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On a Sunday I put two rabbits in a cage. If the number of rabbits in the cage doubles every day, on what day did  the cage first have more than 100 rabbits in it?

 Jan 26, 2019
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Question: On a Sunday I put two rabbits in a cage. If the number of rabbits in the cage doubles every day, on what day did the cage first have more than 100 rabbits in it?

 

Sunday: 2 rabbits in a cage

 

you are basically multiplying by a power of 2 each day because you are "doubling" the number of rabbits

 

2^6 = 64 and 2^7 = 128

 

Hence, you get Sunday, because 2^7 is the first day you have more than 100 rabbits, and 7 days is a week!

 

smiley

 Jan 26, 2019

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