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

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16 Oct 2006, 21:40

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A

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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

The only one that fits the bill is (A).
(B)----no. of days was fewer
(C)---same as (B)
(D)--- can never be true
(E)---But the total is higher in 1990.
_________________

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When the number of days in 1990 with light rain fall is small, moderate rain fall is small, and heavy rain fall is small... going by probability there will be less rain in 1990 than in 1910. But the total rainfall is higher in 1990 according to argument. A can be true if we assume that rain per day on rainy day in 1990 was high. But that way even D can be right.
_________________

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the way is difficult, but perfect trust makes it easy.

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

Tricky . . .

Answer has to be A

Here is the possible scenario

1910 # of days
light 2 (total rainfall .2")
moderate 2 (total rainfall 3")
heavy 2 (total rainfall 6")
9.2"

1990 # of days
light 1(total rainfall .1")
moderate 1(total rainfall 1.5")
heavy 1(total rainfall 9.44" inches)
11.04"

Thanks Kidderek - that makes perfect sense. How could I miss that

More days of heavy rainfall does not equate to overall inches being increased. You can have a 3 dyas of heavy rainfall in 1910 (5 inches a piece) and then one day of massive rainfall (say 50+inches) in 1990.
_________________

"Never let the fear of striking out get in your wayâ€

A. the number of days with heavy rainfall was lower in 1990 than in 1910
- if true, then there could not have been higher total rainfall in 1990.

B. the number of days with some rainfall, but no more than two inches, was the same in 1990 as in 1910
- clearly says fewer days with light and/or moderate rainfall in 1990

C. the number of days with some rainfall, but no more than two inches, was higher in 1990 than in 1910
-same argument as for 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
- let's say moderate rainfall occurred on 361 days in 1910 (1.1 inches/day) and 360 days in 1990 (1.9 inches/day), then D is possible. It may seem absurd that it would rain an inch almost every day, but theoretically, D is the only possible option.
E. the average amount of rainfall per month was lower in 1990 than in 1910
-since total rainfall was higher in 1990, average rainfall per month should also be higher.

D 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 - let's say moderate rainfall occurred on 361 days in 1910 (1.1 inches/day) and 360 days in 1990 (1.9 inches/day), then D is possible. It may seem absurd that it would rain an inch almost every day, but theoretically, D is the only possible option.

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

Tricky . . .

Answer has to be A

Here is the possible scenario

1910 # of days light 2 (total rainfall .2") moderate 2 (total rainfall 3") heavy 2 (total rainfall 6") 9.2"

1990 # of days light 1(total rainfall .1") moderate 1(total rainfall 1.5") heavy 1(total rainfall 9.44" inches) 11.04"

Your possibility can be wrong - In 1910:- Heavy 2 (total rainfal can be 6 or 12 or what ever number)

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