Quantitative trader Interview Questions
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Round 2: If you have balls weighting from 1, 2, ... 40g, and you have a fair balance, how many of their weights you have to know in advance such that you can measure all the rest? If you can weigh 1,...,n-1 for n > 2, then you can weigh n by using 1 and n-1 (this does not hold for weighing 2). So you just need 1 and 2. Not sure I fully follow the question, can't you just get everything in terms of the lightest, so just weigh the lightest to get your unit? e.g. number the weights w1, w2, ... ,w40 in increasing order (we can determine this without external knowledge, right?). Then we have w1 + w2 = w3 w1 + w3 = w4 w1 + w4 = w5 and also stuff like w2 + w3 = w5 substitute come stuff in and you find that w2 = 2w1, hence wn = nw1 So just 1? Show more responses One or more comments have been removed. |
If I flip 100 coins and then multiply the number of heads by the number of tails, what is the expected value of that number? Can you give a confidence interval on this number? One or more comments have been removed. |
sum of all odd numbers between 1 and 100. |
I play a game where I start with a score of 100. I then flip 10 coins in a row. Every time I get a head I add 1 to my score. When I get a tails I take the reciprocal of my score. If you are running this game, and people are given their score in pounds at the end of the game, how much would you charge people to play? |
90% confidence interval for length of roads in UK |
What is the expectation of a 6 sided die? What is an expectation of a 20 sided die? You have two balls of equal density. One with a diameter of 1.5 ft and the other 1 ft. The 1.5 ft ball weighs 27 lbs. What is the mass of the 1 ft ball? |
what is 17% of 33.5 One or more comments have been removed. |
Google the game 'Shut the box'. He asked me to figure out the average score someone has at the end of the game if they play the 'optimal' strategy. After getting this number, he wanted to know how this would change if instead of playing the optimal strat, they made random moves. Super open ended problem. |
Q: what are the differences between structure, union and classes in C++? |
Round 2: How you can create fair coin with an unfair coin? Is there any way I won't waste any of my flips during the process? One or more comments have been removed. |
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