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Two countries, Lativia and Manavia, have different business
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Updated on: 12 Jul 2006, 04:53
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Two countries, Lativia and Manavia, have different business cycles: in Lativia, two downturn years are always separated by exactly 10 expansion years, while in Manavia, two downturn years are always separated by 18 expansion years. In each country, any calendar year is either a downturn year or an expansion year. 1904 was a downturn year for Manavia and 1905 was a downturn year for Latavia. In which decade will the two countries' economies contract in the same year?
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Originally posted by kevincan on 11 Jul 2006, 03:26.
Last edited by kevincan on 12 Jul 2006, 04:53, edited 2 times in total.
Re: Two countries, Lativia and Manavia, have different business
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11 Jul 2006, 09:02
kevincan wrote:
Two countries, Lativia and Manavia, have different business cycles: in Lativia, two years of economic downturn are always separated by exactly 10 years of expansion, while in Manavia, two downturn years are separated by 18 years of expansion. In 1904, Manavia?s economy contracted, while Latavia´s economy did so one year later. In which decade will the two economies contract in the same year?
Re: Two countries, Lativia and Manavia, have different business
[#permalink]
Updated on: 12 Jul 2006, 16:48
This question is very tricky (or I am stupid ...)
First, observe that he text doesn't state wheter Manavia's economy contracts in 1903 or in 1905.
Manavia's business cycle is either 03-04, 05-22, 23-24, 25-42 ... (2003-2004, 2005-2022) or 04-05, 06-23, 24-25 ...( 2004-2005, 2006-2023).
Lativia's business cycle is 05-06, 7-16, 17-18 ....
It is easier to write this as follows: 6, 16, 18, 28, 30, 40, 42, 52, 54, 64, 66, 76, 78, 88, 90, 100, 102, 112, 114, 124, 126, 136, 138, 148, 150, 160 ...
(the number shows us, when the expansion or contraction phase ends).
Now: Compare both business cycles.
You can see that both economies contracts in 2025 for the first time.
Hence, B is the correct answer (I think).
(Note: If Manavia's economy contracts in 1903 and 1904 there is no date between 2010 and 2060 where both economies contract)
Aah ... ok.
Paddy is right. 2037
Originally posted by game over on 11 Jul 2006, 09:34.
Last edited by game over on 12 Jul 2006, 16:48, edited 2 times in total.
Re: Two countries, Lativia and Manavia, have different business
[#permalink]
11 Jul 2006, 09:54
kevincan wrote:
Two countries, Lativia and Manavia, have different business cycles: in Lativia, two years of economic downturn are always separated by exactly 10 years of expansion, while in Manavia, two downturn years are separated by 18 years of expansion. In 1904, Manavia’s economy contracted, while Latavia´s economy did so one year later. In which decade will the two economies contract in the same year?
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
gmatclubot
Re: Two countries, Lativia and Manavia, have different business [#permalink]