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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

  1. A32
  2. B64
  3. C128
  4. 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

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