Vamsi Pavan’s Place

Question : Can you place seven points in a plane so that if any three of them are chosen, then at least two of them lie at a unit distance from each other?
Answer : Sorry guys, I don’t know the solution. If you know it, post as comment here. I can update here.

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Question : Here are some problems based on finding the defective machine from given machines. All the machines are identical and produce indentical coins of 10 grams each.
You are given 10 machines. One machine is defective and it produces coins which are heavier or lighter than the other coins by 1 gram. You are […]

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Question : A man is driving to his father’s funeral when he is involved in a serious road accident.
He is rushed to hospital and is lying on the operating table when the surgeon walks in, looks at him and exclaims “That’s my son!”.
How can this be ?
Answer : The Surgeon is his mother.
Apparently not […]

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Question : You are in the attic of a building. On the wall are three numbered light switches.
Down in the basement are three numbered light bulbs, each is connected to one switch. You don’t know which switch is connected to which light. You do know that they are all off to start with.
You can […]

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Question : This is a classic brain teaser and probably appears in a variety of forms.
The version here is based on the 1970’s series of Dr Who, “The Pyramids of Mars”.
You are forced to flee for your life down a long tunnel.
At the end of the tunnel are two doors and next to each door […]

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Question : You have in your possession two fuses; the classic burning kind used for detonating dynamite, and also a box of matches.
Each fuse burns for exactly one hour but the burning process is completely erratic making it impossible to determine how much time is left simply by looking at the fuse.
Your task is to […]

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Question : Four people need to cross a narrow bridge at night.The bridge will only hold a maximum of two people. A torch must be carried by someone crossing the bridge - else they will fall in! But there is only one torch.
One person takes 10 minutes to cross, another 5 minutes, another 2 minutes […]

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Question : There are three prisoners A, B and C. A knows that two of the three are going to be released. Obviously the probability that A is released is 2/3. Now A becomes curious and asks the jailor,”Which two of us will be let go?”
The jailor replies,”Well, I cannot tell you that, but B […]

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Question : Here is a very intellegent blind man. He was asked to do the following problem and he did it. Can you do it? Of course you have to assume that you are blind too!
On a table 100 coins have been placed. 10 of them are showing heads while 90 others are showing […]

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Question : There are three men standing in a row. All are wearing hats. The hats were chosen from a set of three black and two white hats. Nobody knows which color he himself is wearing. But the man at the back knows the colors of other men’s hats and the man in the middle […]

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