MHT CET202016 Oct 2020Evening ShiftMathematicsDifferential EquationsActual
The micro-organisms double themselves in 3 hours. Assuming that the quantity increases at a rate proportional to it self, then the number of times it multiplies themselves in 18 years is
Options
- A32
- B64
- C128
- D40
Correct answer
B. 64
Step-by-step solution
(B) Let initial number of microorganisms be N . The microorganisms double themselves in 3 hours. Number of microorganisms after 3 hours =2 N =2 ~N o hours =2 2 ~N =4 ~N 9 hours =2 4 ~N =8 ~N 12 hours =2 8 ~N =16 ~N 15 hours =2 16 ~N =32 ~N 18 hours =2 32 ~N =64 ~N