What is the sum of 1-40?
Trading Associate Interview Questions
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Assume that on a chessboard, the King piece is on tile E1 (bottom row, 5 columns across). It can move straight forward, forward diagonally to the left, or forward diagonally to the right on each move. How many different paths can it take to get to tile E8 (top row, five columns across) in exactly 7 moves?
If you have a deck of cards split into 4 piles and was offered 1:1 odds to draw a face card (J Q K A) from at least one of the piles, would you take the game? Why or why not?
You and I play a game. There are two dice, one ten sided and the other six sided, you guess the sum of the numbers after I roll them. If your guess is correct, you get the sum of the numbers in dollars, else you get nothing. How would you make the best guess?
3) Imagine you are out playing golf with 2 friends. You need to decide randomly, and fairly, the player to go first. You have a fair coin with you, which you can flip. How do you use the coin to decide who goes first, with an emphasis on minimizing the number of flips you need to make?
I'm giving you a choice between two games. In the first game, you roll two six-sided dice. For every number by which their sum exceeds 10, I will give you $1 and $0 if their sum is equal to or less than 10. In the second game, you still have two dice but once is already set to 5 so you can only roll one die. The same rules apply: you get a dollar for each number over 10 and get nothing if the sum is equal to or less than 10. Which game would you prefer to play, and how much would you be willing to pay me to play the preferred game over the other game?
3. B = [[0, ln 2], [3, 0]], A = I + B^2 + B^4/2! + B^6/3!+..... what\'s trace of A?.
11% of 68 1,000,000-211 32 x 28 1 bowling ball has diameter of 8 inches, weighs 16 pounds. A bowling ball of equal density has diameter of 12. How much does it weight? We're going to play a game. You go first. You flip a coin and if you get H, I give you $30. If you get T, you give me the coin and I flip. If I get H, you give me $30, if I get T I give it back to you. We keep going until one of us gets heads. What is the max amount you'd be willing to pay to go first. Give a 50% confidence range and a 90% one of your answer. Why?
Add up all the even numbers from 1 up to 100 in 30 sec. You're not allowed to use any pen or paper.
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