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.)
24 : 4 : 1
1 : 4 : 24
4 : 15 : 90
1 : 6 : 36
3 : 10 : 72
any short cut
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On planet Simplon, each year has 12 months, each of which
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Anju@Gurome
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"‹varun289 wrote: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.)
The ratio of such events in any period of time will remain the same.
Hence, the ratio of the number of events in 5 year period or 5 motnhs period will be the same as the ratio of the number of events in 1 year period.
A political scandal happens every 2/3 of a year ---> every 2*12/3 = 8 months
A environmental crisis happens every 1/6 of a year ---> every 12/6 = 2 months
So in a 8 months period, there are 1 political scandal and 4 environmental crises.
Hence, in any period of time, there will be 4 environmental crises for 1 political scandal.
So, the ratios of number of political scandals and number of environmental crises muct be 1:4
Only option B works.
The correct answer is B.
Anju Agarwal
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Quant Expert, Gurome
Backup Methods : General guide on plugging, estimation etc.
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burningman
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but will simplon not see 7 political scandal @ every 240 days, given that a scandal hits every 2/3 of a year ?
if the next year starts immediately after a political scandal ( recurrence at their respective rates ) the intervals would be 240, 480, 720, 960, 1200, 1440 and 1680.
if the next year starts immediately after a political scandal ( recurrence at their respective rates ) the intervals would be 240, 480, 720, 960, 1200, 1440 and 1680.
