Brain Teasers & Puzzles
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One day three Greek philosophers settled under the shade of an olive tree, opened a bottle of Retsina, and began a lengthy discussion of the Fundamental Ontological Question: Why does anything exist?
After a while, they began to ramble. Then, one by one, they fell asleep.
While the men slept, three owls, one above each philosopher, completed their digestive process, dropped a present on each philosopher’s forehead, the flew off with a noisy “hoot.”
Perhaps the hoot awakened the philosophers. As soon as they looked at each other, all three began, simultaneously, to laugh. Then, one of them abruptly stopped laughing. Why?
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The five pirates mentioned previously(http://puzzlefry.com/puzzles/gold-coins-puzzle/)are joined by a sixth, then plunder a ship with only one gold coin.
After venting some of their frustration by killing all on board the ship, they now need to divvy up the one coin. They are so angry, they now value in priority order:
1. Their lives
2. Getting money
3. Seeing other pirates die.So if given the choice between two outcomes, in which they get the same amount of money, they’d choose the outcome where they get to see more of the other pirates die.
How can the captain save his skin?
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Five puzzleFry ship’s pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all extremely intelligent, treacherous and selfish (especially the captain).
The captain always proposes a distribution of the loot. All pirates vote on the proposal, and if half the crew or more go “Aye”, the loot is divided as proposed, as no pirate would be willing to take on the captain without superior force on their side.
If the captain fails to obtain support of at least half his crew (which includes himself), he faces a mutiny, and all pirates will turn against him and make him walk the plank. The pirates start over again with the next senior pirate as captain.
What is the maximum number of coins the captain can keep without risking his life?
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A king wants his daughter to marry the smartest of 3 extremely intelligent young princes, and so the king’s wise men devised an intelligence test.
The princes are gathered into a room and seated, facing one another, and are shown 2 black hats and 3 white hats. They are blindfolded, and 1 hat is placed on each of their heads, with the remaining hats hidden in a different room.
The king tells them that the first prince to deduce the color of his hat without removing it or looking at it will marry his daughter. A wrong guess will mean death. The blindfolds are then removed.
You are one of the princes. You see 2 white hats on the other prince’s heads. After some time you realize that the other prince’s are unable to deduce the color of their hat, or are unwilling to guess. What color is your hat?
Note: You know that your competitors are very intelligent and want nothing more than to marry the princess. You also know that the king is a man of his word, and he has said that the test is a fair test of intelligence and bravery.
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We have an egg problem again. There is a 36 story building for which you have complete access. You have two eggs and you must follow the below facts:
An egg that does not breaks on falling can be re used.
1) A broken egg will be discarded immediately
2) All the eggs will experience the same effect of the fall as all the eggs are identical.
3) Suppose if an egg breaks on falling from first floor, it will definitely break from all the floors above the first floor.
4) If an egg does not breaks from falling from the thirty sixth floor, it will not break from all the floor below it as well.
5) All you have to do is find out the minimum drops with which you can determine the floor which is safe to drop eggs from.
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You have infinite supply of water. You also have 5 quart and 3 quart buckets. What is the least number of steps you will require to measure precisely 4 quarts?
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Here is a situation. You have 10 boxes that contains balls with each of the ball weighing 10 grams precisely. Now among the boxes, one of the box comprises of defective balls with each defective ball weighing 9 grams. You have been provided with an electronic weighing machine but you are allowed to use it only once.
Can you find out which box contains defective balls?
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A train is moving from station A to station B at 15 mph. Another train is moving in the opposite direction from station B to A at a speed of 20mph. A vulture is flying from Station A to station B at 25 mph. When the vulture reaches at the train moving from Station B to A, it starts flying back and flies at the same speed till it reaches the train moving from station A to B and starts flying in the reverse direction again. The vulture keeps flying to and fro till both the trains collide with each other.
What is the total distance that is traveled by the vulture?
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You are a king of an empire. You have a servant working in your palace. He works all the seven days and you only pay him in the form of gold bar. You must pay the worker for his work every day at the end of the day.
If you are only able to make two breaks in the gold bar, how will you pay the servant if the servant works for the equal time every day and thus equal amount must be paid at the end of the day?
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There is an equilateral triangle and three bugs are sitting on the three corners of the triangle. Each of the bugs picks up a random direction and starts walking along the edge of the equilateral triangle. What is the probability that none of the bugs crash into each other?
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Amanda dies and reaches at the gate of heaven. She has three doors in front of her out of which only one of them leads to heaven. Out of the other two gates, one leads to hell for one day and then back to the gate and one leads to hell for two days and then back to the gate. If she chooses one of these two gates, the gates are shuffled when she returns back.
How long will Amanda take to reach heaven?
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23 selected prisoners are summoned by the warden. He gives them a choice of playing a game with him that might ensure their escape from the prison or might as well lead them towards painful death. The prisoners think that this is the only chance for them to be free again and agrees to him.
The warden tell them that there is a room which has just two switches which are labelled 1 or 2. The switches may be up or down and the condition is not known at present. They are not connected to anything. The warden may select any prisoner on any day and send him to the switch room. The prisoner will have to select any one switch and reverse its position i.e. if it is up, he will turn it down and if it is down, he will turn it up. He can and must only flip one switch and then he will be confined to his cell again.
The warden may choose the same prisoner more than one time and he will be choosing completely randomly. But at a certain point of time, everyone will have visited the switch room. And at any time, the prisoners may declare that everyone has visited the room at least once. If they will be true, they will be set free but if they will be wrong, they will be killed.
The warden gives them an hour to plan any kind of strategy and then they will be confined to their respective cells and will never be allowed to meet. What strategy can help them be free?
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There is a town named Panem. The town is well built and have every facility available to the citizens. It comprises of 100 married couples. The husbands of the town are very loyal to their wives but that happens for a reason. There is a rule that is followed by the people of the town. If any wife finds out about her husband’s infidelity, the husband is immediately executed.
No woman in the town talks about their own husband and all they do is gossip about others’. Thus every woman in the town is familiar with all the other unfaithful husbands but does not know about their own. This can also be explained as that the husbands remain glued lip about their own unfaithfulness.One day, the mayor of the town announces to the people that there is at least one cheating husband in the town. What will happen now?
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Two observations were made of a clock at different time:
1st observation:
The hour hand is exactly at a minute mark and the minute hand is six minutes ahead of it.2nd observation:
The hour hand is exactly on a dissimilar minute mark and the minute hand is seven minutes ahead of it.Can you find out how much time has passed between the above two observations?
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