Brain Teasers & Puzzles
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Outside a room there are three light switches. One of switch is connected to a light bulb inside the room.
Each of the three switches can be either ‘ON’ or ‘OFF’.You are allowed to set each switch the way you want it and then enter the room(note: you can enter the room only once)
Your task is to then determine which switch controls the bulb ??
View SolutionSubmit Solution- 1,462.2K views
- 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- 1,485.8K views
- 4 answers
- 1 votes
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In the Puzzle Fry criminal court A man was being accused of having stolen certain valuable jewels and trying to run away with them, when he was caught by a smart police officer who overtook him.
In cross examination the lawyer for accused asked the police officer how he could catch up with the accused who was already seven steps ahead of him, when he started to run after him. ‘Yes Sir.’ The officer replied. ‘He takes eight steps to every five of mine !
‘But then officer,’ interrogated the lawyer, ‘how did you ever catch him. if that was the case?’
‘That’s easily explained sir,’ replied the officer, I got a longer stride… two of my steps equal in length to his five. So the number of steps 1 required were fewer than his. and this brought me to the spot where I captured him.’
A member of the jury, who was particularly good at quick calculations did some checking and figured out the number of steps the police officer must have taken.
Can you also find out how many steps the officer needed to catch up with the thief?View SolutionSubmit Solution- 1,464.3K views
- 1 answers
- 1 votes
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There are eleven different ways of writing 100 in the form of mixed numbers using all the nine digits once and only once. Ten-of the ways have two figures in the integral part of the number, but the eleventh expression has only one figure there.
Can you find all the eleven expressions?View SolutionSubmit Solution- 1,459.5K views
- 1 answers
- 1 votes
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It is a small town railway station and there are 25 stations on that line. At each of the 25 stations the passengers can get tickets for any of the others 24 stations.
How many different kinds of tickets do you think the booking clerk has to keep?View SolutionSubmit Solution- 1,458.0K views
- 1 answers
- 1 votes
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Some months back, this year, I was walking through the Central Park in New York.
I saw an intelligent looking little boy playing all by himself on the grass. I decided to talk to him and just as an excuse to start the conversation I asked him his age. A mischivious glint flickered in his eyes and he replied, ‘Two days back I was ten years old, and next year I shall be thirteen. If you know what’s today you’ll be able to figure out my birthday and that’ll give you my age.’ I looked at him bewildered. How old was the boy?View SolutionSubmit Solution- 1,457.6K views
- 1 answers
- 1 votes
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A short man takes three steps to a tall man’s two steps. They both start out on the left foot. How many steps do they have to take before they are both stepping out on the right foot together?
View SolutionSubmit Solution- 1,458.4K views
- 2 answers
- 1 votes
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Three ants are sitting at the three corners of an equilateral triangle. Each ant starts randomly picks a direction and starts to move along the edge of the triangle. What is the probability that none of the ants collide?
View SolutionSubmit Solution- 1,501.2K views
- 3 answers
- 1 votes
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Four people need to cross a rickety bridge at night. Unfortunately, they have only one torch and the bridge is too dangerous to cross without one. The bridge is only strong enough to support two people at a time. Not all people take the same time to cross the bridge. Times for each person: 1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the bridge?
View SolutionSubmit Solution- 1,501.3K views
- 4 answers
- 1 votes
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You’ve got someone working for you for seven days and a gold bar to pay him. The gold bar is segmented into seven connected pieces.
You must give them a piece of gold at the end of every day.
What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?
View SolutionSubmit Solution- 1,518.6K views
- 3 answers
- 1 votes
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