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In Patton City, days are categorized as having heavy

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Re: CR Rainfall [#permalink] New post 23 Jun 2010, 09:17
Thanks KevinMMcAleer and TallJTinChina for the explanation.
Really a tough one.
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Re: CR Rainfall [#permalink] New post 23 Jun 2010, 20:18
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Thats how I figured out A -

Firstly, why it can not be C,D

C - the number of days with some rainfall, but no more than two inches, was higher in 1990 than in 1910. This contradicts with the stem that in 1990 we have had fewer days of moderate and light rainfall. So ruled out..

D- the total number of inches of rain that fell on days with moderate rainfall in 1990 was more than twice what it had been in 1910. Lets assume in 1910 we have had three days of moderate rainfall and in 1990 the best scenario we could have two. Assume, worst case scenario we received 1 Unit of rainfall in all days in 1900 thus total 3 units and in 1990 we received 2 units (the max we could recieve for moderate) each day. Thus, it comes to total of 4 Units. But , 4<3*2. This contradicts the statement and this is the most favourable case that we could assume for 1990.

Why its A:
A) the number of days with heavy rainfall was lower in 1990 than in 1910
The number can be lower (assume just a difference of one day) , but the intensityof rainfall received 1990 could be substantially greater than in 1990 to offset this difference.

Hope it helps..


Thanks,
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Re: CR Rainfall [#permalink] New post 28 Jun 2010, 12:20
good explanation by heyitsaakash. i now see how A is correct.
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Re: CR Rainfall [#permalink] New post 14 Jul 2010, 21:40
Well A is right - and unless by some divine intervention - because picking A is anything but intuitive - one were to just "get" it somehow - eliminating the other choices is a royal pain
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Re: CR Rainfall [#permalink] New post 27 Jun 2011, 06:11
A&D are tricky
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Re: CR Rainfall [#permalink] New post 27 Jun 2011, 06:58
Yeah, I am not convinced with OA either. I like D better.
If in 1910, moderate rainfall is somewhere .1 to .9 then in 1990, the city can have more than double of that amount and D still would be valid!!
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Re: CR Rainfall [#permalink] New post 27 Jun 2011, 08:27
It took me a lot of time to figure this one out..but got it..
A.

Awesome question!
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Re: CR Rainfall [#permalink] New post 27 Jun 2011, 10:08
i too not convince with A, there is no reference of 'heavy' category any where. D looks perfect.
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Re: CR Rainfall [#permalink] New post 27 Jun 2011, 10:18
Ug this question scrambled my brain. I guess I picked A but it certainly didn't seem correct!
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Re: CR Rainfall [#permalink] New post 27 Jun 2011, 20:58
really tough one..still i am not convinced with A....can any shed some light on this
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Re: CR Rainfall [#permalink] New post 28 Jun 2011, 02:28
Is this from OG?

Posted from my mobile device Image
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Re: CR Rainfall [#permalink] New post 28 Jun 2011, 12:37
At first I choose D but later after some calculation Option D can never be true based on the condition provided. Hence option A is true.

Thank you all for explanations :)
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Re: CR Rainfall [#permalink] New post 28 Jun 2011, 12:59
IMO A. This truly is a tricky one...Good one...:) Thanks to the original poster who posted this one. And thanks to all the people who engaged in the discussion...
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Re: CR Rainfall [#permalink] New post 28 Jun 2011, 14:51
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Re: CR Rainfall [#permalink] New post 28 Jun 2011, 15:34
Source please?
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Re: CR Rainfall [#permalink] New post 29 Jun 2011, 04:36
A is the only possible option. Other options cannot be true.
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Re: CR Rainfall [#permalink] New post 08 Sep 2011, 14:05
Quote:
In Patton City, days are categorized as having heavy rainfall (more than two inches), moderate rainfall (more than one inch, but no more than two inches), light rainfall (at least a trace, but no more than one inch), or no rainfall. In 1990, there were fewer days with light rainfall than in 1910 and fewer with moderate rainfall, yet total rainfall for the year was 20 percent higher in 1990 than in 1910.

If the statements above are true, then it is also possible that in Patton City

(A) the number of days with heavy rainfall was lower in 1990 than in 1910
(B) the number of days with some rainfall, but no more than two inches, was the same in 1990 as in 1910
(C) the number of days with some rainfall, but no more than two inches, was higher in 1990 than in 1910
(D) the total number of inches of rain that fell on days with moderate rainfall in 1990 was more than twice what it had been in 1910
(E) the average amount of rainfall per month was lower in 1990 than in 1910


we want the statement that agrees with question.

Initially went with D but thought the following explanations made a lot of sense!

Quote:

grepro wrote:

I think A is a possible answer as it says:

"the number of days with heavy rainfall was lower in 1990 than in 1910" however the amount of rain in 1990 can be more on these days than in 1910. Since heavy rainfall is defined as anything greater than 2 inches.



Quote:

quantum wrote:


In Patton City, days are categorized as having heavy rainfall (more than two inches), moderate rainfall (more than one inch, but no more than two inches), light rainfall (at least a trace, but no more than one inch), or no rainfall. In 1990, there were fewer days with light rainfall than in 1910 and fewer with moderate rainfall, yet total rainfall for the
year was 20 percent higher in 1990 than in 1910.

If the statements above are true, then it is also possible that in Patton City

A. the number of days with heavy rainfall was lower in 1990 than in 1910
definitely possible. Consider in 1990 one day about 1000000000 inches fell. (just kidding, but u get the point)

B. the number of days with some rainfall, but no more than two inches, was the same
in 1990 as in 1910 can't be true because we know moderate and light says were fewer in 1990 than in 1910

C. the number of days with some rainfall, but no more than two inches, was higher in 1990 than in 1910 same problem as in B

D. the total number of inches of rain that fell on days with moderate rainfall in 1990
was more than twice what it had been in 1910 not mathematically possible. We can only get twice the amount of rainfall if the number of moderate days were the same and all the moderate days in 1990 have 2 inches of rain and all the moderate rain days have 1 inch of rain in 1910

E. the average amount of rainfall per month was lower in 1990 than in 1910
not possible (unless there were more months in 1990 :) )since we are told total in 1990 was hight
really tuff one :-D


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Re: CR Rainfall [#permalink] New post 09 Sep 2011, 12:44
It doesn't say has to be true, it asks for a possibility explaining the 20% difference.

so let's take 1910 :10cm
and 1990: 12 cm

1910 can have 3 days of light/moderate and 3 days of heavy(3*2.+) =3ish +6ish = 10

as for 1990, it can be

2 days of light moderate = 2+ and 1 or 2 days of heavy rain; as long as the total =12

The #'s can be tweaked and please let me know what you think of my analysis.
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Re: CR Rainfall [#permalink] New post 10 Sep 2011, 01:15
My undertanding here is that if total rainfall in 1910 was x then in 1990 it was 1.2x with fewer days of moderate & light rainfall as compared to that in 1910. (howver total rainfall would utilmately depend upon the total inches of rainfall rather than days)

so this is possible only if
a) the total haeavy rainfall in inches in 1990 was more than 1910

b) total moderate or light rf in inches in 1990 was more than 1910

now the Q asks
If the statements above are true, then it is also possible that in Patton City

so D is the choice which logically supports the arguement, as it says that total amt of moderate rainfall was more in 1990 than 1910 which may account for the 20% inc
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Re: CR Rainfall [#permalink] New post 10 Sep 2011, 12:38
i see a lot of people chose D, but D can never be true.

1 < rain in moderate day < 2

even if the number of days with moderate rainfall were the same, something not true btw, the total rainfall can still not be more than twice. it is mathematically not possible i.e. 1.000001 vs. 1.9999999 [it's just not twice].

A is possible because the number of days with no rainfall could be substantially high in 1910. therefore, there is a possibility that days with heavy rainfall were lower in 1990. all other choices are not possible at all.
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Re: CR Rainfall   [#permalink] 10 Sep 2011, 12:38
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