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At the start of an experiment,

This topic has 1 expert reply and 1 member reply
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
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    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 May 04, 2016 12:19 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)

    This is a great candidate for creating a growth table (for more on this see this video: https://www.gmatprepnow.com/module/gmat-word-problems/video/929 )

    - Start: 3 animals
    - End of month 1: (3)(2) animals [since the population doubles each month]
    - End of month 2: (3)(2)(2) animals
    - End of month 3: (3)(2)(2)(2) animals
    - End of month 4: (3)(2)(2)(2)(2) animals
    .
    .
    .
    We can see the pattern and recognize that, at the end of month 10, we'll have the product of one 3 and ten 2's.
    .
    .
    - End of month 10: (3)(2)^10

    Answer: D

    Cheers,
    Brent

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    OptimusPrep Master | Next Rank: 500 Posts
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    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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