Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 26 May 2017, 17:00

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Two countries, Lativia and Manavia, have different business

Author Message
GMAT Instructor
Joined: 04 Jul 2006
Posts: 1263
Followers: 29

Kudos [?]: 307 [0], given: 0

### Show Tags

11 Jul 2006, 03:26
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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?

(A) 2011-2020 (B) 2021-2030 (C) 2031-2040 (D) 2041-2050 (E) 2051-2060

Last edited by kevincan on 12 Jul 2006, 04:53, edited 2 times in total.
GMAT Instructor
Joined: 04 Jul 2006
Posts: 1263
Followers: 29

Kudos [?]: 307 [0], given: 0

### Show Tags

11 Jul 2006, 08:25
Nobody likes countries with strange names?
Director
Joined: 10 Oct 2005
Posts: 718
Followers: 4

Kudos [?]: 25 [0], given: 0

Re: PS: Lativia and Manavia [#permalink]

### Show Tags

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 LataviaÂ´s economy did so one year later. In which decade will the two economies contract in the same year?

(A) 2011-2020 (B) 2021-2030 (C) 2031-2040 (D) 2041-2050 (E) 2051-2060

On the real exam I ll go with C on this question
I struggled about 2 min but has no clue how to solve it))And C is my bet blind shoot answer choice.
_________________

IE IMBA 2010

Manager
Joined: 04 Jul 2006
Posts: 57
Followers: 1

Kudos [?]: 2 [0], given: 0

### Show Tags

11 Jul 2006, 09:34
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).

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.

Last edited by game over on 12 Jul 2006, 16:48, edited 2 times in total.
VP
Joined: 25 Nov 2004
Posts: 1486
Followers: 7

Kudos [?]: 104 [0], given: 0

Re: PS: Lativia and Manavia [#permalink]

### Show Tags

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, Manaviaâ€™s economy contracted, while LataviaÂ´s economy did so one year later. In which decade will the two economies contract in the same year?

(A) 2011-2020 (B) 2021-2030 (C) 2031-2040 (D) 2041-2050 (E) 2051-2060

your question is little unclear. when the lativia's economic downturn ended? in 1904 (begaining or ending) or 1905 or 1906?
GMAT Instructor
Joined: 04 Jul 2006
Posts: 1263
Followers: 29

Kudos [?]: 307 [0], given: 0

### Show Tags

12 Jul 2006, 04:54
I've changed the wording to make it clearer. Thanks for your feedback!
Director
Joined: 06 May 2006
Posts: 791
Followers: 3

Kudos [?]: 34 [0], given: 2

### Show Tags

12 Jul 2006, 16:31
C.

I got the series of downturn years for Lativia and for Manavia, comparing the lists, got 2037 as the common year.

Is there any faster method? This one took a long time...
_________________

Uh uh. I know what you're thinking. "Is the answer A, B, C, D or E?" Well to tell you the truth in all this excitement I kinda lost track myself. But you've gotta ask yourself one question: "Do I feel lucky?" Well, do ya, punk?

GMAT Instructor
Joined: 04 Jul 2006
Posts: 1263
Followers: 29

Kudos [?]: 307 [0], given: 0

### Show Tags

12 Jul 2006, 17:03
I get 2048= 1904+144=104+18*8=1905+143=1905+13*11

Any ideas on how we can get this quickly (less than 2-3 minutes)?

Clue: Forget about the actual years!
SVP
Joined: 30 Mar 2006
Posts: 1730
Followers: 1

Kudos [?]: 82 [0], given: 0

### Show Tags

12 Jul 2006, 23:48
Another way is the LCM of the 10 and 18 that is 60

So only after a gap of 60 years there economies will contract.

Hence only after 2026 will there economies contract. The decade after 2036 is 2031-2040

hence C.

It is a hard question considering that you should not chose 2021-2030.... because the event will only happen after that.
GMAT Instructor
Joined: 04 Jul 2006
Posts: 1263
Followers: 29

Kudos [?]: 307 [0], given: 0

### Show Tags

13 Jul 2006, 00:51
Any ideas on how we can get this quickly (less than 2-3 minutes)?

Clue: Forget about the actual years!
In Lativia, contraction years happen once every 11 years, whereas in Manavia, they occur every 19 years

We have to find positive integers m and n such that

1905+11m=1904+19n
1+11m=19n

i.e. Find smallest positive integer value of n such that 19n divided by 11 yields a remainder of 1.

Look at positive multiples of 19, subtract multiples of 11 to find remainder when divided by 11

n=1......19............... remainder 8
n=2......8+19=27..... remainder 27-22=5
n=3......5+19=24..... remainder 24-22=2
n=4......2+19=21..... remainder 10
n=5......29............... remainder 7
n=6......26............... remainder 4
n=7......23................ remainder 1 19*7=133

So n is 7 and the year in which both economies contract is 1904+133=2037

Check: 1905+11*12=2037
13 Jul 2006, 00:51
Display posts from previous: Sort by