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Puzzle 27: Drop the Egg

You want to test the highest floor of  a 150 strorey building, from which an egg can survive the drop. However, you can use maximum of two eggs. How many testings (drops) you need to perform, in worst scenario, to identify the highest floor from which the dropped egg will not shatter?

Assume that,
1. If egg survives the drop, it will remain unchanged.
2. If an egg breaks at a floor, it will break at every floor above it.
3. If an egg survives a floor, it will survive for all floors below it.
4. All eggs are identical.

Can you identify the maximum number of egg droppings, in wrost scenario, using only two eggs?