Brain Teasers & Puzzles
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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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