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A certain population of bacteria doubles every 10 minutes.

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by BTGModeratorVI » Wed Feb 26, 2020 4:16 pm

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A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^4, what was the number in the population 1 hour later?

(A) 2(10^4)
(B) 6(10^4)
(C) (2^6)(10^4)
(D) (10^6)(10^4)
(E) (10^4)^6

Answer: C
Source: Official Guide
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Re: A certain population of bacteria doubles every 10 minutes.

by Brent@GMATPrepNow » Fri Feb 28, 2020 9:30 am
BTGModeratorVI wrote: ↑
Wed Feb 26, 2020 4:16 pm
 A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^4, what was the number in the population 1 hour later?

(A) 2(10^4)
(B) 6(10^4)
(C) (2^6)(10^4)
(D) (10^6)(10^4)
(E) (10^4)^6

Answer: C
Source: Official Guide
Let's list some populations and look for a pattern

Initial population: 10⁴
10 minutes later: (10⁴)(2)
20 minutes later: (10⁴)(2)(2)
30 minutes later: (10⁴)(2)(2)(2)
40 minutes later: (10⁴)(2)(2)(2)(2)
50 minutes later: (10⁴)(2)(2)(2)(2)(2)
60 minutes later: (10⁴)(2)(2)(2)(2)(2)(2) = (10⁴)(2⁶)

Answer: C

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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Re: A certain population of bacteria doubles every 10 minutes.

by Scott@TargetTestPrep » Sat Feb 29, 2020 11:09 am
BTGModeratorVI wrote: ↑
Wed Feb 26, 2020 4:16 pm
 A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^4, what was the number in the population 1 hour later?

(A) 2(10^4)
(B) 6(10^4)
(C) (2^6)(10^4)
(D) (10^6)(10^4)
(E) (10^4)^6

Answer: C
Source: Official Guide
Since one hour has 6 ten-minute intervals, after one hour the population is 10^4 x 2^6.

Answer: C

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