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If you have 140 stone blocks, you can build an Egyptian square pyramid whose base has 7 blocks on each side. At the same time, you can arrange those blocks into 35 perfect 2 × 2 squares. Find a positive...

Inspired by The Big Short, you decide to enter a simulated stock market trading game with your friend. There is a cap of 1000 people who can participate in this game, everyone starts with 1 million,...

You have a box of chocolates sitting on your desk. The box has 36 different chocolates that all look identical, but have different fillings. Your friend comes to choose a chocolate, but knocks the...

You are playing the biggest game of musical chairs ever, with 6,469,693,230 chairs. The rules are a little different: an integer D is uniformly and randomly selected from 1 to 6,469,693,230 (inclusive)...

Randomly (but uniformly) sample a number between 0 and 1. Stop the first time that a sample is greater than the immediately previous sample. That is, if your samples are labeled x1,x2,etc. stop when...

A stadium has 55,000 seats. Seats sell for ?$28 in Section? A, ?$24 in Section? B, and ?$20 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose...

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