Tuesday, 10 January 2017

Puzzle Collection - Interview Preparation

Fill 4 Lt using 5 Lt and 3 Lt Jars.

Puzzle : There are n Prisoners standing in a line with increasing height such that each prisoner can see the hat color of prisoners standing ahead of him but he cannot see his own hat color. Hats are of only two color , Red or Blue. Now each prisoner has to say his hat color. If he is right, he lives otherwise the Jailer will shoot him. Find the strategy to save maximum number of prisoners.

You have 9 balls, equally big, equally heavy - except for one, which is a little heavier.
How would you identify the heavier ball if you could use a pair of balance scales only twice?
Solution



You’ve got someone working for you for seven days and a gold bar to pay him. The gold bar is segmented into seven connected pieces. You must give them a piece of gold at the end of every day. What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?
Solution

You are about to leave for holiday, but you forgot socks! You race back to your room, but all the lights are off, so you can't see the color of the socks.
Never mind, because you remember that in your drawer there are ten pairs of white socks, ten pairs of black socks, and eleven pairs of blue socks, but they are all mixed up.
How many of your socks do you need to take before you can be sure to have at least one matching pair?
Solution

There are N nuts and N bolts, u have to find all the pairs of nuts and bolts in minimum no. of iteration (comparision). All the nuts/bolts might have different diameter.
Solution

There are chocolates each worth x. You have total amount y with you. And you can exchange z wrappers for 1 chocolate. So in this way how many chocolates he can eat.

There is a pond in which there is x kg ice on 1st November, it becomes 2x on 2nd November then 4x,8x,16x,32x and so on.Like this whole pond is filled with ice on last day i.e. 30th November. On which day pond was filled with half the ice ?

You have 100 coins on table, 60 heads and 40 tails. With your eyes closed, how can you separate the coins into 2 groups such that each group has same number of tails.

You have 3 jars that are all mislabeled. One jar contains Apple, another contains Oranges and the third jar contains a mixture of both Apple and Oranges.
You are allowed to pick as many fruits as you want from each jar to fix the labels on the jars. What is the minimum number of fruits that you have to pick and from which jars to correctly label them?
Solution

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