Latest TCS Aptitude Question SOLUTION: The bacteria grows in exponential manner, the bacteria proportion at 3.00 P.M is 300 then at 7.00 P. M it raise to 153600. By how much will be the proportion of bacteria at 10.00 P

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(#M40002495) TCS Logical Reasoning question Keep an EYE

The bacteria grows in exponential manner, the bacteria proportion at 3.00 P.M is 300 then at 7.00 P. M it raise to 153600. By how much will be the proportion of bacteria at 10.00 P.M?

Solution

here 7.00 P.M. in the question is wrongly printed it should be 6.00 P.M.
answer is following:
let the number of bacteria is given by n = k*(a^t)
according to the given condition 300 = k*(a^0) (here 0 power represents 3.00 P.M.)
similarly 153600 = k*(a^4) (here 4 power represents total time used in hours which is 3)
on dividing second equation by first we will get 153600/300 = a^3 or 512 = a^3 so a = 8 on putting a = 8, and k = 300 by first equation
so at 10.00 P.M. number of bacteria n = k*(a^7) = 300*(8^7) = 300*2097152 = 629145600

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Asked In TCS anu gowda (12 years ago)

Solved Read Solution (3)

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Read Solution (3) :

Mirchandnai Rahul  (12 years ago)

question is correct.
question has mentioned at 7:00 P.M.
so time till 7 o'clock will be 4 Hrs

Is this solution Helpfull? Yes (4) | No   

Harsh Gupta  (12 years ago)

question is wrong...

Is this solution Helpfull? Yes (2) | No (13)  

ajitesh koushal  (12 years ago)

answer is 268275

Is this solution Helpfull? Yes (1) | No (5)  

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