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Kaplan Premier, CR, Q42 on page 66

Critical Reasoning, Reading Comprehension
Expert replies
by dumpli » Wed Dec 29, 2010 7:55 am
I would really appreciate help on the below question. I know it is a CR question but my problem is understanding how the thought process works.

Q 42: In the state of Michigan, from 1980 to 1989, total spending on books purchased from all sources increased by 34 percent. But during the same period, spending on fiction books, most of which were purchased from bookstores selling only new books, grew just 16 percent.

Which of the following statements about the period from 1980 to 1989 is best supported by the statements above?

Answer: Spending on nonfiction books increased by more than 34 percent.

How do you know it is definitely more than 34 percent? I know this is a CR question but I'm having trouble understanding the math part of it. I don't understand how the increase can be more than 34 percent or how it was worked out. Please help and thank so much in advance.
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Source: — Verbal Reasoning |

by KapTeacherEli » Wed Dec 29, 2010 8:55 am
Hi dumpli,

Although picking numbers is usually a strategy reserved for the Quantitative section, it can also be useful on number-centric CR Inference questions.

Imagine that 200 books were sold in Michigan in 1980 (way to low to be realistic, but who cares!). That would then require 268 books to be sold in 1989.

Now, imagine half of those books are fiction books. We started with 100, and only had a 16 percent increase, for a total of 116 fiction books sold in 1989.

We also started with 100 nonfiction books in 1980. In 1989, since ALL books are either fiction or nonfiction, and 116 out of 268 were fiction, the remaining 152 were nonfiction--and increase of 52%!

Once we've picked these numbers, the reason why it must always be this way becomes clear. In order to average 34% change overall, the two groups must balance out. If one group is below 34% increase, then the rest of the overall change has to come from somewhere! Thus, we can predict and select the correct answer.

Hope this helps!
Eli Meyer
Kaplan GMAT Teacher
Cambridge, MA
www.kaptest.com/gmat

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