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Altium Interview Puzzle #1 - Hard Probability Problem

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There is no electricity in your home. You have to wear socks. You trace the drawer and find out that there are four socks in your drawer. The socks can be either black or white. You take out two of the socks from the drawer. Now the probability that the two socks are black is 1/2.

Can you calculate the probability of taking out a pair of white socks from the drawer?

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Altium Interview Puzzle #2 - Famous Elevator Riddle

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Tanu lives on the 13th floor takes the elevator down to the ground floor every morning and goes to her office.

In the evening, when she comes back on a rainy day , or if there are other people around in the elevator, she goes to her 13th floor directly. Otherwise, she goes to the 1oth floor and walks up three flights of stairs to his apartment.

Whats the reason for her unusual behavior ?

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Altium Interview Puzzle #3 - Prisoner Emperor Brain Teaser

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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?

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Altium Interview Puzzle #4 - Water Gallon Brain Teaser

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This is a logical test and if you can do it then you have a better logical mind than half of the population.
There are two measuring baskets: one has the capacity of 5 gallons and the other has the capacity of 3 gallons. If you are given with unlimited supply of any liquid, how will you measure 4 gallons of that liquid in the least moves?

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Altium Interview Puzzle #5 - Interview Brain Teaser

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You are suffering from fever and cold. Your mother gives you four identical tablet which comprise of two tablets for fever and two tablets for cold. Now by no means you can identify which tablet serves which purpose.

You have to take 1 tablet for fever and 1 tablet for cold to cure your condition. What will you do?

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