On planet Simplon, each year has 12 months, each of which consists of exactly 30 days. If Simplon experiences a

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by BTGmoderatorDC » Sun Mar 07, 2021 7:07 pm

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On planet Simplon, each year has 12 months, each of which consists of exactly 30 days. If Simplon experiences a political scandal every 2/3 of a year, an environmental crisis every 1/6 of a year, and a terrible movie opening every 1/36 of a year, then what is the ratio of the number of political scandals to the number of environmental crises to the number of terrible movie openings experienced over a five year period on Simplon? (Assume that all three events happen 2/3, 1/6, and 1/36 of a year after the beginning of the first year, and recur at their respective rates after that.)

A. 24 : 4 : 1
B. 1 : 4 : 24
C. 4 : 15 : 90
D. 1 : 6 : 36
E. 3 : 10 : 72

OA B

Source: Veritas Prep

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swerve: Legendary Member; Posts: 2579; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

Re: On planet Simplon, each year has 12 months, each of which consists of exactly 30 days. If Simplon experiences a

by swerve » Tue Mar 09, 2021 12:47 pm

BTGmoderatorDC wrote: ↑
Sun Mar 07, 2021 7:07 pm
On planet Simplon, each year has 12 months, each of which consists of exactly 30 days. If Simplon experiences a political scandal every 2/3 of a year, an environmental crisis every 1/6 of a year, and a terrible movie opening every 1/36 of a year, then what is the ratio of the number of political scandals to the number of environmental crises to the number of terrible movie openings experienced over a five year period on Simplon? (Assume that all three events happen 2/3, 1/6, and 1/36 of a year after the beginning of the first year, and recur at their respective rates after that.)

A. 24: 4: 1
B. 1: 4: 24
C. 4 : 15: 90
D. 1: 6: 36
E. 3 : 10: 72

OA B

Source: Veritas Prep

So, the political scandal occurs every 8 months, the environmental crisis every 2 months, and the terrible movie opening every (1/3) a month. We just have to find out the ratio between

$5\cdot \dfrac{12}{8}:5\cdot \dfrac{12}{2}:5\cdot \dfrac{12}{1/3} = \dfrac{1}{8}:\dfrac{1}{2}:3$

On multiplying across by $8$, $1:4:24 \quad\Longrightarrow\quad$B

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8208; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: On planet Simplon, each year has 12 months, each of which consists of exactly 30 days. If Simplon experiences a

by Scott@TargetTestPrep » Sat Mar 20, 2021 1:36 pm

BTGmoderatorDC wrote: ↑
Sun Mar 07, 2021 7:07 pm
On planet Simplon, each year has 12 months, each of which consists of exactly 30 days. If Simplon experiences a political scandal every 2/3 of a year, an environmental crisis every 1/6 of a year, and a terrible movie opening every 1/36 of a year, then what is the ratio of the number of political scandals to the number of environmental crises to the number of terrible movie openings experienced over a five year period on Simplon? (Assume that all three events happen 2/3, 1/6, and 1/36 of a year after the beginning of the first year, and recur at their respective rates after that.)

A. 24 : 4 : 1
B. 1 : 4 : 24
C. 4 : 15 : 90
D. 1 : 6 : 36
E. 3 : 10 : 72

OA B

Solution:

In terms of days, Simplon experiences a political scandal every 2/3 x 12 x 30 = 240 days, an environmental crisis every 1/6 x 12 x 30 = 60 days, and a terrible movie opening every 1/36 x 12 x 30 = 10 days. Therefore, in a 5-year period, or a 5 x 12 x 30 = 1800-day period, there will be 1800/240 = 7.5 political scandals, 1800/60 = 30 environmental crises, and 1800/10 = 180 terrible movie openings. Therefore, the desired ratio is:

7.5 : 30 : 180 = 15 : 60 : 360 = 1 : 4 : 24

Answer: B

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