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trader interview questions shared by candidates

## Top Interview Questions

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14 Apr 2015
 How do you check if your regression parameters are significant? Given a number's prime number decomposition, how many ways are there of factorizing it into two different factors?3 Answersanswer to prime number question: I am assuming that the 2 factors you factorize it into are relatively prime, in that they have no common factors. For a number N, suppose it is represented as a product of prime number N=\Pi_i p_i^(e_i), where p_i is a prime number and e_i represents the number of such primes in N's prime number factorization. For N=xy, we see that for each p_i, we can choose whether ALL p_i factors go to x or go to y (2 choices). it cannot be that we take some of the p_i factors and give them to x, then give the others to y because otherwise x and y will have common factors. Thus, for each p_i we have 2 choices as to where it can go: x or y. So nominally we have 2^n possibilities. However, since (a)(b) and (b)(a) are considered the same factorization, we over count by a factor of 2, so really we have 2^(n-1) possibilities.regarding my above answer: the upper limit on the product \Pi should be n. That is, \Pi_{i=1}^nyour assumption of relatively prime makes the problem easy...i don't think that's the goal...try to answer the actual question without making sweeping assumptions!!

2 Dec 2017
 Why do you want to work for Samuel and Co Trading?3 AnswersLooking for an opportunity to learn more about trading.Did you sit the training and assessment ? Interested on your thoughts as I have one coming up soon.I will be totally honest Mark, you could learn everything online. There isn’t anything special in there training. Plus you would save a lot of money by not talking the training. It’s up to you?

14 Nov 2018
 Player A rolls 3 6-sided dices. Player B rolls a 20-sided dice. The player with highest score wins. Which player do you wish to be?3 AnswersThe two players are equally likely to win because their distribution have the same mean and are symmetric respect to that distribution.The EV are both 10.5 but the variance is different so i would prefer the one with lower variance that is the 20 sided die.I don't really see why you should consider variance, given that you either win or lose, so there's no variance in the prize if you win. Perhaps if the winner won their score you may then wish to do some mean-variance analysis. As others have said, same mean and symmetric, so you should be indifferent to either coin. A common follow-up here is to ask; what about if we include more players? (that have either the 3 d6s or a d20)

13 Sep 2011
 You have 2 ropes, each of which takes 1 hour to burn. But both have different densities at different points. How to measure 45 minutes?2 AnswersThinking behind the rope problem - Given a rope burning in 1 hour and required to measure a time interval less than 1 hour, the rope must be cut in half or someway to reduce the burning time. However, as it is of an uneven density, it can't be determined where to cut the rope. Therefore, only other solution is to burn it faster, and therefore perhaps double the burn rate. Solution: Burn one of the ropes at both ends and the other at one end simultaneously. When the rope at both ends burns out, light the other end of the other rope as well. The total time from the beginning of the experiment to the burning out of the second rope would clock as 45 minutes.You wouldn't be allowed to change the actions available. lighting the ropes are your only option. Also cutting the rope or burning it faster (which doesn't really make any sense) wouldn't necessarily yield an accurate result. Instead you should light one end of one rope and both ends of the other. When the double burnt rope has finished, it's been 30 minutes. At which time you light the other end of the remaining rope. When this has finished burning you can be certain that 45 minutes have passed.

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27 Dec 2017
 One bag contains 13 white and 15 black marbles. Outside we have 28 black marbles. Every time I pick two marbles from the bag and place back one, whose color depends on the combination of the marbles I put out. Combos : OUT: 1 black-1 white IN : 1 white OUT: 2 blacks IN : 1 black OUT: 2 whites IN : 1 black What is always the color of the last marble remaining? 2 Answers1 white marble. In order to end up with all black marbles, you need an even number of white marbles in the bag at some point. (So you can remove them all in pairs and return black marbles). This means you need an odd number of white marbles outside the bag. You start with 0 white marbles outside the bag. However, the number of white marbles outside the bag will always be a multiple of 2. You only ever add 0 or 2 white marbles to the marbles outside the bag (1 b 1 w = return 1 w = 0 white marbles. Remove 2 w marbles return one b = + 2 white marbles outside the bag) Since it is impossible to ever have an odd number of white marbles outside the bag, it is impossible to ever have an even number of white marbles inside the bag. Thus, you can rule out the possibility of there being 13 white marbles outside the bag. Leaving only 1 possibility. That is 12 white marbles outside the bag and 1 on the inside. The last marble is always whiteI agree with nollag_trd, but to put it more succinctly: White marbles are only ever removed in pairs (if a single white is drawn, it's put back). There are an odd number of white marbles in the bag. Hence, the last white marble will never be removed.

17 May 2012
 If the current market is in contango and you are short are you losing money or making money?2 AnswersThe simple answer is that if you are short on a contango curve then you are losing money, for the curve is sloped positively.You’re making a profit. Selling at a higher price than what you bought