CAT 1998 Question Paper Question 45

Question 45

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


let's say x is the initial number of bacterias :
So in 2nd generation no. of bacterias = $$\frac{8x}{2} = 4x$$
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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1 year, 4 months ago

Sir isn't it given the 50% would die after producing the next generation.... But you have taken that...tha 50% dies before the next generation is produced. Which one is correct...pls help

Bhargabi Borah

11 months ago



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