Latest TCS Aptitude Question SOLUTION: Each cell of a certain kind of bacteria produces two more cells. The life span of each cell is 10 minutes and each cell multiples only once in its life time, when it is exactly on

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(#M40040681) TCS Category question cells Keep an EYE

Each cell of a certain kind of bacteria produces two more cells. The life span of each cell is 10 minutes and each cell multiples only once in its life time, when it is exactly one minute old. If a new cell is placed in an empty box at time t = 0, then how many live cells will be there in the box just after t = 20 minutes?
(1) 2048 × 1023 (2) 1024 × 1023 (3) (1024)² (4) 1023 × 1025

Asked In TCS Anant Narayan Saxena (9 years ago)

Solved Deeksha Khemariya Read Solution (5)

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Read Solution (5) :

Abhas  (9 years ago)

see total cells created after
1min be 2^1
2min be 2^2
3 min be 2^3.......
thus after 20 min 2^20 will be created
now after 10 min 1 cell will die (2^0)
after 11 min 2 cells die (2^1)
similarly after 20 min 2^10 cells die
thus total cells remained=(2^20)-(1024)
or (1024)^2-1024
or1024*(1024-1)
i.e, 1024*1023

Is this solution Helpfull? Yes (23) | No   

Deeksha Khemariya  (9 years ago) Best Solution

since a cell is kept at t=0
then at t=9 cells=2^10=1024
at t=10 ,1 cell dies then remaining cells=1023
at t=19 , cells =2^10=1024
but 1 cell dies then remaining cells=1023
at t=20 1 new cell borns then total cells=1023+1=1024
so the correct answer is 1024 x 1023

Is this solution Helpfull? Yes (10) | No (4)  

shaurya neel  (9 years ago)

2^11 + 2^12 +......+ 2^20 = 1023 X 2048....

Is this solution Helpfull? Yes (8) | No (4)  

Priyanka89566  (9 years ago)

Can you please explain more precisely

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Priya patel  (9 years ago)

Email id-priyapatel1893@gmail.com

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