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At the start of an experiment,

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boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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At the start of an experiment,

Post Wed May 04, 2016 4:33 am
At the start of an experiment, a certain population consisted of 3 animals. At the end of each month after the start of the experiment, the population size was double its size at the beginning of that month. Which of the following represents the population size at the end of 10 months?

A) 2^3
B) 3^2
C) 2(3^10)
D) 3(2^10)
E) 3(10^2)

OA: D

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Post Wed Dec 13, 2017 10:16 am
boomgoesthegmat wrote:
At the start of an experiment, a certain population consisted of 3 animals. At the end of each month after the start of the experiment, the population size was double its size at the beginning of that month. Which of the following represents the population size at the end of 10 months?

A) 2^3
B) 3^2
C) 2(3^10)
D) 3(2^10)
E) 3(10^2)
We are given that a certain population consisted of 3 animals and that at the end of each month after the start of the experiment, the population size was double what it had been at the beginning of that month. Thus:

End of Month 1 = 3 x 2 = 3 x 2^1

End of Month 2 = 3 x 2 x 2 = 3 x 2^2

End of Month 3 = 3 x 2 x 2 x 2 = 3 x 2^3

We see that after each month the value increases by a factor of two. Thus:

End of Month 10 = 3 x 2^10

Answer: D

_________________
Jeffrey Miller Head of GMAT Instruction

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OptimusPrep Master | Next Rank: 500 Posts
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Top Reply
Post Wed May 04, 2016 7:47 pm
boomgoesthegmat wrote:
At the start of an experiment, a certain population consisted of 3 animals. At the end of each month after the start of the experiment, the population size was double its size at the beginning of that month. Which of the following represents the population size at the end of 10 months?

A) 2^3
B) 3^2
C) 2(3^10)
D) 3(2^10)
E) 3(10^2)

OA: D
Population at start = 3
Population at end of 1st month = 2*3
Population at end of 2nd month = 2^2*3
....
....
Population at end of 10th month = 2^10*3

Correct Option: D

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Post Wed Dec 13, 2017 10:16 am
boomgoesthegmat wrote:
At the start of an experiment, a certain population consisted of 3 animals. At the end of each month after the start of the experiment, the population size was double its size at the beginning of that month. Which of the following represents the population size at the end of 10 months?

A) 2^3
B) 3^2
C) 2(3^10)
D) 3(2^10)
E) 3(10^2)
We are given that a certain population consisted of 3 animals and that at the end of each month after the start of the experiment, the population size was double what it had been at the beginning of that month. Thus:

End of Month 1 = 3 x 2 = 3 x 2^1

End of Month 2 = 3 x 2 x 2 = 3 x 2^2

End of Month 3 = 3 x 2 x 2 x 2 = 3 x 2^3

We see that after each month the value increases by a factor of two. Thus:

End of Month 10 = 3 x 2^10

Answer: D

_________________
Jeffrey Miller Head of GMAT Instruction

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