Add the digits of all the numbers from 1 to 1,000,000
Trader Trainee Interview Questions
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What is 87 x 46?
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?
The first player chose an integer between 1-30. The second player picks a different one. After that, a random integer (x) between 1-30 will be generated. The player whose number is closer to x get paid x dollars.
Have a tricycle. Will travel on it for 1000 miles. Have two spare tyres with you (hence 5 in total). a) If you want each of them to be worn the same by the end of the journey, how much will each of the tyres travel on the ground. b) What is the minimum number of stops you have to make in order to achieve this.
let's assume you have a sequence of 36 integers consisting of just 1's and 0's (i.e. 01010101..., 10000100... ). Can you construct a sequence such that every subsequence of length 5 is unique? Let's assume that you start with 00000. How would you construct it? (For instance, if you start with 00000100001..., then it's not valid since you have two subsequences (00001, 00001) of length 5 that are identical).
2 mental math questions, two probability questions. (1) If you have 4 coins, you toss them, what the expectation value of get heads, not you have a chance to redraw four coins one more time, what is your expectation (2) Two team has equal win probability, What is the probability that they go to series 7.
Compute the expected value of the median of rolling the dice three times
You have a lottery ticket with 10 slots. Behind each slot there's a equally distributed number between 0 and 1. Your payout is the maximum number between any of these slots. How much are you prepared to pay for the lottery ticket?
coin tosses, A wins if HTT, B wins if TTH, is this fair?
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