Find the smallest positive integer, x, such that the product of all the digits of x is 10,000
Junior Trader Interview Questions
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If there was a drawer in front of me containing 4 socks, either black or white, and I know that I have a 50% probability of pulling out two white socks in a row, then what is the probability of pulling out two black socks?
If you have 9 marbles and one is heavier than the other 8. How can you use only a balance beam to figure out which is the heavy one if you can only use it twice.
a^2+b^2 = c^2, a+b+c = 40, and a,b,c are positive integers. What are a,b,and c?
M by N matrix of lightbulbs&switches, interior switch each controls 9 lightbulbs, edge ones control 6, corner ones control 4. How many turns do you need to light up all bulbs?
You have 5 friends of different ages going to dinner. What is the probability that they will sit in age-order around the table? Can be clockwise or counter-clockwise.
If I have a 4x4x4 cube and i paint the outside of the cube, then i cut it into 64 1x1x1 cubes, 1) How many have at least one side painted? 2) If i pick one of the 64 cubes up and roll it, what is the probability that the top side is painted?
you have five coins. One is double-headed. Pick one coin at random without looking and throw it 5 times. Suppose the outcome are five heads, what is the probability that the coin picked is the double-headed one?
2 fair dice. What is the probability of both showing six if I have observed at least one six.
n unbiased coins. What is the probability that half of them exactly are heads. Answer the question for n= 2, 3, 20000
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