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THE TEASER

You put money in your new bank account every day. You deposit 
money in your bank account in such a way that the money doubles 
with each passing day. If you put 1 cent the first day, 2 cents the second day, 4 cents the third day and so on, then your bank gets full on the 9th day. 
On which day will your bank account be half-full?

VIEW SOLUTION BELOW
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THE SOLUTION

Since the money in the bank account doubles with each passing day, the bank account will be half-full the day previous to the one on which it gets full. Therefore, the bank account will be half-full on the 8th day.

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