Q63 / 150 · MHT CET 2024 (11 May Shift 1) · Mathematics

The bacteria increase at the rate proportional to the number of bacteria present. If the original number N doubles in 8 hours, then the number of bacteria in 24 hours will be

  • Correct answer
    A
    8 N
  • B
    16 N
  • C
    32 N
  • D
    64 N

Solution

$\begin{array}{ll} & \text { Initial number of bacteria }=\mathrm{N} \\ \therefore \quad & \text { After } 8 \text { hours number of bacteria }=2 \mathrm{~N} \\ \therefore \quad & \text { After } 16 \text { hours number of bacteria }=4 \mathrm{~N} \\ \therefore \quad & \text { After } 24 \text { hours number of bacteria }=8 \mathrm{~N}\end{array}$

Hence, the correct answer is option: 'A'.

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