Dividing up a pie among guests.
A huge pie is divided among a 100 guests.
Label the guests from 1 to 100. The Guest 1, Guest 2.... etc.
The first guest gets 1% of the pie.
The second guest gets 2% of the remaining part.
The third guest gets 3% of the rest, etc.
The last guest gets 100% of the last part.
Now the question is: who gets the biggest piece ?
Let the guest who gets the biggest piece be the Nth guest.
What is N ?
The answer is 10.
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