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Every hour the number of bacteria in a sample doubles. If the original number of bacteria is 100, and 50 bacteria are removed every two hours, after f
Question



Every hour the number of bacteria in a sample doubles. If the original number of bacteria is 100, and 50 bacteria are removed every two hours, after five hours, there are

A.

2500 bacteria

B.

2700 bacteria

C.

1350 bacteria

D.

2800 bacteria

Correct option is B

The original number of bacteria = 100
After one hour the number of bacteria = 200
Since every hour bacteria in a sample doubles
So after two hours, the number of bacteria = 400
But after every two hours, 50 bacteria are removed so the number of bacteria after two hours = 400 - 50 = 350
In the third hour number of bacteria = 700
In the fourth hour the number of bacteria = 1400
After removal of 50 bacteria = 1400 - 50 = 1350
In the fifth hour the number of bacteria = 2700

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