Brain Teasers & Puzzles
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You are trying to cook an egg for exactly fifteen minutes, but instead of a timer, you are given two ropes which burn for exactly 1 hour each. The ropes, however, are of uneven densities – i e , half the rope length-wise might take only two minutes to burn. How can you cook the egg for exactly fifteen minutes?
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- 2 answers
- 1 votes
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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)View SolutionSubmit Solution- 1,648.3K views
- 3 answers
- 0 votes
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You are the ruler of a medieval empire and you are about to have a celebration tomorrow. The celebration is the most important party you have ever hosted. You’ve got 1000 bottles of wine you were planning to open for the celebration, but you find out that one of them is poisoned.
The poison exhibits no symptoms until death. Death occurs within ten to twenty hours after consuming even the minutest amount of poison.
You have over a thousand slaves at your disposal and just under 24 hours to determine which single bottle is poisoned.
You have a handful of prisoners about to be executed, and it would mar your celebration to have anyone else killed.
What is the smallest number of prisoners you must have to drink from the bottles to be absolutely sure to find the poisoned bottle within 24 hours?
View SolutionSubmit Solution- 1,648.6K views
- 3 answers
- 1 votes
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The king’s only children, Abel, Benjamin and Paula, went into the forest with their friend, the elderly Sir Kay. They wanted to try their skill with their bows and arrows. Each of them started with same number of arrows.
When all the arrows had been shot, it was discovered that:1. Sir Kay brought down more game than Princess Paula.
2. Prince Benjamin captured more than Sir Kay.
3. Princess Paula’s arrows went truer than Prince Abel’s.Who was the best marksman that day?
View SolutionSubmit Solution- 1,643.7K views
- 1 answers
- 1 votes
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Meanwhile, back at the castle, the ogre found that the
boots he had picked at random from his dark storeroom
were all six-league boots. He threw them back. He
needed seven-league boots so that he could cover more
territory.
If in that dark storeroom he had four six-league boots
and eight seven-league boots, how many boots did he
have to pull out to make sure he had a pair of sevenleague
boots?View SolutionSubmit Solution- 1,641.6K views
- 1 answers
- 0 votes
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