Some sample questions: Q. You have a biased coin in which the probability of getting a head is 51%. Create an event out of this coin which has a probability of 25%. Q. There is a calculator in which all digits (0 to 9) and the basic arithmetic operators (+, -, *, /) are disabled. However other scientific functions are operational like exp, log, sin, cos, arc tan, etc. The calculator currently displays a 0. Convert this first to 2 and then to 3. Q. There are five points in an equilateral triangle of side length 1. Prove that there are two points with distance less than 1/2.
Quantitative Researcher Interview Questions
4,831 quantitative researcher interview questions shared by candidates
Let's play another game: There are 100 balls, you and I pick the balls in turn, for each round you can pick 2^k balls(k=0,1,2,...). Do you have a strategy to win?
There are N(sufficiently large) numbers that may repeat and x repeats more than N/2 times. Try to find an algorithm with time O(N) and space O(1) to find x.
50% of population does not smoke, 20% are heavy smokers and 30% are light smokers. If heavy smokers are twice as likely to die as light smokers, and light smokers are twice as likely to die as non-smokers then what is the likelihood that if someone died they were a heavy smoker?
We have two candles. The one burns in 2 hours the other burns in 1 hour (I am not sure about the numbers). At which time should we burn simultaneously these candles in order the one candle to have double the length of the other at 4pm?
It Rains 30% of the time on Saturday, 40% on Sunday. How often does it rain on the weekend?
You have all the clubs from a deck, 13 cards, and you can choose 2 from the deck and get paid their product, where all face cards are considered to be 0. You can pay $1 to reveal the difference of any two cards you choose, how much would you pay to play this game?
If theres a 0.3 probability it'll rain on Saturday and a 0.4 probability it'll rain on Sunday, what is the range of the possible probabilities it'll rain on at least one day?
Build a tree where the parent can have any number of children. Find the coefficient of a quadratic polynomial if you know the value of y when you plug in any x.
tell me about finite element methods.
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