 cubes up and roll it, what is the probability that the top side is painted?

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