Summer Trader Interview Questions | Glassdoor

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Feb 26, 2010

Feb 26, 2010
 How many digits are there in 2^50?5 Answerslog2(2^50) / log2(10) = 50 / 3.3 ~= 152^50 / 10 = 16 * 2^46 *1.616 digits: 2^50 = (2^10)^5 = 1024^5Show More Responsesevery 3 powers of 2 the number of digits increases by 1. 50/3 = 16.67, so there are 16 digits.With these brain teasers, is it allowed to use scratch paper? Is there a favored approach between trying to work quickly and mentally as opposed to thoroughly and methodically? I can see the pro's and con's of both, and I'm just curious whether I should practice one way or another.

Feb 17, 2014
 A survey is given to all passengers on a number of different planes. The survey asks each person how full their plane was. The people answer honestly. If 50% of people claim that their plane was 80% full, while the other 50% claim that their plane was 20% full, how full was the average plane?2 Answers32%, I think? I totally blanked during the interview and it took me a while to get.Let's say each plane holds 100 people. If someone is on a plane which is 80% full, then each of the 80 passengers will say the same thing. Similarly, if someone is on a plane which is 20% full, then each of the 20 passengers say the same thing. We want the number of people who say 80% to be equal to the number of people who say 20%, so for each plane which says 80% there must be four which say 20%. The average is therefore (1/5)80% + (4/5)20% = 32%.

Sep 18, 2015
 How to generate random numbers from a Gaussian distribution?Be the first to answer this question

Dec 14, 2015
 "Why do you want to work in finance." Find a way to bet on individual games in the NBA finals such that no matter the outcome of each game and no matter the number of games to the end of the tournament, you win exactly \$100 if your preferred team wins and lost exactly \$100 if your preferred team loses. The NBA finals is best out of 7 (4 wins needed to win) so the tournament may terminate at the end of the 4th, 5th, 6th, or 7th rounds. And then questions at their regional office - one game theory question, several questions about minimizing risk or finding expected return of a game.1 AnswerEasy

Apr 9, 2017
 Suppose two players are playing a game. The first player chose an integer between 1-30. The second player picks a different one. After that, a random integer (x) between 1-30 will be generated. The player whose number is closer to x get paid x dollars. Q: Would you go first or second? What number should you pick?2 AnswersAssuming optimal play on both sides the first player will pick either 15 or 16 and the second player will pick whichever of the two the first player didn't giving a 50/50 chance of the win. This would mean it doesn't matter which number you pick. If you don't assume optimal play then you would want to go second. If the first player does not choose 15 or 16 you should choose the number directly above or below their number depending on whether their pick was below or above 15 or 16. The edge this gives you depends on how far the opponent's pick is from 15-16If you go first, choose 21.564 or 22 . This minimizes the difference of expected value on either side. If you go second, choose the number that is one away from the first player's number in the direction of 21.564 . That is, if the first player naively chooses 15, choose 16. sum numbers lower than (or equal to) x = sum of numbers higher than (or equal to) x x*(x+1)/2 = 30*(30+1)/2 - (x-1)*(x)/2 x^2 = 465 x ~= 21.564