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In Patton City, days are categorized as having heavy [#permalink]
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05 Nov 2010, 00:03
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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
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Re: In Patton City [#permalink]
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05 Nov 2010, 04:54
Is there any error with answer A? According to my logic, it should be "The number of days with heavy rainfall was lower in 1910 than in 1900



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Re: In Patton City [#permalink]
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It is A. The only one which restates the last statement of the QS.



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Re: In Patton City [#permalink]
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03 Dec 2010, 08:13
A seems just about right to me.
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Re: In Patton City [#permalink]
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raghavs 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 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
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Re: In Patton City [#permalink]
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Is this CR question or a PS question?



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Re: In Patton City [#permalink]
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03 Dec 2010, 12:43
This a great question, but very confusing. Karishma thanks for the explanation on why A is correct. I would have wanted the statement to read: The number of days of heavy rainfall was higher in 1990 than in 1910 to confirm 1990 had greater total rainfall than 1910. Your point that even if there were more heavy rainfall days in 1910 but all of them equaling to 3 inches versus a few heavy days in 1990 which can have 50 inches is valid. Thank you.
Would this question really be 600 to 700? I'd imagine this to be 700+. What is the source?



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Re: In Patton City [#permalink]
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03 Dec 2010, 12:57
Sarang wrote: Is this CR question or a PS question? Once people realize that CR is as logical as PS/DS, it becomes very easy. and I would say the question is right there, at 700.
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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 1910
I cant seem to understand why the answer is what it is.. i have the reasoning available with me will post this soon..



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Re: Flaw question  very confusing! [#permalink]
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arjun206 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 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.
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Re: In Patton City, days are categorized as having heavy [#permalink]
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Re: In Patton City, days are categorized as having [#permalink]
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15 May 2015, 03:37
Why not option D?? It says that the no of inches of rainfall was twice of the number of inches in 1991, this also might be a reason as to why the rainfall in 1990 was 20% more as compared to the rain in 1991.



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



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Re: In Patton City, days are categorized as having heavy [#permalink]
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Radhika11 wrote: VeritasPrepKarishma wrote: raghavs 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 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.
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Re: In Patton City, days are categorized as having heavy [#permalink]
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08 Nov 2015, 07:09
VeritasPrepKarishma: I can perfectly understand the logic you gave for option B. But I don't understand how C is incorrect.!! If rainfall was 20% higher in 1990 and given that LR+MR (1990)<LR+MR(1910) then I am left with only one assumption that HR has to be higher in 1990.!! I do understand your explanation for option A. But I need more clarity.



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Re: In Patton City, days are categorized as having heavy [#permalink]
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narendran1990 wrote: VeritasPrepKarishma: I can perfectly understand the logic you gave for option B. But I don't understand how C is incorrect.!! If rainfall was 20% higher in 1990 and given that LR+MR (1990)<LR+MR(1910) then I am left with only one assumption that HR has to be higher in 1990.!! I do understand your explanation for option A. But I need more clarity. C. the number of days with some rainfall, but no more than two inches, was higher in 1990 than in 1910 The days with some rainfall, but no more than two inches are LR days and MR days. So (C) says LR Days + MR Days (1990) > LR Days + MR Days (1910) But from our analysis of the argument, we already know that LR Days + MR Days (1990) < LR Days + MR Days (1910) Hence (C) is not possible. As for (A), it is based on the logic that more days of rainfall does not mean more rainfall (inches). The intensity of rainfall can be higher over fewer days and hence fewer days could result in more rainfall.
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Re: In Patton City, days are categorized as having heavy [#permalink]
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10 Nov 2015, 04:53
This really is a great question. The moment I decided for D I realised my mistake and then confirmed it with the help of Karishma's explanation. Will evaluate questions that include some numbers more carefully in the future. I was too stuck with the idea from Prethinking that Patton City must have compensated the loss in rainfall somehow, most probably with greater number of heavy rainfall days. Then as soon as I read A I was like "nope, exactly the opposite of what I am looking for."
Great lesson.



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