On planet Simplon, each year has 12 months, each of which : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 20 Jan 2017, 09:45

### 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

# On planet Simplon, each year has 12 months, each of which

Author Message
TAGS:

### Hide Tags

Manager
Joined: 09 Feb 2013
Posts: 120
Followers: 1

Kudos [?]: 849 [3] , given: 17

On planet Simplon, each year has 12 months, each of which [#permalink]

### Show Tags

25 Feb 2013, 01:17
3
KUDOS
5
This post was
BOOKMARKED
00:00

Difficulty:

95% (hard)

Question Stats:

41% (03:17) correct 59% (03:25) wrong based on 188 sessions

### HideShow timer Statistics

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
[Reveal] Spoiler: OA

_________________

Kudos will encourage many others, like me.
Good Questions also deserve few KUDOS.

Last edited by Bunuel on 26 Feb 2013, 01:10, edited 1 time in total.
Edited the question.
Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 630
Followers: 80

Kudos [?]: 1120 [1] , given: 136

Re: On planet Simplon, each year has 12 months, each of which [#permalink]

### Show Tags

25 Feb 2013, 04:30
1
KUDOS
emmak 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.)

24 : 4 : 1

1 : 4 : 24

4 : 15 : 90

1 : 6 : 36

3 : 10 : 72

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
$$5*\frac{12}{8} : 5*\frac{12}{2} : 5*\frac{12}{(1/3)} = \frac{1}{8} : \frac{1}{2} : 3$$

On multiplying across by 8 , 1:4:24

B.
_________________
Current Student
Joined: 24 Nov 2012
Posts: 177
Concentration: Sustainability, Entrepreneurship
GMAT 1: 770 Q50 V44
WE: Business Development (Internet and New Media)
Followers: 42

Kudos [?]: 278 [0], given: 73

Re: On planet Simplon, each year has 12 months, each of which [#permalink]

### Show Tags

18 Apr 2013, 06:49
If a scandal occurs every 8 months over a 5 year period exactly 7 scandals would have occurred. So shouldnt the ratio be

7:30:180?
_________________

You've been walking the ocean's edge, holding up your robes to keep them dry. You must dive naked under, and deeper under, a thousand times deeper! - Rumi

http://www.manhattangmat.com/blog/index.php/author/cbermanmanhattanprep-com/ - This is worth its weight in gold

Economist GMAT Test - 730, Q50, V41 Aug 9th, 2013
Manhattan GMAT Test - 670, Q45, V36 Aug 11th, 2013
Manhattan GMAT Test - 680, Q47, V36 Aug 17th, 2013
GmatPrep CAT 1 - 770, Q50, V44 Aug 24th, 2013
Manhattan GMAT Test - 690, Q45, V39 Aug 30th, 2013
Manhattan GMAT Test - 710, Q48, V39 Sep 13th, 2013
GmatPrep CAT 2 - 740, Q49, V41 Oct 6th, 2013

GMAT - 770, Q50, V44, Oct 7th, 2013
My Debrief - http://gmatclub.com/forum/from-the-ashes-thou-shall-rise-770-q-50-v-44-awa-5-ir-162299.html#p1284542

VP
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1123
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Followers: 181

Kudos [?]: 1965 [0], given: 219

Re: On planet Simplon, each year has 12 months, each of which [#permalink]

### Show Tags

18 Apr 2013, 08:19
Transcendentalist wrote:
If a scandal occurs every 8 months over a 5 year period exactly 7 scandals would have occurred. So shouldnt the ratio be

7:30:180?

Hi Transcendentalist,

you missed something. $$5years*12months= 60 months$$ one scandal every 8 months means $$\frac{60}{8}=7.5$$ scandals
.5 is what makes your option wrong.

This should clarify, let me know
_________________

It is beyond a doubt that all our knowledge that begins with experience.

Kant , Critique of Pure Reason

Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant

Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]

Intern
Joined: 15 Aug 2011
Posts: 20
Location: United States
Concentration: Marketing, Technology
GPA: 3.6
WE: Project Management (Computer Software)
Followers: 0

Kudos [?]: 15 [0], given: 53

Re: On planet Simplon, each year has 12 months, each of which [#permalink]

### Show Tags

18 Apr 2013, 08:25
emmak 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.)

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

Total days per year = 12*30=360
For 5 years = 12*30*5=1800

political scandal happens every 2/3 of a year = 2/3 * 360 = 240days
This implies for every 240 days 1 political scandal occurs.
which means for 5yrs or 1800 days, no.of scandals that happen = 1800/240 = 15/2

smilarly environment damage happens every 1/6 of a year = 1/6 * 360 = 60 days
This implies for every 60 days 1 environmental damage occurs.
For 5yrs or 1800 days, no.of environmental damages that occur = 1800/60 = 30

smilarly a terrible movie opening happens every 1/36 of a year = 1/36 * 360 = 10 days
This implies for every 10 days 1 terrible movie opening happens.
For 5yrs or 1800 days, no.of environmental damages that occur = 1800/10 = 180

Answer==> political scandal for 5yrs : Env damages for 5yrs : Terrible movie opening for 5yrs = 1800/240 : 1800/60 : 1800/10

or 15/2 : 30 : 180 = 15 : 60 :360 = 1 : 4 : 24

B
_________________

"Hit KUDOS if you like my explanation"

Current Student
Joined: 24 Nov 2012
Posts: 177
Concentration: Sustainability, Entrepreneurship
GMAT 1: 770 Q50 V44
WE: Business Development (Internet and New Media)
Followers: 42

Kudos [?]: 278 [0], given: 73

Re: On planet Simplon, each year has 12 months, each of which [#permalink]

### Show Tags

18 Apr 2013, 08:31
Zarrolou wrote:
Transcendentalist wrote:
If a scandal occurs every 8 months over a 5 year period exactly 7 scandals would have occurred. So shouldnt the ratio be

7:30:180?

Hi Transcendentalist,

you missed something. $$5years*12months= 60 months$$ one scandal every 8 months means $$\frac{60}{8}=7.5$$ scandals
.5 is what makes your option wrong.

This should clarify, let me know

How does .5 of a scandal occur?

Lets say there are 1 scandal every 5 months

In one year - 2 scandals will occur
2 years - 4 scandals will occur
3 years - 7 scandals will occur
_________________

You've been walking the ocean's edge, holding up your robes to keep them dry. You must dive naked under, and deeper under, a thousand times deeper! - Rumi

http://www.manhattangmat.com/blog/index.php/author/cbermanmanhattanprep-com/ - This is worth its weight in gold

Economist GMAT Test - 730, Q50, V41 Aug 9th, 2013
Manhattan GMAT Test - 670, Q45, V36 Aug 11th, 2013
Manhattan GMAT Test - 680, Q47, V36 Aug 17th, 2013
GmatPrep CAT 1 - 770, Q50, V44 Aug 24th, 2013
Manhattan GMAT Test - 690, Q45, V39 Aug 30th, 2013
Manhattan GMAT Test - 710, Q48, V39 Sep 13th, 2013
GmatPrep CAT 2 - 740, Q49, V41 Oct 6th, 2013

GMAT - 770, Q50, V44, Oct 7th, 2013
My Debrief - http://gmatclub.com/forum/from-the-ashes-thou-shall-rise-770-q-50-v-44-awa-5-ir-162299.html#p1284542

Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 630
Followers: 80

Kudos [?]: 1120 [0], given: 136

Re: On planet Simplon, each year has 12 months, each of which [#permalink]

### Show Tags

18 Apr 2013, 11:18
Transcendentalist wrote:
If a scandal occurs every 8 months over a 5 year period exactly 7 scandals would have occurred. So shouldn't the ratio be

7:30:180?

Lets assume what you said is correct. The ratio is 7:30:180. So now for every 30 environmental crisis, 7 scandals occur. Thus, for 60 crisis, we should have 14 scandals. But if you go by what is given in the problem, we would have 15 scandals. Any guesses?
_________________
Current Student
Joined: 24 Nov 2012
Posts: 177
Concentration: Sustainability, Entrepreneurship
GMAT 1: 770 Q50 V44
WE: Business Development (Internet and New Media)
Followers: 42

Kudos [?]: 278 [0], given: 73

Re: On planet Simplon, each year has 12 months, each of which [#permalink]

### Show Tags

19 Apr 2013, 07:12
vinaymimani wrote:
Transcendentalist wrote:
If a scandal occurs every 8 months over a 5 year period exactly 7 scandals would have occurred. So shouldn't the ratio be

7:30:180?

Lets assume what you said is correct. The ratio is 7:30:180. So now for every 30 environmental crisis, 7 scandals occur. Thus, for 60 crisis, we should have 14 scandals. But if you go by what is given in the problem, we would have 15 scandals. Any guesses?

Nope the ratio holds true only for 5 years. If the period being considered is 10 years, then the ratio changes. I haven't calculated it out but for every change in no of years the ratio changes accordingly. Makes sense?
_________________

You've been walking the ocean's edge, holding up your robes to keep them dry. You must dive naked under, and deeper under, a thousand times deeper! - Rumi

http://www.manhattangmat.com/blog/index.php/author/cbermanmanhattanprep-com/ - This is worth its weight in gold

Economist GMAT Test - 730, Q50, V41 Aug 9th, 2013
Manhattan GMAT Test - 670, Q45, V36 Aug 11th, 2013
Manhattan GMAT Test - 680, Q47, V36 Aug 17th, 2013
GmatPrep CAT 1 - 770, Q50, V44 Aug 24th, 2013
Manhattan GMAT Test - 690, Q45, V39 Aug 30th, 2013
Manhattan GMAT Test - 710, Q48, V39 Sep 13th, 2013
GmatPrep CAT 2 - 740, Q49, V41 Oct 6th, 2013

GMAT - 770, Q50, V44, Oct 7th, 2013
My Debrief - http://gmatclub.com/forum/from-the-ashes-thou-shall-rise-770-q-50-v-44-awa-5-ir-162299.html#p1284542

Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 630
Followers: 80

Kudos [?]: 1120 [0], given: 136

Re: On planet Simplon, each year has 12 months, each of which [#permalink]

### Show Tags

19 Apr 2013, 07:28
Transcendentalist wrote:
vinaymimani wrote:
Transcendentalist wrote:
If a scandal occurs every 8 months over a 5 year period exactly 7 scandals would have occurred. So shouldn't the ratio be

7:30:180?

Lets assume what you said is correct. The ratio is 7:30:180. So now for every 30 environmental crisis, 7 scandals occur. Thus, for 60 crisis, we should have 14 scandals. But if you go by what is given in the problem, we would have 15 scandals. Any guesses?

Nope the ratio holds true only for 5 years. If the period being considered is 10 years, then the ratio changes. I haven't calculated it out but for every change in no of years the ratio changes accordingly. Makes sense?

I can-not in any way imagine how a given ratio can change depending upon the number of years. Say red:blue balls ratio --> 2:3. So are you telling me that for every 1 red ball the ratio should be 1:1.5(and as per your logic by dropping the 0.5 )-->1:1? So for 1 red ball, the ratio is 1:1, for 2 red balls, the ratio is 2:3 and for 4 red balls, the ratio is again 2:3?

The fact that 1.5 balls can't exist is correct. But the fact that ratio can be presented in myriad ways is also correct. So when I say that the ratio of red:blue balls = 2:3 = 1:1.5 --> it is all correct. It is just that the latter ratio is an intermediate value, something which is mathematically correct yet not feasible,physically. The fact that for 10 years , the value 7.5=15/2 when multiplied by 2 gives an integral value is the reason why we have 15 scandals over 10 years, which is not possible for 5 years as it gives a non-integral value(7.5);which is mathematically correct, yet not feasible in the physical world.
_________________
Current Student
Joined: 24 Nov 2012
Posts: 177
Concentration: Sustainability, Entrepreneurship
GMAT 1: 770 Q50 V44
WE: Business Development (Internet and New Media)
Followers: 42

Kudos [?]: 278 [1] , given: 73

Re: On planet Simplon, each year has 12 months, each of which [#permalink]

### Show Tags

19 Apr 2013, 07:50
1
KUDOS
vinaymimani wrote:
I can-not in any way imagine how a given ratio can change depending upon the number of years. Say red:blue balls ratio --> 2:3. So are you telling me that for every 1 red ball the ratio should be 1:1.5(and as per your logic by dropping the 0.5 )-->1:1? So for 1 red ball, the ratio is 1:1, for 2 red balls, the ratio is 2:3 and for 4 red balls, the ratio is again 2:3?

The fact that 1.5 balls can't exist is correct. But the fact that ratio can be presented in myriad ways is also correct. So when I say that the ratio of red:blue balls = 2:3 = 1:1.5 --> it is all correct. It is just that the latter ratio is an intermediate value, something which is mathematically correct yet not feasible,physically. The fact that for 10 years , the value 7.5=15/2 when multiplied by 2 gives an integral value is the reason why we have 15 scandals over 10 years, which is not possible for 5 years as it gives a non-integral value(7.5);which is mathematically correct, yet not feasible in the physical world.

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 (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.)

Can you please calculate the ratio of the No of following events over a 5 year period to that over a 10 year period?

1, Political Scandal
2, Environmental Crises
3, Terrible
_________________

You've been walking the ocean's edge, holding up your robes to keep them dry. You must dive naked under, and deeper under, a thousand times deeper! - Rumi

http://www.manhattangmat.com/blog/index.php/author/cbermanmanhattanprep-com/ - This is worth its weight in gold

Economist GMAT Test - 730, Q50, V41 Aug 9th, 2013
Manhattan GMAT Test - 670, Q45, V36 Aug 11th, 2013
Manhattan GMAT Test - 680, Q47, V36 Aug 17th, 2013
GmatPrep CAT 1 - 770, Q50, V44 Aug 24th, 2013
Manhattan GMAT Test - 690, Q45, V39 Aug 30th, 2013
Manhattan GMAT Test - 710, Q48, V39 Sep 13th, 2013
GmatPrep CAT 2 - 740, Q49, V41 Oct 6th, 2013

GMAT - 770, Q50, V44, Oct 7th, 2013
My Debrief - http://gmatclub.com/forum/from-the-ashes-thou-shall-rise-770-q-50-v-44-awa-5-ir-162299.html#p1284542

Veritas Prep GMAT Instructor
Joined: 11 Dec 2012
Posts: 313
Followers: 108

Kudos [?]: 270 [2] , given: 66

Re: On planet Simplon, each year has 12 months, each of which [#permalink]

### Show Tags

19 Apr 2013, 08:47
2
KUDOS
Expert's post
1
This post was
BOOKMARKED
emmak 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.)

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

Detouring briefly from the tangent questions, a nice shortcut to solve this original questionquickly is to think of the numbers in months. You then see that political scandals happen every 8 months and environmental crises happen every 2 months, so the ratio must be 1:4 (or a multiple thereof) regardless of the terrible movie openings (Die Hard 5 anyone??). The only answer choice with the 1:4 ratio is B. No need to go any further. On different questions if you can eliminate answer choices based on two of the three entries, then you don't have to try mentally juggling the three.

Hope this helps!
-Ron
_________________
Current Student
Joined: 06 Sep 2013
Posts: 2035
Concentration: Finance
GMAT 1: 770 Q0 V
Followers: 62

Kudos [?]: 594 [0], given: 355

Re: On planet Simplon, each year has 12 months, each of which [#permalink]

### Show Tags

30 May 2014, 08:30
Actually, we only need to take the ratio of 3/2:6:36 which are the denominators and one will get 1:4:24.

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13463
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: On planet Simplon, each year has 12 months, each of which [#permalink]

### Show Tags

22 Aug 2015, 11:32
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Intern
Joined: 10 Oct 2015
Posts: 1
Followers: 0

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

On planet Simplon, each year has 12 months, each of which [#permalink]

### Show Tags

13 Oct 2015, 20:13
I know it's been a while, but I'd like to back up Transcendentalist here. Here's why he's right:

What is the ratio of Mondays to Tuesdays in an 8 day period starting and ending with Monday?
The answer here is not 1:1. Let's look at the sample space:
M T W TH F S S M
We see that 2 Mondays, but only one Tuesday. Therefore the ratio is 2:1.
For 9 days we would see:
M T W TH F S S M T
Making the ratio 1:1 again.

A simple example:
What is the ratio of odds to evens in the range 1-101 inclusive? In 1-100?
I think we can all tell that there are 51 odds and 50 evens in the first part of the question, making the ratio 51:50. In the second part there are 50 of each giving 50:50 or 1:1.

Another analogous problem:
Bob is pushing a boulder up a 100 meter long hill. Every day he pushes it up 20 meters. Then when he rests, it rolls down 11 meters. How many days would it take Bob to push to boulder up to the top of the hill? Answer as an integer, and assume the boulder no longer rolls down once the top of the hill is reached.
Hastily, we would calculate the average rate of 20-11=9 meters per day. 11 x 9 = 99, and that's not quite enough, so the answer must be 12 days (12 x 9 = 108 meters).
Let's go back a step. Before he starts pushing on the beginning of the 10th day, Bob's boulder is at 9 x 9 = 81 meters. Now he pushes the boulder up 20 meters, reaching 101 meters. The answer here is therefore 10 days, not 12.

The point in these three examples is that, depending on the problem, using a constant ratio or rate doesn't work. The ratio changes depending on the period we're looking at.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13463
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: On planet Simplon, each year has 12 months, each of which [#permalink]

### Show Tags

26 Dec 2016, 07:13
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: On planet Simplon, each year has 12 months, each of which   [#permalink] 26 Dec 2016, 07:13
Similar topics Replies Last post
Similar
Topics:
1 For each month of a given year except December 6 12 Mar 2016, 10:26
10 A math teacher has 30 cards, each of which is in the shape 7 24 Jul 2012, 05:01
There are 12 co-workers who work on projects in teams each month. Each 4 16 Dec 2010, 00:40
119 Alice’s take-home pay last year was the same each month, and 28 26 Mar 2010, 16:21
Alice's take home pay last year was the same each month, and 6 10 Oct 2008, 23:22
Display posts from previous: Sort by