A) 8 : 1
B) 16 : 1
C) 32 : 1
D) 60 : 1
Correct Answer: C
Solution :
Let the population of a bacteria culture at the beginning of the hour be\[x\]. It is given that the population doubles in number every \[12\] minutes. Thus, population after, \[12\]minutes\[=2x\] \[24\]minutes\[=2(2x)=4x\] \[36\]minutes\[=2(4x)=8x\] \[48\]minutes\[=2(8x)=16x\] \[60\]minutes (\[1\]hour) \[=2(16x)=32x\] So, the population of a bacteria culture at the end of one hour is\[32y\]. Therefore ratio of population of a bacteria culture at the end of 1 hour to population of a bacteria culture at the beginning of that hour, \[\frac{\text{Population}\,\,\text{at}\,\,\text{end}\,\,\text{of}\,\,\text{1}\,\,\text{hour}}{\text{Population}\,\,\text{at}\,\,\text{beginning}\,\,\text{of}\,\,\text{hour}}=\frac{32x}{x}\]\[=32:1\].
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