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Citigroup Interview Puzzle #1 - Interview Marble Logic Puzzle

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You are given a set of scales and 12 marbles. The scales are of the old balance variety. That is, a small dish hangs from each end of a rod that is balanced in the middle. The device enables you to conclude either that the contents of the dishes weigh the same or that the dish that falls lower has heavier contents than the other.
The 12 marbles appear to be identical. In fact, 11 of them are identical, and one is of a different weight. Your task is to identify the unusual marble and discard it. You are allowed to use the scales three times if you wish, but no more.

Note that the unusual marble may be heavier or lighter than the others. You are asked to both identify it and determine whether it is heavy or light.

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Citigroup Interview Puzzle #2 - Famous Egg Floor Riddle

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* You are given 2 eggs.
* You have access to a 100-story building.
* Eggs can be very hard or very fragile means it may break if dropped from the first floor or may not even break if dropped from 100th floor.Both eggs are identical.
* You need to figure out the highest floor of a 100-story building an egg can be dropped without breaking.
* Now the question is how many drops you need to make. You are allowed to break 2 eggs in the process

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Citigroup Interview Puzzle #3 - Crossing The River In Minimum Time Puzzle

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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 ?

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Citigroup Interview Puzzle #4 - Cake Grandma bridge Logic Problem

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Rohit is on his way to visit your Grandma, who lives at the end of the state.It's her birthday, and he want to give her the cakes that he has made.Between his place and her grandma house, he need to cross 7 toll bridges.
Before you can cross the toll bridge, you need to give them half of the cakes you are carrying, but as they are kind trolls, they each give you back a single cake.

How many cakes do rohit have to carry with him so he can reach his grandma home with exactly 2 cakes?

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Citigroup Interview Puzzle #5 - Critical Thinking Interview Question

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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?

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