WorldQuant Research Analyst Interview Questions

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Research Analyst Interview

Apr 2, 2018

Anonymous Interview Candidate

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Interview

The process is standardised: online test and consequent 5 interviews ( 3xResearch and 2xStrategy/Research Directors) Test with two parts 40 and 20 questions each. The time for the first part question is 2-4min and a second part question is up to 7 minutes. Sometimes you have to choose the answer, sometimes you must type it. Each phone interview is of about 45 mins, with a 10min general discussion and 2-3 math/coding questions. All focused on Problem Solving, Combinatorics, Algo plus general career discussion on cultural fit, delivering tasks etc. on interviews. The questions are mostly about: - Simple math problems - Coin Problems: Unbiased and Biased. - Probability problems - Statistics, like "find expectation of ...". - Programming in pseudocode, Basic algorithm like "what will variable x be equal to after this code is executed". Preparation: 1. Heard on the street 2. Online teasers 3. Glassdoor research 4. Relevant job questions: Alpha, Smart Beta strategies etc.

Interview questions [17]

Question 1

If |a-M|<=c and |b-M|<=d, which of the statements is sufficient to imply that |a-b|<e?

1 Answer

Question 2

A vector X of 100 real numbers has a mean value of 14. A second vector Y of 100 real numbers has a mean value of 40. A third vector Z is constructed by picking 100 numbers from X or Y at random and multiplying each by 2. A forth vector W is constructed by picking the remaining 100 numbers of X and Y and multiplying each by 2. What is the sum of all elements in Z+W.

Answer question

Question 3

The population of desolate, remote planet is kept alive by a life support system. The population quadruples every 54 years, but the life support system capacity can only be doubled every 54 years. If the initial population is 2 people and the initial life support system has capacity for 16384 people, how many years will pass before the population reaches the capacity of the support system?

3 Answers

Question 4

When flipped a biased coin has a probability of 0.9 for heads. You get $1 for heads and loose $10 for tails, what is your expected wealth after 10 tosses?

Answer question

Question 5

First player tosses perfect dice 2017 times. Second - 2016 times. What is probability that the first got strictly more odd numbers that the second one?

3 Answers

Question 6

Stock fluctuated everyday by 5%, up or down, with same likelihood. Assuming zero interest, friction, and dividends what strategy is the best over 100 days.

1 Answer

Question 7

We cut zero-one interval into 6 parts by dealing the 5 separator points uniformly and independently from zero-one interval. What is the probability that all six pieces are shorter than half?

2 Answers

Question 8

Two points are chosen uniformly and independently on a line of length of 60. What is average expected distance between them?

1 Answer

Question 9

Find optimal algo on max and average on consecutive groups (1000's): 1-1000, 2-1001 .... etc.

1 Answer

Question 10

Find the maximum of two numbers without using if-else or any other comparison operator.

1 Answer

Question 11

Miner in a cave with three different paths. First one leads for 3h to exit, second - 4 hours to start and third - 6 hours to start. Assuming miner does not know, which path was taken last time, how much time needed to escape the cave?

1 Answer

Question 12

You need to forecast the number that will be drawn from a continues uniform distribution between and 60. You will be charged 3 dollars for every unit overestimated and 1 dollar for every unit underestimated. No charge if the number is forecasted correctly. What number to forecast to minimize the cost?

3 Answers

Question 13

Two ferries at the same time on opposite sides of a river move at constant but different speeds. First meet at 300m from left, second time after the turn and 200m from the right side. How wide is the river?

2 Answers

Question 14

Mark a point randomly inside the circle of radius 1 meter. Let D is the distance from the point to the centre if the circle. Observe the distribution of d. Where the median is located?

1 Answer

Question 15

Consider a random permutation of numbers 1,…,2017. What is the variance of the number of its fixed points (ie numbers which are not moved by permutation)?

1 Answer

Question 16

What is the value of the integral of the function f(x)=exp(-x/2)cos(x) taken zero to infinity?

2 Answers

Question 17

Ant is sitting in a vertex of a right parallelepiped with edges 2,3,2. What is the length of the shortest path it can take to the opposite vertex.

1 Answer

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