All Puzzles

  • You’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat. He then says to you, “Do you want to pick door No. 2?” Is it to your advantage to switch your choice?

    With you switch or stay with your door?

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  • Five friends pooled their resources one day and pieced a CD together from songs they had written. They called their band “The Puzzle Fry”  and ended up playing a number of live gigs at local events. Determine the full name of each band member, the instrument (or mixing console) each played, the brand of equipment each used, plus each member’s favorite magazine.

    • Steve wasn’t the sound engineer. One of the women enjoyed EQ magazine.
    • Angie and Steve didn’t like Recording magazine. The bass player used Ibanez equipment.
    • Mr. Magnus didn’t use Mackie equipment. Mark’s last name wasn’t Hydal and he didn’t play keyboard.
    • The sound engineer, whose last name wasn’t Engel, enjoyed reading Mix magazine. The person who used Yamaha drums wasn’t Robert, but their last name is Hydal.
    • The five band members (in no particular order) were: Mark Scott, the female bass player, the person who read Musician, the one who used Peavey equipment, and Robert.
    • Shelley’s last name was not Hydal or McArthur and she didn’t use Roland equipment. Mackie only developed equipment for live sound and recording NOT musical instruments.
    • Steve McArthur was the guitarist.

    Use the grid to help solve the puzzle!

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  • On Bagshot Island, there is an airport. The airport is the homebase of an unlimited number of identical airplanes. Each airplane has a fuel capacity to allow it to fly exactly 1/2 way around the world, along a great circle. The planes have the ability to refuel in flight without loss of speed or spillage of fuel. Though the fuel is unlimited, the island is the only source of fuel.
    What is the fewest number of aircraft necessary to get one plane all the way around the world assuming that all of the aircraft must return safely to the airport? How did you get to your answer?

    Notes:
    (a) Each airplane must depart and return to the same airport, and that is the only airport they can land and refuel on ground.
    (b) Each airplane must have enough fuel to return to airport.
    (c) The time and fuel consumption of refueling can be ignored. (so we can also assume that one airplane can refuel more than one airplanes in air at the same time.)
    (d) The amount of fuel airplanes carrying can be zero as long as the other airplane is refueling these airplanes. What is the fewest number of airplanes and number of tanks of fuel needed to accomplish this work? (we only need airplane to go around the world)

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