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Q2 PERCENTAGES

One bacterium splits into eight bacteria of the next generation. But due to environmental condition only 50% survives and remaining 50% dies after producing next generation. If the seventh generation number is 4,096 million, what is the number in first generation?

a. 1 million

b. 2 million

c. 4 million

d. 8 million

let's say x is the initial number of bacterias:

So in 2nd generation no. of bacterias == 4

In 3rd generation, it will be = 16x

4th gen = 64x

5th gen. = 256x

6th gen. = 1024x

7th gen. = 4096x

Hence x = 1 million

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