A quick brain teaser for you..

Its a very simple puzzle which just needs a click in your brain. Lets see if it works for you...

In the central jail of a remote town, 3 innocent prisoners(say A, B and C) were chosen among various others. The cruel jailor told them to sit on three chairs kept one after another in such a way that C can see both man A and man B, man B can see only man A, and man A can see none of the other men. Now the jailor shows them 5 hats out of which 2 are black and 3 are white. Now he blindfolds the prisoners and put one hat on each of the prisoner's head. Now the blindfolds are removed and the jailor tells that if anyone of them will be able to determine the color of his hat within one minute without looking at his own head and looking backwards, all of you will be released. Otherwise you all will be executed. After 59 seconds, the first prisoner A shouts out the (correct) color of his hat.

Can you guess what was his answer and how did he conclude to it?

Tricky puzzle of three vessels

This is a question which i found very simple but the solution was so tricky. Lets see if you guys can come out with the solution :

There has been a fare in your town where there is a very popular contest namely lucky winner contest. The rule of the contest states :

'You will be given three closed vessels in which you know there is a 100 rupee note inside exactly one of these vessels and in other two there is nothing. You have to choose the one with 100 rupee note to win the contest'

You tried your luck and select one of the three vessels, but before you could open it to know if you win or loose, the contest master deliberately picks out a remaining empty vessel and shows that there is nothing in it. After this, the contest master offers you a chance to switch the vessel you chose with the remaining closed vessel.

Now the question is should you stick to your choice or should you switch the vessel in order to maximize your chances of wining the contest?

Tricky Cards Puzzle

You are given a total of 23 cards. Each of these cards has a cross(as shown) image on one side, and a circle image on the other side. You have been told that 14 cards in the set are laying with the cross up, and therefore remaining 9 cards are with the circle up. But you don't know the order in which the cards are. Moreover, you are in a totally dark room, so that you can't see anything.

How will you, without seeing anything, divide the set of cards in two smaller sets, in such a way that both sets have the same number of cards with a cross up?

Find the two numbers?

Two whole numbers, m and n, have been chosen. Both are unequal to 1 and the sum of them is less than 100. The product, m × n, is given to mathematician X. The sum, m + n, is given to mathematician Y. Then both mathematicians have the following conversation:

X: "I have no idea what your sum is, Y."
Y: "That's no news to me, X. I already knew you didn't know that."
X: "Ahah! Now I know what your sum must be, Y!"
Y: "And now I also know what your product is, X!"

What are the numbers m and n?