Find the largest 5-digit number such that the pairwise digit sums of the numbers are unique. Find the smallest 5-digit number with the same property. Explain why it doesn't work for 7-digit numbers. Does it work for 6-digit numbers?
Junior Trader Analyst Interview Questions
9,706 junior trader analyst interview questions shared by candidates
You have 3 cards, each labeled n, n+1, n+2 and you don't know n. The rules of the game: All cards start face down. You flip one card. If you "stay", you get that card's value. If you don't "stay", then you flip another card. Again, choose to "stay" (and keep the 2nd card's value) or flip the final card and keep the final card's value. Design the optimal strategy.
You have 2 clocks, that are x hours apart. What is the probability that at any given time, both clocks' minute and hour hands form acute angles?
There are 4 balls, two red and the two blue. You choose a color each time and a random ball is picked from the sample (w/o replacement). If your choice and the random pick matches, you gain one dollar. Repeat this four times. How much would you pay to play this game
If you could play a game just once with two choices: take $1 or have a 1/10 chance of getting $10, what would you choose? How about $1 vs 1/10 chance of $15? How about $10000 vs 1/10 chance of $100k?
there are 100 bags, each contains 100 iron bars except one that contain 100 gold bars. give you a scale, how to identify the special bag by weighting only one time?
100 pennies in a jar. 1 penny has 'heads' on both sides. You pick a penny out of the jar and give it to your friend (without looking at the penny). Your friend flips the penny in the air and gets 7 heads in a row. Which penny do you have? Why?
I have 100 coins, 99 that are heads/tails and one that is double sided heads. If I pick one of the coins at random, flip it seven times, and get 7 heads in a row, is the coin more likely to be double sided heads or a regular heads/tails coin.
19x19
'how much do you want to bet on a dice game where you can reroll if you don't like your first try?' (roughly paraphrased) = What is the expected outcome of a dice game where you can re-roll if your first roll is 1-3?
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