confusing one

[vgmat_24]

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 (atleast 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

please explain thy answers

[finesa17]

IMO A

[nverma]

IMO D

[romrubiens]

indeed D

[Drizzling Beauty]

D again...

[finesa17]

There were fewer days with moderate rain in 1990 than in 1910.
Day with moderate rain comprises interval (1,2) inches

Let us look the most extreme case:

Number of days with moderate rain in 1990: 9
Number of days with moderate rain in 1910: 10

Number of inches per day with moderate rain for 1990: 2
Number of inches per day with moderate rain for 1910: 1

Total number of inches of moderate rain is than:

For 1990: 2*9 = 18
For 1910: 1*10 = 10

18 < 2*10

From this it follows that the total number of inches of rain that fell on days with moderate rainfall in 1990 cannot be more than twice what it had been in 1910.

D is wrong

[achar_varun]

i wonder if one requires to do such maths even on critical reasoning questions. Anyway, answer is C.

[shovitv]

IMO A..finesa17 is abs correct !! ..as such one doesnt need to do math for critical reasoning but if answer choices say twice more , or any mathematical term ,etc and if the answer choice figures out in final shortlisted possible answers , then to accept or reject that particular answer choice , you may prove the validity of answer choice by doing small math .

[sonikamadala]

IMO it is C

[finesa17]

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

No rainfall: 0 inch
Light rainfall: <0,1> inch
Moderate rainfall: <1,2> inch
High rainfall: > 2 inch


Some rainfall but no more than 2 inches: <0,2>
Meaning that our scope are number of days with light and moderate rainfall!


No. of days with light rainfall in 1990 < No. of days with light rainfall in 1910
No. of days with moderate rainfall in1990 < No. of days with moderate rainfall in 1910

From this it follows that number of days with some rainfall, but no more than 2 inches in 1990 CAN NOT be bigger than the number of days with some rainfall, but no more than 2 inches in 1910

C is wrong