Brokerage Services interview questions | Glassdoor

# Interview Questions

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## Interview Questions

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### Web Developer at Interactive Brokers was asked...

Oct 10, 2012
 The people of TownX pay as much income tax(percentage-wise) as the number of rupees made per week. What's the optimal salary?2 AnswersLet x be the income. Net income is x - x/100. Take first order derivative of that and set it 0 and solve for x for the optimal salary. The answer is 100.I think this solution is incorrect. The net income is the gross pay less the gross pay multiplied by the tax rate: Net = Gross - Gross * Gross/100 Net = Gross - Gross^2 / 100 Calling the net pay N, and the gross pay G, N is maximized when dN/dG = 0, or: 1 - G /50 = 0. Solving for G yields an optimal pay of 50 rupees. I knew your answer was incorrect because a pay of 100 rupees corresponds to a 100 percent tax, that is, ZERO net pay! IBKR remember my name, I will submit my application upon graduating from college. Mike Mancini mancini0@gmail.com

Jul 29, 2011
 I flip a coin and get heads 99 times. It is a fair coin. What are the chances that, if flipped again, will tails come up. 2 AnswersTechnically answer is 50/50 but they want out of the box thinking. Perhaps suggest that the coin must not be fair or that there is an outside factor playing a role.It's 50/50, and the thing to understand is that 99 heads in a row is no more likely or unlikely than a sequence of, say, H,T,H,T,T,T,T,H,H,T,H,H,T,T... and so on up to 99. Each particular "random"sequence of heads & tails is equally unlikely. If we take the averages of all possible sequences then heads comes up as many times as tails does, but for a particular string of 100 flips, there's no knowing until we are finished whether it's going to be H(99) & T(1) or H(100) & T(0). Could go either way, and the odds are 50/50.

Jun 18, 2013

Mar 30, 2010

### Finance - Corporate Infrastructure at Nomura Securities was asked...

Mar 23, 2010
 What do you want to do in the future? What do you see yourself doing in the future?2 AnswersI said I had interest in finance and investing, so I said that I wanted to do stuff related to IB and trading.Why not tell them you "want to do stuff related to finance and investing"?

### Finance and Insurance at Northwestern Mutual was asked...

Jun 7, 2010
 What do you want to get out of a company?2 Answersthey were looking for answer that tells them that you are looking for something that could clearly help you. NOT GIVE YOU EXPERIENCE.Since this is a job in the financial sector, you can also spin this in similar language: RETURN ON INVESTMENT. I plan on making this a long term relationship, investing years of hard work and energy. I would hope that the company sees that, recognizes that, and helps build that relationship with me.

Sep 27, 2012
 what is the angle between hour and minute hand at 10:30 how to escape a room without windows how much dust in a hole of 10*12*10 inches indexes and bond interest rates of prior day behavioral questions: who would you like to invite for dinner2 Answersshould be 135Angle Problem: The hour hand is halfway between the 10 and 11 and the minute hand is on the 6, so they are 4.5 away and there are 12 total on the clock. 4.5/12 * 360 = 30*4.5 = 45*3 = 135 degrees

Oct 15, 2012
 Lowest multiple of 16 that only contains 1s and 0s...I couldn't come up with an efficient solution besides multiplying by stuff until I ended up with 10000 (took too long, interviewer asked me to move on). 2 Answers16=2^4. So the number should be divisible by 2 four time over. Start from least significant digit: Digit 1: It can only be 0, because number ending with 1 is odd and therefore not multiple of 16. Digit 2: It can only be 0, because X...X10/2 = X...X5 which is odd. (But X...X10 is indeed multiple of 2.) And so on. You'll get 10000 as the lowest number (4 zeros = 4 embedded 2's = 16)last digit has to be 0, so this number is 8*2*5*X = 8*10*X. By common sense, 8*125=1000, so X = 10*1000 = 10000