souvik101990 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 argument:

HR > 2

1 < MR < 2

0 < LR < 1

NR

# days LR of 1990 < # days LR of 1910

#days MR of 1990 < # days MR of 1910

Total # R of 1990 (#LR + #MR + #HR) > Total #R of 1910 (#LR + #MR + #HR)

(A) possible. suppose in 1990 there were only 5 days with heavy rainfall but rain was 100 inches a day and in 1910 there were 6 days but rain was only 3 inches a day. Thus total in 1990 can be greater than total in 1910

(B) impossible

(C) impossible

(D) (X) days of MR in 1990 < (Y) those in 1910

=> (X) x from 1 to 2 cannot double (Y) x (from 1 to 2)

(E) impossible because total rainfall in 1990 = 120% total in 1910

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