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In 1964, the number of farms in the United States was _______________ the number of acres in the average farm size.

A. about equal to
B. significantly greater than
C. significantly less than

Between 1925 and 2012, the total number of farm acres in the United States ____________.

A. remained about the same
B. increased significantly
C. decreased significantly

In 1974, farmland in the United States occupied ____________.

A. less than 8,000,000 acres
B. between 8,000,000 and 80,000,000 acres - lower limit - 2,000,000 farms/100acres* 400 acres
C. between 80,000,000 and 800,000,000 acres
D. greater than 800,000,000 acres
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Competition mode is off now!

This is a hard question. OA is posted, It is:

B, A, and D

Not surprisingly good job done by zhanbo

Good luck with the upcoming questions.
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zhanbo

Question 2: Between 1925 and 2012, the total number of farm acres in the United States ____________. My answer is (A)

In 1925, the total number of farm acres is approximately 1.7X10^2 * 6.2X10^6 = 10.54*10^8
In 2012, the total number of farm acres is approximately 4.2X10^2 * 2X10^6 = 8.4X10^8
No significant change. Hence (A) remained about the same


Question 2

By the calculation , Between 1925 - 2012 , the total number of farm acres decrease = 2.14 * 10^8 acres How could this be no significant change?
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The size of the farms increased while the number of farms decreased. They correlate inversely during this time period so the total acreage of farm land remains about the same.
boat32674



Question 2

By the calculation , Between 1925 - 2012 , the total number of farm acres decrease = 2.14 * 10^8 acres How could this be no significant change?
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Regarding the question 2 solution, I disagree that 10.54*10^8 is anywhere close to 8.4*10^8.
The change that took place was completely substantial. We are talking about 213,000,000 less farm acres, or in other words -25%.

zhanbo
Question 1: In 1964, the number of farms in the United States was _______________ the number of acres in the average farm size. My answer is (B).

In 1964, the number of farms in the United States was approximately 3.2 million = 3.2 X 10^6
In 1964, the number of acres in the average farm size is approximately 3.5 X 10^2

Question 2: Between 1925 and 2012, the total number of farm acres in the United States ____________. My answer is (A)

In 1925, the total number of farm acres is approximately 1.7X10^2 * 6.2X10^6 = 10.54*10^8
In 2012, the total number of farm acres is approximately 4.2X10^2 * 2X10^6 = 8.4X10^8
No significant change. Hence (A) remained about the same

Question 3: In 1974, farmland in the United States occupied ____________. My answer is (D).

2.5X10^6 * 4.2*10^2 = 10.5X10^8 > 800,000,000, which is 8X10^8
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I calculated it myself and got 1,020,000,000 in 1925 (170*6,000,000) and 1,008,000,000 in 2012 (420*2,400,000) which is a very small change. I do agree though that if it was actually a 20% decrease that would warrant a significant change.
iliagigauri
Regarding the question 2 solution, I disagree that 10.54*10^8 is anywhere close to 8.4*10^8.
The change that took place was completely substantial. We are talking about 213,000,000 less farm acres, or in other words -20.3%.


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It's not 2,400,000 but instead 2,000,000 which changes your calculation drastically.
instead of comparing 1,020,000,000 with 1,008,000,000, you need to compare it with 840,000,000. Now the difference is substantial and easily visible, which warrants a significant change.


cheshire
I calculated it myself and got 1,020,000,000 in 1925 (170*6,000,000) and 1,008,000,000 in 2012 (420*2,400,000) which is a very small change. I do agree though that if it was actually a 20% decrease that would warrant a significant change.

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Now that I look at it again I do agree my numbers aren't accurate, I assumed the graph lines in the background actually matched with the data and weren't just decorative. I made my own reference lines that actually match the data and came up with new numbers: As you mentioned, 2,000,000*420 is about right for 2012 but now my data for 1925 is very clearly off. It looks more like 140*6,200,000 now that I have a better look. 2,000,000*420 is 840,000,000 and 140*6,200,000 is 868,000,000 which is still pretty close. If you find anything wrong please point it out.

I added lines at the half way points on the y axis and lines at the specified x values.
iliagigauri
It's not 2,400,000 but instead 2,000,000 which changes your calculation drastically.
instead of comparing 1,020,000,000 with 1,008,000,000, you need to compare it with 840,000,000. Now the difference is substantial and easily visible, which warrants a significant change.



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You are totally right, I realized that without the lines I was also far off the truth. Thanks for clarifying, the answer finally makes sense!
It would be tricky to create accurate lines and arrive to correct numbers without the tools we've used, but hopefully the exam will have more indicative lines compared to the raw picture in the question.
cheshire
Now that I look at it again I do agree my numbers aren't accurate, I assumed the graph lines in the background actually matched with the data and weren't just decorative. I made my own reference lines that actually match the data and came up with new numbers: As you mentioned, 2,000,000*420 is about right for 2012 but now my data for 1925 is very clearly off. It looks more like 140*6,200,000 now that I have a better look. 2,000,000*420 is 840,000,000 and 140*6,200,000 is 868,000,000 which is still pretty close. If you find anything wrong please point it out.

I added lines at the half way points on the y axis and lines at the specified x values.

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GMAT-Club-Forum-46quxq5o.png
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