Difficulty Popularity

How many people must be gathered together in a room, before you can be certain that there is a greater than 50/50 chance that at least two of them have the same birthday?

Difficulty Popularity

If three friends want to know the average of their salaries, how can they know it without disclosing their actually salary to the other ones?

Difficulty Popularity

In a recreational activity, you are given four different jars of 2 liters, 4 liters, 6 liters and 8 liters respectively with an unlimited water supply. Then you are asked to measure exactly 5 liters of water using them.

How will you do it?

How will you do it?

Difficulty Popularity

Assuming i have an infinite supply of coins.

What is the fewest number of coins would be required in order to make sure each and every coin touched exactly three other coins.

What is the fewest number of coins would be required in order to make sure each and every coin touched exactly three other coins.

Difficulty Popularity

Michelangelo is being chased by a couple of cannibals who will kill him as soon as they get a hold of him. The only way to get rid of them is crossing the river bridge made of ropes and cut it on reaching the other end. He have found two diamonds in the woods each weighing 8 lbs. The rope is weak and can only accommodate a weight of 150 lbs. He weighs 140 lbs. Still he manages to cross the bridge and get rid of the cannibals with the diamonds without taking off any kind of clothing.

How?

How?

Difficulty Popularity

Four people need to cross a dark river at night.

* They have only one torch and the river is too risky to cross without the torch.

* If all people cross simultaneously then torch light wont be sufficient.

* Speed of each person of crossing the river is different.cross time for each person is 1 min, 2 minutes, 7 minutes and 10 minutes.

What is the shortest time needed for all four of them to cross the river ?

* They have only one torch and the river is too risky to cross without the torch.

* If all people cross simultaneously then torch light wont be sufficient.

* Speed of each person of crossing the river is different.cross time for each person is 1 min, 2 minutes, 7 minutes and 10 minutes.

What is the shortest time needed for all four of them to cross the river ?

Difficulty Popularity

There are three bags.The first bag has two blue rocks. The second bag has two red rocks. The third bag has a blue and a red rock. All bags are labeled but all labels are wrong.You are allowed to open one bag, pick one rock at random, see its color and put it back into the bag, without seeing the color of the other rock.

How many such operations are necessary to correctly label the bags ?

How many such operations are necessary to correctly label the bags ?

Difficulty Popularity

You are a prisoner sentenced to death. The Emperor offers you a chance to live by playing a simple game. He gives you 50 black marbles, 50 white marbles and 2 empty bowls. He then says, 'Divide these 100 marbles into these 2 bowls. You can divide them any way you like as long as you use all the marbles. Then I will blindfold you and mix the bowls around. You then can choose one bowl and remove ONE marble. If the marble is WHITE you will live, but if the marble is BLACK... you will die.'

How do you divide the marbles up so that you have the greatest probability of choosing a WHITE marble?

How do you divide the marbles up so that you have the greatest probability of choosing a WHITE marble?

Difficulty Popularity

Two friends , Torres and Lampard, meet after a long time.

Torres: Hey, how are you man?

Lampard: Not bad, got married and I have three kids now.

Torres: That's awesome. How old are they?

Lampard: The product of their ages is 72 and the sum of their ages is the same as your birth date.

Torres: Cool..But I still don't know.

Lampard: My eldest kid just started taking piano lessons.

Torres: Oh now I get it.

How old are Lampard's kids?

Torres: Hey, how are you man?

Lampard: Not bad, got married and I have three kids now.

Torres: That's awesome. How old are they?

Lampard: The product of their ages is 72 and the sum of their ages is the same as your birth date.

Torres: Cool..But I still don't know.

Lampard: My eldest kid just started taking piano lessons.

Torres: Oh now I get it.

How old are Lampard's kids?

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