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Register now and save up to $200 Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code ## At the start of an experiment, tagged by: Brent@GMATPrepNow This topic has 2 expert replies and 1 member reply boomgoesthegmat Senior | Next Rank: 100 Posts Joined 25 Apr 2016 Posted: 93 messages Upvotes: 1 #### At the start of an experiment, 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 Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums! ### GMAT/MBA Expert Jeff@TargetTestPrep GMAT Instructor Joined 09 Apr 2015 Posted: 506 messages Followed by: 6 members Upvotes: 39 Top Reply 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 OptimusPrep Master | Next Rank: 500 Posts Joined 13 Mar 2015 Posted: 410 messages Followed by: 7 members Upvotes: 120 GMAT Score: 770 Top Reply 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 _________________ Ankur 99th Percentile GMAT Tutor | Optimus Prepâ„¢ Optimus Prepâ„¢ GMAT Courses: www.Optimus-Prep.com/GMAT Free Online Trial Hour: http://www.optimus-prep.com/request-free-online-trial-hour/ Free GMAT Study Plan: http://www.optimus-prep.com/ebook/ Optimus Prepâ„¢ Rates: GMAT Private Tutoring Online:$80-100/hr.*
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### GMAT/MBA Expert

Jeff@TargetTestPrep GMAT Instructor
Joined
09 Apr 2015
Posted:
506 messages
Followed by:
6 members
39
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

_________________
Jeffrey Miller Head of GMAT Instruction

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