I give you 18 balls, of which 17 weigh the same and the last one is heavier than the rest. I also provide you a balance scale. Can you tell me the minimum number of weighs with which you can tell me which ball is the odd one?
Junior Trader Interview Questions
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What is the minimum number of cards to make a card tower with 100 levels (you need 2 cards for 1 level, 7 for 2, etc.)?
If the time is 6:34PM, what is the angle between the minute hand and hour hand?
How much would you pay to play the following game: I roll a dice and pay you the amount showing (so if I roll a 4, I give you $4).
If a submarine can fire has two missiles to fire with each one hitting with a probability of 1/3, what is the probability that at least one missile will hit?
What is the expected value to you of the following game: You and another person have 3 coins each. You both flip all of your coins and if your three coins show the same number of tails as the other person, you pay them $2, otherwise they pay you $1.
a group of people wants to determine their average salary on the condition that no individual would be able to find out anyone else's salary. How can they accomplish this?
Two people are 60 km apart. If the two people, one travelling at 25 km and another at 35 km, will collide into each other and there is a fly that can travel at 40 km, then how much distance will the fly cover before the two people collide? If there is one pad in a pond and the number of pads doubles every day, it'll take 30 days for the pads to fill the pond. How long will it take for the pads to fill the pond if there were 8 pads on the first day? A person asks his friend the ages of his three daughters. The friend says that if their ages are multiplied then the answer is 36. The person says "that isn't information". The friend says that if you add their ages then it's equal to my house number. The person says there still isn't enough information. The friend says that my youngest daughter has blue eyes. The person says "OK I know now". What are the ages of the daughters?
What is 91^2?
You and a friend are betting on individual games of the World series. For each game, if your team wins, you win a certain (positive) amount of money, and if your team loses, you lose that amount. You and your friend create a betting scheme such that you will win 1000 dollars if your team wins and lose 1000 dollars if your team loses, regardless of the game score (it could be 4-3, 2-4, etc.). How much do you bet on the first game?
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