VR CR :Ten years ago the number of taxpayers

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NandishSS: Master | Next Rank: 500 Posts; Posts: 366; Joined: Fri Jun 05, 2015 3:35 amFollowed by: 2 members; Thanked: 3 times

by NandishSS » Tue Jan 10, 2017 8:20 pm

Ten years ago the number of taxpayers in Green County was slightly greater than the number of registered voters. The number of taxpayers has doubled over the last ten years, while the number of registered voters has increased, but at a lower rate than has the number of taxpayers.

Which of the following must be true in Greenspace County if the statements above are true?

A) The number of taxpayers is now smaller than the number of registered voters.
B) Everyone who is a registered voter is also a taxpayer.
C) The proportion of registered voters to taxpayers has increased over at the last ten years.
D) The proportion of registered voters to taxpayers has decreased over at the last ten years.
E) The proportion of registered voters to taxpayers has remained unchanged over at the last ten years.

D

Source: Beat The GMAT — Critical Reasoning | Tue Jan 10, 2017 8:20 pm

Sun Light: Senior | Next Rank: 100 Posts; Posts: 51; Joined: Sun Jul 12, 2015 7:53 am; Thanked: 4 times

by Sun Light » Tue Jan 10, 2017 9:40 pm

Slightly greater, doubled, increased at a lower rate...

Some key words that I considered answering the question..

Was shakkyy at select ING C, but C it is..

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Wed Jan 11, 2017 4:02 am

NandishSS wrote:Ten years ago the number of taxpayers in Green County was slightly greater than the number of registered voters. The number of taxpayers has doubled over the last ten years, while the number of registered voters has increased, but at a lower rate than has the number of taxpayers.

Which of the following must be true in Greenspace County if the statements above are true?

A) The number of taxpayers is now smaller than the number of registered voters.
B) Everyone who is a registered voter is also a taxpayer.
C) The proportion of registered voters to taxpayers has increased over the last ten years.
D) The proportion of registered voters to taxpayers has decreased over the last ten years.
E) The proportion of registered voters to taxpayers has remained unchanged over the last ten years.

Test an EASY CASE.
Try to show that four of the five options do NOT have to be true.

Ten years ago the number of taxpayers in Green County was slightly greater than the number of registered voters.
Ten years ago: 100 taxpayers, 95 voters, V/T = 95/100 = 95%.
The number of taxpayers has doubled over the last ten years, while the number of registered voters has increased, but at a lower rate than has the number of taxpayers.
Now: 200 taxpayers, 150 voters, V/T = 150/200 = 75/100 = 75%.

In the case above:
A, C and E are not true.
B does not have to true, since it is possible that none of the voters is also a taxpayer.

The correct answer is D.

D: The proportion of registered voters to taxpayers has decreased over the last ten years
In the case above, V/T decreases from 95% to 75%.

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