Intern Interview Questions in Philadelphia, PA | Glassdoor

# Intern Interview Questions in Philadelphia, PA

From retail to finance to medicine, every industry needs interns to provide additional support and assistance. Interview questions will vary greatly depending on the industry and role you are looking for. Expect to answer questions about how you work on teams and provide examples of any relevant work experience. To ace your interview, make sure to research the particular position you are applying for.

## Top Interview Questions

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### Trading Intern at Susquehanna International Group was asked...

Jan 8, 2012
 I have 10 cards face-down numbered 1 through 10. We play a game in which you choose a card and I give you the corresponding dollar amount. a) What is the fair price of this game? b) Now, after picking a card you can either take the dollar value on the card or \$3.50. Also, cards worth less than 5 are now valued at \$0. What is the maximum price you are now willing to pay for the game?9 AnswersFair value is 5.5 2nd game: FV = (3.5 x 5 + 6 + 7 + 8 + 9 + 10)/10 = 4.75You decide on taking the dollar value on the card or \$3.50 *before* seeing the number on the card. And you get \$5, if you open that card, not \$0. So: 2nd game: (1/2)*3.5 + (1.2)*(1/10*[5+6+7+8+9+10]) = 43.5(.4) + (4.5)*.6 = \$4.10 3.5 because this is what 40% will select, 4.5 as this is the avg of 5-10*1/10. There is not a 50% chance of selecting 3.5 @Your are WRong @ EASY. There is not a 10% chance of receiving \$3.5 as numbers under 5 are worthless this will /should change your perspective.Show More ResponsesFJM is correct. "Cards worth less than 5 are now valued at \$0" - that does not include card number 5.how does 4.10 make sense if 4.5 is the ev of taking the card..ii think you are incorrect. can you explain your reasoning. using 1/10 to take your average and then multiplying by .6 seems like you are double countingTotal amount=3.5*4+(5+6+~+10) Expected value=total/10=5.9 @FJM no idea where your 4.5 coming fromOK agreed with xinzhuo. Should be 7.5 instead of 4.5 in FJM's calculation, which gives 5.9.Agreed. I double counted. 3.5*.4 + 7.5*.6 3.5 was given 7.5 =(5+6+7+8+9+10)/6"You decide on taking the dollar value on the card or \$3.50 *before* seeing the number on the card." 2nd game: Obviously, the game price should be no less than 3.5, otherwise there is an opportunity for arbitrage. Now that the price is higher than 3.5, it makes no sense for a rational player to choose just take 3.5 dollar and exist the game. The player should always choose to bet. And the expectation for betting is (5+6+...+10)/10 = 4.5.

### Quant Research Intern at Susquehanna International Group was asked...

Mar 17, 2013
 Suppose you have two covariance matrices A and B. Is AB also a covariance matrix? Suppose that, by plain dumb luck, we also have that AB=BA. Is AB a covariance matrix under this additional condition?12 AnswersI suppose it's clear from how I wrote the question that the answer to the first question is no (for you: why?). For the second question, this is a little bit harder if you aren't experienced in linear algebra. I actually have a PhD in algebra, and the interviewer also had a PhD in algebra, so on some level this question might have been specifically targeting my background. There is a standard result that applies here; see if you can figure it out.1. no 2. no, give an example where diagonal positivity is not true.1 is correct, 2 is wrong. Try again. :)Show More Responses2. Just checked Wikipedia, AB is cov matrix because it is symmetric semi positive definite. Is it right?If AB=BA then yes it is symmetric. So the question boils down to: Is it in fact positive semi-definite? Why or why not? Work through that and you have your answer. My hint: Take a look at some results related to diagonalizing matrices that commute with each other.Hi for your telephone interview with doug, what was the focus for technical interview parts, everything from math, finance, programming? or mainly probability type of question? thanksI remember it being mostly probability and finance. Nothing too terrible.Hi Mr.interview candidate, what were the types of finance questions Doug asked? Thanks!Hi, Mr. interview. Do you remember what kind of data analysis example was for on-site interview? If so, can you share a little bit? What was the level of difficulty? Thanks!1, no 2, yesHow does the first one not contradict this: https://math.stackexchange.com/questions/982797/prove-that-the-product-of-two-positive-semidefinite-and-symmetric-matrices-has-nIt doesn’t. It provides an alternative way of establishing that the eigenvalues must be nonnegative. In fact, if you read the proof, all that’s established is that AB is similar to a positive semidefinite matrix and therefore must be positive semidefinite. It says nothing about whether or not AB is symmetric (which is also required for AB to be a covariance matrix).

### Quant Research Intern at Susquehanna International Group was asked...

Mar 17, 2013
 Suppose you have 100 GB of data that you want to sort, but you only have 1 GB of memory. How would you sort this data?8 AnswersHint: This isn't really a difficult question (just was an unexpected one for me). You don't really need to know the answer to figure this out. As it turns out, the obvious thing actually works here (and it is a known sorting algorithm).Can you expand on this? What is sorting algorithm?Sorting algorithm = a computer algorithm to sort a list of objects. Well pretend you just have 2 GB of data (for simplicity, assume they are integers) and 1 GB of memory, since the technique is the same. And pretend you want to sort these integers in increasing order. What would you do? Like, what's the first idea that comes to your mind?Show More ResponsesYou do an on disk merge sort, bring chunks in to memory and sort using quick sort, then had the sorted data in to buckets (files). When your done merge them using a merge sort.Yep, exactly.External sortbucket sort. Sort each bucket, then merge.Mark

### Intern at Susquehanna International Group was asked...

Oct 16, 2012
 I don't remember the hardest one, so here is one of the other questions from the perspective of the interviewer. Here is a coin game as follows. We each have three fair coins, and we flip all of them at once. After we flip them, we look at the outcomes. If we have the same number of heads out of our own coins I pay you \$1 and if we have a different number you pay me \$2. Do you want to play this game?5 AnswersI'd say no, the risk is always outweighing the reward..and even if you make money on a bet/trade it could still be classified as a bad tradeIts no. The probability of having 3H = 3T = .5*.5*.5 = 1/8 The probability of having 2H 1T = 2T 1H = .5*.5*.5 *3(ways of getting these combos) = 3/8 So the probability of having the same # of heads on two separate flips of 3 coins is the square of the sum of these probabilities = (1/8)^2 + (1/8)^2 + (3/8)^2 + (3/8)^2 = 5/16 So expected value = 5/16 * (\$1) + 11/16* (-\$2) = -\$1.06 You'd lose \$1.06 on average each time you played this game.why did you add two (1/8)^2 terms in the square of the sum of the probabilities?Show More Responsesthe probability distribution is symmetric so probability of getting 0 heads = probability of getting 3 heads = (1/2)^3 so you have to sum it twiceThe answer is no: In each round, there are 6 coins in play, so the sample space is 2^6. Count the ways you can both get 0 heads, 1 head, 2 heads, and 3 heads. 0 --> There is 1 way to get no heads. 1 --> My first is head and any of your three is a head also. Similarly, I do the same if my second or third flip is a head. This leads to 3*3 = 9 ways. 2 --> Count the coin that is tail (which means that 2 are heads). This means we have to calculate it the same way as before, again leading to 9 ways. 3 --> finally, there is only 1 way for us to both have three heads. Add this up: 1 + 9 + 9 + 1 = 20. The sample space is 2^6=64. Thus, the probability we both have the same number of heads is 20/64 = 5/16. Expected value = (5/16)(\$1) + (1 - 5/16)(\$2) < 0. Thus, we should not play the game.

### Intern at UnitedHealth Group was asked...

Apr 12, 2012
 What motivates you?3 Answersto reach a position which can get good recognization to meI take every task as a and I enjoyed to do any work. One thing is about me I am afraid to get old and my player attitude bring me out of it.To achieve my goal which leads to get the motivation of myself.

### Software Engineer Intern at Susquehanna International Group was asked...

Jun 1, 2012
 Logical Reasoning Goal: The person to reach 50 first wins. Rules: Play with another person, say a number, and the other person can say any number upto 10 over your number. 3 AnswersGo first, and say 6, 17, 28, 39 and 50.whoever goes first win..unless the goal is to reach the value which is "a multiple of (range+1)". In this question range=1 (Also assuming that each player has to add at least 1 and at most 10 to existing number and player 1 cannot choose 0.

### Audit Intern at KPMG was asked...

Nov 7, 2010
 Tell me a time when you were in a tough situation with a group project and how you dealt with it?2 AnswersI can't remember my exact answer but a basic answer could include a group member not showing up to meetings or doing his part and how you addressed the issue yourself instead of relying on a professor.I think we interviewed there at the same time at Philly. Have you hear back from them yet?

### Intern at Susquehanna International Group was asked...

Jan 30, 2012
 how to measure the highest floors from which you can drop an egg?3 AnswersNEED AN ANSWER !!! ::) Pls Help !Any floor is OK. Cause there is no requirement on if the egg should be preserved.http://datagenetics.com/blog/july22012/index.html

### Intern at Heffler Radetich & Saitta was asked...

Jun 26, 2012
 Why are you interested in working at our firm?1 AnswerI need a job

### Audit Intern at Grant Thornton was asked...

Jan 25, 2013
 If i were to buy a company today and could only look at one F/S which one would i look at and why?1 AnswerCash flow statement
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