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In Patton City, days are categorized as having heavy [#permalink]

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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 191

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

The question is asking for an option that is possible but not necessarily true. Stimulus tells us: HR > 2 MR 1 to 2 LR 0 to 1 No Rain 0

LR Days (1990) < LR Days (1910) MR Days (1990) < MR Days (1910) Yet, Total rainfall 1990 > Total rainfall 1910

A. the number of days with heavy rainfall was lower in 1990 than in 1910 This is possible. Even if HR Days (1990) < HR Days (1910), still 1990 could have had higher total rainfall. Think if in 1990, HR days were fewer, but on each one of those days, it rained 50 inches whereas in 1910, HR Days were more but on each one of those days, it rained only 3 inches, then total rainfall in 1990 could be higher than that of 1910. This is the answer.

B. the number of days with some rainfall, but no more than two inches, was the same in 1990 as in 1910. Not possible because it is given that LR Days (1990) < LR Days (1910) MR Days (1990) < MR Days (1910) So LR Days (1990) + MR Days (1990) < LR Days (1910) + MR Days (1910)

C. the number of days with some rainfall, but no more than two inches, was higher in 1990 than in 1910 Not possible because of the reason given 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 Possible. On a moderate rainfall day, amount of rainfall is more than 1 but less than 2. If number of MR days in 1990 is less than the number of MR days in 1910, no amount of rain can make the total rainfall more than twice.

E. the average amount of rainfall per month was lower in 1990 than in 1910 Not Possible. Total rain (1990) > Total rain (1910) Average rain per month = (Total rain)/12 Total rain (1990)/12 > Total rain (1910)/12
_________________

Re: In Patton City, days are categorized as having heavy [#permalink]

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14 Jun 2008, 23:26

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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

Re: In Patton City, days are categorized as having heavy [#permalink]

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14 Jun 2008, 19:34

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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.

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

I cant seem to understand why the answer is what it is.. i have the reasoning available with me will post this soon..

Coming to choice A, Can the number of days of heavy rainfall be lower in 1990 than in 1910? It is possible because even if the number of days of heavy rainfall was lower, the rainfall could have been lot more heavier on those days making the total rainfall for the year more. Let us keep this choice.

Choice B and C are not possible because they directly contradict the information given that there are fewer number of days of both light and moderate rainfall in 1990 than in 1910.

Choice D contradicts the definition of moderate rainfall as moderate rainfall on any two days by definition has to vary by less than twice.

Choice E is also not possible because if total rainfall for a year was higher than that of another year, then the average rainfall per month for that year also has to be higher than that of the other year.

So Choice A should be the answer.
_________________

B and C are impossible, because we know that in 1910 there were more days with light rainfall than in 1990, and in 1910 there were more days with moderate rainfall than in 1990. So light+moderate in 1910 must be greater than light+moderate in 1990.

For D, suppose we had k days in 1910 with moderate rainfall, and z days in 1990 with moderate rainfall. The question tells us that k > z. The most rainfall you can have per moderate day is 2 inches, so in 1990, the most rainfall you could have in total on moderate days is 2z inches. The least rain you could have on a moderate day is 1 inch, so in 1910, the least total rainfall you could have on all moderate days is k inches.

We've made the moderate rain in 1990 as big as possible, and the moderate rain in 1910 as small as possible, so if it is possible for D to be be true, it will certainly be true in this case. But if it's true that 2z more than twice as big as k, then it would be true that 2z > 2k, or that z > k, and we know that is false. So D is impossible.

For E, if the total annual rainfall in 1910 was T, the question tells us the total was 1.2T (20% greater) in 1990. So the average monthly rainfall in 1910 was T/12, and the average in 1990 was 1.2T/12, which is larger than T/12. So E is impossible.

A, however, can easily be true. I'll ignore the 20% part of the question, because it's not important - the question is whether we could have more rain in 1990 even if there are fewer days with heavy rain, with moderate rain, and with light rain than in 1910. And suppose in 1990 there were 364 days with no rain, 0 days with light rain, 0 days with moderate rain, and just 1 day with heavy rain, but on that 1 day there was 500,000,000,000 inches of rain. And suppose in 1910 you had 65 days with no rain, 100 days with 0.5 inches, 100 days with 1.5 inches, and 100 days with 2.5 inches. Then we have far more rain overall in 1990, even though we have fewer days with heavy, moderate and light rainfall - fewer days in every category. Answer A can still be true as long as the heavy rainfall days in 1990 were much heavier than in 1910 (there are other ways it can be true, but this is probably the easiest one to see).
_________________

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Re: In Patton City, days are categorized as having heavy [#permalink]

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23 Jun 2010, 07:45

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First I chose D, then after reviewing I see how A is the correct answer.

From the first statement we know

1990 has fewer light rainfall days fewer moderate rainfall days 20% more total rainfall

I think the question's design is for you to search for an explanation for the difference. We all know the questions:

"Which one of the following would best explain the seeming contradiction" or some wording similar......So this is the way we approach this question, that leads us to find D as a possible explanation.

But they questions is which could possibly be true.

You could read choice A as follows:

It is possible that in Patton City the number of days with heavy rainfall was lower in 1990 than in 1910.

Yes it is possible, why not. For example....

In 1990 we could have 10 days with heavy rainfall, and in 1910 we could have 11 days with heavy rainfall.

This example reminds us that when we see which could be true.....we should keep a very open mind.

I tried out some sample data for D. 1910 --> 100 moderate days x 1.0000000000000000000000000000000001 inches each day = c. 100 inches on moderate days 1990 --> 99 moderate days x 2 inches each day = 198 inches

Re: In Patton City, days are categorized as having heavy [#permalink]

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23 Jun 2010, 05:48

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I will go with A.

(A) the number of days with heavy rainfall was lower in 1990 than in 1910 >>>> The author says lower light and moderate rainfall, YET only 20% more rainfall in 1990. This means there was some other factor that led to lower total rainfall. Above argument solves this !

(B) the number of days with some rainfall, but no more than two inches, was the same in 1990 as in 1910 >>> There is no such rainfall listed in the question. So rejected.

(C) the number of days with some rainfall, but no more than two inches, was higher in 1990 than in 1910 >>> There is no such rainfall listed.

(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 >>> If 1910 received 1.5inch of rainfall, then 1990 would have received 3inch rainfall. But 2+ inch means heavy rainfall. So this is incorrect too.

(E) the average amount of rainfall per month was lower in 1990 than in 1910 >> This will mean that 1990 had less rainfall than 1910.

Here is why (A) the number of days with heavy rainfall was lower in 1990 than in 1910 is the answer:

On first glance this answer seems the opposite of what we are going for. Surely, Patton City had more days with heavy rain in 1990 than in 1910, otherwise how could one possibly account for the 20% increase in rain from 1910 to 1990. But here is the thing: even if Patton City had fewer days with 2+ inches of rain in 1990 than in 1910, if those days were marked by heavily deluges, then 1990 would have more inches of rain than 1910. Let me illustrate: Let's say that in 1990 Patton City had five days with 2+ inches of rain (Day 1: 4 inches, Day 2: 5 inches, Day 3: 6 inches, Day 4: 5 inches, Day 5: 3 inches). In 1910 Patton City had six rainy days with 2+ inches or rain (Day 1 : 2.5 inches, Day 2: 2.3 inches, Day 3, 2.4 inches...etc.). You can see that, despite fewer 2+ inches days, 1990 has far more inches of rainfall from 2+ inches days than 1910 does.
_________________

Re: In Patton City, days are categorized as having heavy [#permalink]

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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

I cant seem to understand why the answer is what it is.. i have the reasoning available with me will post this soon..

Re: In Patton City, days are categorized as having heavy [#permalink]

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23 Jun 2010, 05:54

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buffdaddy wrote:

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 [color=#8000FF]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[/color]

Nowhere in the question it is mentioned that no of moderate days were the same.??? Please correct me if I am wrong 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

Re: In Patton City, days are categorized as having heavy [#permalink]

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23 Jun 2010, 21:18

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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.

Re: In Patton City, days are categorized as having heavy [#permalink]

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souvik101990 wrote:

New Project - Reviving the hardest questions on GMAT Club. Kudos for every reply with an explanation in the first 24 hours!

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

I chose [A] the number of days with heavy rainfall was lower in 1990 than in 1910

Explanation and elimination of other choices:

We are only given ranges for rainfall on a described day. Therefore a single day of heavy rain in 1990 (characterized as H > 2 inches) could have more total inches that a larger number of heavy rainfall days in 1910. If, for example, 1910 had 10 days of 2.1 inches per day then it could be possible for 1990 to have 1 day of 30 inches. This could satisfy the evidence provided. Therefore I could not eliminate A.

B. "Some rainfall" but no more than 2 inches would mean that "light" and "moderate days" fit into this definition. We are given that the number of days of moderate rainfall and light rainfall in 1990 are lower than in 1910, so this seems to contractdict the evidence provided. If both ranges were less than 1910 then how could it be possible that the totals are the same? Eliminated.

C. Same logic applied to B but now we are told that 1990 could be greater than 1910. Again, I elimiated as this doesn't fit with the evidence provided.

D. Total number of inches that fell on moderate days in 1990 was more than twice what it had been in 1910. We are given that there were fewere days with moderate rainfall in 1990 than 1910. So, the only way that twice the number of inches to fall on those fewer days would be if the allowable range (to be considered a moderate rainfall day) was higher than the range we were given. We were given that a moderate day was "more than one inch, but no more than 2", which I believe is repsented by Moderate is greater than one but less than or equal to two. That range is less than one inch by definition. Therefore, it wouldn't it be impossible to have fewer days of rain but twice the number of inches if, to be considered a "moderate" day it MUST fall with that range? This didn't seem right so I eliminated this as well.

Example: If there were 5 days of moderate rain in 1910 and 4 days of moderate rain in 1990 (satisfying the evidence given), and if each day in 1910 only rained just over 1 inche per day (lower part of range), or a little more than 5 inches,...then even if it rained exactly 2 inches per day during the 4 moderate days in 1990 we would still only have 8 inches. You cannot satisfy this choice with the evidence given.

E. Average amount of rainfall per month was lower in 1990 than in 1910. I assume that average monthly rainfall could be simply calculated as Total Rainfall/12 months. We are given that the 1990 total rainfall was 20% higher in 1990 than 1910, and since both have the same denominator (12 months), wouldn't it be impossible to have a higher total but lower average amount of rainfall per month? I eliminated this also.

Final answer: A

Not sure if my logic is correct. Took me 4 minutes to solve.

Re: In Patton City, days are categorized as having heavy [#permalink]

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14 Jun 2008, 13:18

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C by POE

A. the number of days with heavy rainfall was lower in 1990 than in 1910 -> cannot say..

B. the number of days with some rainfall, but no more than two inches, was the same in 1990 as in 1910 -> cannot say...

C. the number of days with some rainfall, but no more than two inches, was higher in 1990 than in 1910 -> sounds good

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 -> may or may not be

E. the average amount of rainfall per month was lower in 1990 than in 1910 -> cannot be
_________________

Re: In Patton City, days are categorized as having heavy [#permalink]

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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

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

The question is asking for an option that is possible but not necessarily true. Stimulus tells us: HR > 2 MR 1 to 2 LR 0 to 1 No Rain 0

LR Days (1990) < LR Days (1910) MR Days (1990) < MR Days (1910) Yet, Total rainfall 1990 > Total rainfall 1910

A. the number of days with heavy rainfall was lower in 1990 than in 1910 This is possible. Even if HR Days (1990) < HR Days (1910), still 1990 could have had higher total rainfall. Think if in 1990, HR days were fewer, but on each one of those days, it rained 50 inches whereas in 1910, HR Days were more but on each one of those days, it rained only 3 inches, then total rainfall in 1990 could be higher than that of 1910. This is the answer.

B. the number of days with some rainfall, but no more than two inches, was the same in 1990 as in 1910. Not possible because it is given that LR Days (1990) < LR Days (1910) MR Days (1990) < MR Days (1910) So LR Days (1990) + MR Days (1990) < LR Days (1910) + MR Days (1910)

C. the number of days with some rainfall, but no more than two inches, was higher in 1990 than in 1910 Not possible because of the reason given 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 Possible. On a moderate rainfall day, amount of rainfall is more than 1 but less than 2. If number of MR days in 1990 is less than the number of MR days in 1910, no amount of rain can make the total rainfall more than twice.

E. the average amount of rainfall per month was lower in 1990 than in 1910 Not Possible. Total rain (1990) > Total rain (1910) Average rain per month = (Total rain)/12 Total rain (1990)/12 > Total rain (1910)/12

Hi Karishma

Regarding Option D, Is it not possible that for the number of days in 1910, it rains 1.001 inches and in 1990 it rains 2 inches for lesser number of days than in 1910, then may be total inches is more in 1910 ?

More than twice means that for every 1.001 inch of rainfall in 1910, there must be more than 2.002 inches of rainfall in 1990. But moderate rainfall days cannot have more than 2 inches of rainfall so this is not possible.
_________________

Re: In Patton City, days are categorized as having heavy [#permalink]

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D for me.

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. doesn't help B. the number of days with some rainfall, but no more than two inches, was the same in 1990 as in 1910 Argument only mentions 4 categories of rainfall;some rainfall is not defined. some rainfall can be no rainfall too. C. the number of days with some rainfall, but no more than two inches, was higher in 1990 than in 1910 Argument only mentions 4 categories of rainfall;some rainfall is not defined. some rainfall can be no rainfall too. 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 This says inches of rainfall was higher; helps E. the average amount of rainfall per month was lower in 1990 than in 1910 doesn't help

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