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Aptitude · Q10

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Competitive Exams · Aptitude · question 10

Q10

A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time t = 0, the find the total number of live bacteria just after 10 seconds :

A.
B.
310 - 210
C.
243 × (35 -1)
Answer
D.
310 - 25
E.
None of these

Answer: Option C

Solution

Answer: Option C
Solution:
Total number of bacteria after 10 seconds,
= 310 - 35
= 35 × (35 -1)
= 243 × (35 -1)
Since, just after 10 seconds all the bacterias (i.e. 35 ) are dead after living 5 seconds each.