Accenture Interview Puzzles

You’re going to a friends house and want to give them some brownies. On the way to their house you cross 5 bridges. At each bridge you must pay a toll of half of your brownies to the owner. But they are all very nice and give you back a brownie from what you give them.
How many brownies must you start with to give your friend 2 brownies?
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You are awoken at 3 A.M. by a knock on your door. Your parents call you to let you know that they are there for breakfast. You are confused but quickly think of what food you have. You have bread, jam, and eggs.
What do you open first?
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In a pond there are some flowers with some bees hovering over the flowers. How many flowers and bees are there if both the following statements are true: 1. If each bee lands on a flower, one bee doesn’t get a flower. 2. If two bees share each flower there is one flower left out.
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Take a piece of paper and draw a Pi as shown in the figure. Now cut it from the given places. If you do it right, you will have five pieces in your hands now. Can you rejoin them in a manner that the final figure becomes a square ?
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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 ?
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