The Hardest Logic Puzzle in the World

Blue Eyes


A group of people with assorted eye colors live on an island. They are all perfect logicians -- if a conclusion can be logically deduced, they will do it instantly. No one knows the color of their eyes. Every night at midnight, a ferry stops at the island. Any islanders who have figured out the color of their own eyes then leave the island, and the rest stay. Everyone can see everyone else at all times and keeps a count of the number of people they see with each eye color (excluding themselves), but they cannot otherwise communicate. Everyone on the island knows all the rules in this paragraph.

On this island there are 100 blue-eyed people, 100 brown-eyed people, and the Guru (she happens to have green eyes). So any given blue-eyed person can see 100 people with brown eyes and 99 people with blue eyes (and one with green), but that does not tell him his own eye color; as far as he knows the totals could be 101 brown and 99 blue. Or 100 brown, 99 blue, and he could have red eyes.

The Guru is allowed to speak once (let's say at noon), on one day in all their endless years on the island. Standing before the islanders, she says the following:

"I can see someone who has blue eyes."

Who leaves the island, and on what night?


There are no mirrors or reflecting surfaces, nothing dumb. It is not a trick question, and the answer is logical. It doesn't depend on tricky wording or anyone lying or guessing, and it doesn't involve people doing something silly like creating a sign language or doing genetics. The Guru is not making eye contact with anyone in particular; she's simply saying "I count at least one blue-eyed person on this island who isn't me."

And lastly, the answer is not "no one leaves."

old joke,new joke

THE OLD JOKE:
Santa(on the phone)-Mom i have a good news for you!
Mom- Whats it son!
Santa- We were 2 and now we are 3.
Mom -Congrats !! Is it a boy or a girl!!
Santa- No i have married again.

______________________________

THE NEW JOKE
Santa(on the phone)-Mom i have a good news for you!
Mom- Whats it son!
Santa- We were 2 and now we are 3.
Mom -Congrats !! Is it a boy or a girl!!
Santa- No i have married again.
Mom- Yeah but tell me is it a boy or a girl!!

Pioneers of Puzzle Spot + add-ons

In the pic are the contributors of this great blog all suited up just for a photo to be put up for all the viewers of this blog. (No other reason)!
Starting from left:
Ananth Govind Rajan (AGR), Shikhar Srivastav(bring it on) , {add-on}, Shashwat Gangwar( Einstein), Sajal Jain(Newton)

jee 2008 math question

well i cudnt do the question but the after looking at the solution i rate this question very high. lets see who can do it.

Lets remember them once again.

I ask you all to chip in and tell which are your "favorite" puzzles, lets remember them and list them all in this post.....

I start with sajals qustion(and i know mayank loves this), where the son whos ship reaches last is the heir and the wise man asks them to switch the ships. simply amazing!!!   sheer awsomeness!!!

Please share you fav. puzzles too.

PS: By the way i have left Monkey Dance for you Mayank ;).

IIT-JEE 2009

A real Puzzle

There is a desert of 1000km stretch. The two endpoints are A and B. A camel is standing at A and there are 3000 bananas. The camel can carry a maximum of 1000 bananas on his back. The camel eats 1 banana for travelling 1km. Now the problem is to find the maximum no. of bananas the camel can carry from to B.

A mathematical question

A man is initially standing at a certain point A. He starts walking 100 metres towards the east, then 50 metres towards the north, then 25 metres towards the west, then 12.5 metres towards the south, then 6.25 metres towards the east, then 3.125 metres (half of the previous distance) towards the north, and so on. Finally, He reaches a final point B after repeatedly walking in this fashion. What is the distance between points A and B?

Perfect in limits...hmmmm?

I think you have attained mastery in limits. So try out the following two problems..Similar but quite different......and please don't hesitate to comment...

So here they are:

1.

2.

I think its obvious that the answer is not obvious!

Elements - Periodic Table Song

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Listen and enjoy
Its fun