Can you find the number of seconds in an year without a calculator?
Monthly Archives for July, 2013
A vampire slayer spaceship is approaching a planet on which a vampire resides. If the spaceship sees the vampire, it instantly kills the vampire using a laser gun. The only way the vampire can survive is by staying in the part of the planet that is not in the line of sight of the spaceship. If the speed of the vampire is u, the speed … Continue reading the story "vampire slayer"
In Hughmore county, you are not allowed to build any new road that's perpendicular to an existing road. A,B and C lived at the intersections of 3 roads that form an equilateral triangle of side length 9 miles. D built a house on AC between A and C such that AD=3miles. E built a house on BC. Two new straight roads BD and AE were built. They meet … Continue reading the story "Hughmore county puzzle"
An ant is crawling from one end to the other across a 10 foot long rubber string at the speed of 1 foot per minute. Every minute, the string is stretched uniformly so that the length of the string increases by 1 foot. Will the ant ever reach the other end of the string? - via AMS Gazette puzzle corner
How many ways are there to completely fill a tic-tac-toe board with 5 crosses and 4 circles, not double counting for rotations and reflections? - via Singingbanana channel on youtube.
A game of Assassins is an 8-player game. Each player is assigned a target player for assassination. Once a player kills his/her target player, he/she takes over the target of his/her victim as his/her new target. This process continues until there is only one person alive. The last man standing is the winner. A target graph is a directed graph with players as nodes and … Continue reading the story "A Game of Assasins"
Show that n choose i and n choose j always have a common factor greater than 1, where 1Math factor and Nick's puzzles
A fence 1 meter wide is to be painted by n painters. Each painter stands at a random uniformly distributed location on the fence. (S)he then finds the closest neighbor amongst the two painters adjacent to her (the wall and a painter if she is the first or last painter). (S)he paints towards the closest painter. Once (s)he reaches an already painted portion of the … Continue reading the story "Painting a fence"
You and your friend are playing detective. You both are looking at a large 1meter by 1meter camera image. You want to find a criminal wearing white and black stripes. You found the criminal in the image. You want to prove to your friend that a criminal actually exists and you found him, but you don't want to spoil the fun for your friend. How … Continue reading the story "Find the prisoner, dont spoil the puzzle"
You play the following game with your friend: You keep tossing a coin until one of the following events occurs: 1) The last 2 coin tosses are a head followed by a tail, in which case one of you wins. 2) The last 2 coin tosses are 2 consecutive heads, in which case the other player wins. What would you rather aim, to win on heads followed by tails … Continue reading the story "Coin gambling"