Quote from WallstYouth:
Here are typical question we use to filter out retards, I work for a prop desk at an IBank as a developer not really Quant but I've seen similar questions used for many quant roles:
Question: Given arbitrary integer, come up with a rule to judge if it is divisible by 9. Prove it.
Question: Roll a penny around another fixed penny in the center with edges in close contact. After moving half circle around the center penny, you will find the penny in motion has rotated 360 deg. Why?
Question: very heavy wall moving at 60mph, a ball moving same direction at 120 mph. What is direction and speed of ball after ball hit wall.
Question: A square with four corners A,B,C,D. Suppose you start from corner A and have equal chance to go to neighboring corners B and D; After reaching new corner, you again have equal chance to go to its two neighboring corners. The time consumed to travel on each edge is 1, what is the mean time to come back to A.
Question: What is the properties of where p is prime number larger than 3
Question: A stair of 100 steps. You can either climb either one step or two steps but no more each time and you can walk up entire stair any way you like with rule above obeyed. How many possible combinations of ways to finish the walk?
Question: Given variances and covariance of X and Y. Z=a*X+b*Y. Calc variance of Z.
Question: There are 14 identical-looking balls. 13 of them have the same weight while one of them is heavier than the rest. What is the minimum times you can weight to identify the heaviest ball ? How do you generalize for n balls