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# Ten years ago the number of taxpayers in Green County was slightly

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Ten years ago the number of taxpayers in Green County was slightly [#permalink]

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31 May 2016, 13:33
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Official Guide for GMAT Verbal Review 2016
Practice Question
Question No.:16
Page: 125
Difficulty:

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.
[Reveal] Spoiler: OA

Last edited by nycgirl212 on 04 Jun 2016, 22:46, edited 1 time in total.
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Ten years ago the number of taxpayers in Green County was slightly [#permalink]

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31 May 2016, 18:37
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nycgirl212 wrote:
Official Guide for GMAT Verbal Review 2016
Practice Question
Question No.:16
Page: 125
Difficulty:

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.

The Q is dealing with numbers and proportion..
# of taxpayers were T, slightly more than # of registered voters V. In last 10 years T has become 2T and V has also become xV where x <2.

lets see the statements-
A) The number of taxpayers is now smaller than the number of registered voters.
Noway, It will be Opposite

B) Everyone who is a registered voter is also a taxpayer.
Not necessary

C) The proportion of registered voters to taxpayers has increased over at the last ten years.
Proportion earlier was $$\frac{T}{V}.$$.. and Now it is $$\frac{2T}{xV}$$, where $$x<2$$ and $$V<T$$, so NO..

D) The proportion of registered voters to taxpayers has decreased over at the last ten years.
Proportion earlier was $$\frac{T}{V}.$$... and Now it is $$\frac{2T}{xV}$$, where $$x<2$$ and $$V<T$$, so $$\frac{2}{x} *\frac{T}{V}$$......
so it is $$\frac{2}{x}$$ times earlier proportion..
But $$\frac{2}{x} > 1$$, so $$\frac{2}{x} * \frac{T}{V} > \frac{T}{V}$$..
Correct

E) The proportion of registered voters to taxpayers has remained unchanged over at the last ten years
we have already shown above that it is > than previous year

D
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Re: Ten years ago the number of taxpayers in Green County was slightly [#permalink]

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31 May 2016, 23:34
nycgirl212 wrote:
Official Guide for GMAT Verbal Review 2016
Practice Question
Question No.:16
Page: 125
Difficulty:

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.

A) The number of taxpayers is now smaller than the number of registered voters. --(contradicts the argument-- out !!)
B) Everyone who is a registered voter is also a taxpayer. (no where mentioned and what is mentioned is- number of taxpayers in Green County was slightly greater than the number of registered voters---out !!)
C) The proportion of registered voters to taxpayers has increased over at the last ten years. ( 2nd line of the argument says --registered voters has increased ,but at a lower rate than has the number of taxpayers --so out !! )
D) The proportion of registered voters to taxpayers has decreased over at the last ten years. ( has to be true --as registered voters has increased ,but at a lower rate than has the number of taxpayers)
E) The proportion of registered voters to taxpayers has remained unchanged over at the last ten years (-- )

so D
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Re: Ten years ago the number of taxpayers in Green County was slightly [#permalink]

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14 Dec 2016, 19:16
nycgirl212 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?

Type - Inference
Boil it down - Ten years ago number of taxpayers(T) slightly > than number of registered voters(V)
-number of taxpayers(T) = 2x but number of voters(V) increased at a lower rate .

T>> V

V/T has decreased over last 10 years as rate of increase of T has exceeded V and T was slightly more to begin with

A) The number of taxpayers is now smaller than the number of registered voters. Incorrect
B) Everyone who is a registered voter is also a taxpayer. Not necessary
C) The proportion of registered voters to taxpayers has increased over at the last ten years. Incorrect -
D) The proportion of registered voters to taxpayers has decreased over at the last ten years. Correct
E) The proportion of registered voters to taxpayers has remained unchanged over at the last ten years . Incorrect

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Re: Ten years ago the number of taxpayers in Green County was slightly [#permalink]

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18 Dec 2016, 21:42
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Just to make it easier :

Assume :
T= 10 ; V=5

then Tnew=20 (as double) and Vnew = say 9 (v<10 as increase rate is less than T)

Now as per D
The proportion of registered voters to taxpayers

(ten years ago) V/T --> (ten years later) Vnew/Tnew

5/10 --> 9/20
5/10 > 9/20

So, proportion has actually decreased over at the last ten years.
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Re: Ten years ago the number of taxpayers in Green County was slightly [#permalink]

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11 Aug 2017, 20:18
Curious to know how one may be a registered voter if one is not a taxpayer. I suppose you could avoid paying taxes and still be a registered voter (but for how long?). Is this the logic behind this question?

I selected B because it does mention number of taxpayers > number of registered voters
You must pay taxes, but you are not required to be a registered voter

Would like to know what others think

CounterSniper wrote:
nycgirl212 wrote:
Official Guide for GMAT Verbal Review 2016
Practice Question
Question No.:16
Page: 125
Difficulty:

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.

A) The number of taxpayers is now smaller than the number of registered voters. --(contradicts the argument-- out !!)
B) Everyone who is a registered voter is also a taxpayer. (no where mentioned and what is mentioned is- number of taxpayers in Green County was slightly greater than the number of registered voters---out !!)
C) The proportion of registered voters to taxpayers has increased over at the last ten years. ( 2nd line of the argument says --registered voters has increased ,but at a lower rate than has the number of taxpayers --so out !! )
D) The proportion of registered voters to taxpayers has decreased over at the last ten years. ( has to be true --as registered voters has increased ,but at a lower rate than has the number of taxpayers)
E) The proportion of registered voters to taxpayers has remained unchanged over at the last ten years (-- )

so D
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Re: Ten years ago the number of taxpayers in Green County was slightly [#permalink]

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25 Sep 2017, 00:57
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t= tax payer =10
r = voters = 9
this is let say 10 yrs ago

T=20
R=15
Now

=> T/R>t/r

Dis ans
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Re: Ten years ago the number of taxpayers in Green County was slightly   [#permalink] 25 Sep 2017, 00:57
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