Author 
Message 
TAGS:

Hide Tags

Verbal Forum Moderator
Joined: 15 Apr 2013
Posts: 184
Location: India
Concentration: General Management, Marketing
GMAT Date: 11232015
GPA: 3.6
WE: Science (Other)

Ten years ago the number of taxpayers in Green County was slightly
[#permalink]
Show Tags
08 Jul 2015, 10:52
Question Stats:
76% (01:17) correct 24% (01:13) wrong based on 1297 sessions
HideShow timer Statistics
Ten years ago the number of taxpayers in Greenspace 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. Verbal OG 2019 CR02270
Official Answer and Stats are available only to registered users. Register/ Login.




Manager
Joined: 22 Sep 2015
Posts: 102

Re: Ten years ago the number of taxpayers in Green County was slightly
[#permalink]
Show Tags
Updated on: 04 Jun 2016, 23:46
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.
Originally posted by nycgirl212 on 31 May 2016, 14:33.
Last edited by nycgirl212 on 04 Jun 2016, 23:46, edited 1 time in total.




Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8288
Location: Pune, India

Re: Ten years ago the number of taxpayers in Green County was slightly
[#permalink]
Show Tags
02 Mar 2016, 21:43
WillGetIt wrote: Ten years ago the number of taxpayers in Greenspace County was slightly greater than the number o 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
Advice to attempt this question: This is easy problem as long as you write equation before answering
[i]"Please hit kudos if you like this post" Proportion of registered voters to taxpayers = R/T 10 years ago: T was slightly greater than R. So R/T was slightly less than 1. Now: T has become 2T R has become say 1.5R (R has increased but at a lower rate so it has not become 2R) 1.5R/2T = (3/4)*(R/T) => This is smaller than R/T since R/T is multiplied by a number smaller than 1. So R/T has reduced over the last 10 years. Answer (D)
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
GMAT selfstudy has never been more personalized or more fun. Try ORION Free!



Math Expert
Joined: 02 Aug 2009
Posts: 6800

Re: Ten years ago the number of taxpayers in Green County was slightly
[#permalink]
Show Tags
31 May 2016, 19:37
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 OppositeB) 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 \(\frac{2}{x} * \frac{T}{V} > \frac{T}{V}\).. CorrectE) 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 yearD
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



Director
Joined: 20 Feb 2015
Posts: 733
Concentration: Strategy, General Management

Re: Ten years ago the number of taxpayers in Green County was slightly
[#permalink]
Show Tags
01 Jun 2016, 00:34
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 votersout !!) 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



Verbal Forum Moderator
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2107
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE: Information Technology (Consulting)

Re: Ten years ago the number of taxpayers in Green County was slightly
[#permalink]
Show Tags
14 Dec 2016, 20:16
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 Answer D
_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it.  Henry Ford The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long +1 Kudos if you find this post helpful



Manager
Joined: 15 Apr 2016
Posts: 81

Re: Ten years ago the number of taxpayers in Green County was slightly
[#permalink]
Show Tags
18 Dec 2016, 22:42
Just to make it easier : Assume : T= 10 ; V=5 then T new=20 (as double) and V new = 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) V new/T new5/10 > 9/20 5/10 > 9/20 So, proportion has actually decreased over at the last ten years.
_________________
Cheers, Shri  GMAT is not an Exam... it is a war .. Let's Conquer !!!



SVP
Joined: 12 Dec 2016
Posts: 1789
Location: United States
GPA: 3.64

Re: Ten years ago the number of taxpayers in Green County was slightly
[#permalink]
Show Tags
10 Jul 2017, 23:26
oh man, working with proportion concept may really devastate your mental visualization. I do go for D after reading the passage, but it takes me 3 min to figure it out how D fits in the real formula.



VP
Status: Learning
Joined: 20 Dec 2015
Posts: 1169
Location: India
Concentration: Operations, Marketing
GPA: 3.4
WE: Engineering (Manufacturing)

Re: Ten years ago the number of taxpayers in Green County was slightly
[#permalink]
Show Tags
11 Jul 2017, 10:22
Imo D The proportion decreased as number of taxpayer doubled and registered voters increased slightly . Tax payer =100 Registered voter =90 After the increase Taxpayer =200 Registered voter =150 Initial proportion=90/100 Final proportion =150/200 so the proportion decreased .
_________________
Please give kudos if you found my answers useful



SVP
Joined: 12 Dec 2016
Posts: 1789
Location: United States
GPA: 3.64

Re: Ten years ago the number of taxpayers in Green County was slightly
[#permalink]
Show Tags
11 Jul 2017, 16:39
arvind910619 wrote: Imo D The proportion decreased as number of taxpayer doubled and registered voters increased slightly . Tax payer =100 Registered voter =90 After the increase Taxpayer =200 Registered voter =150 Initial proportion=90/100 Final proportion =150/200 so the proportion decreased . yeah, I follow the same method, but i make a mistake let registered voters 10 and tax payers 11 => then new registered voter is 20 and taxpayers are 22 => big mistake right.



Manager
Joined: 05 Nov 2014
Posts: 112
Location: India
Concentration: Strategy, Operations
GPA: 3.75

Re: Ten years ago the number of taxpayers in Green County was slightly
[#permalink]
Show Tags
11 Jul 2017, 23:20
Error Analysis:
No. of taxpayers=110 No. of voters=100
Proportion of Voters to Tax payers= (100/110)=0.9
After 10 years No. of Tax Payers=1000 No .of voters =800
Proportion of Voters to Tax Payers= (800/1000)=0.8
Therefore the Proportion has decreased. Option D.



Intern
Joined: 29 Jan 2017
Posts: 48

Re: Ten years ago the number of taxpayers in Green County was slightly
[#permalink]
Show Tags
11 Aug 2017, 21:18
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 votersout !!) 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



Senior Manager
Joined: 29 Jun 2017
Posts: 487
GPA: 4
WE: Engineering (Transportation)

Re: Ten years ago the number of taxpayers in Green County was slightly
[#permalink]
Show Tags
25 Sep 2017, 01:57
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
_________________
Give Kudos for correct answer and/or if you like the solution.



Study Buddy Forum Moderator
Joined: 04 Sep 2016
Posts: 1195
Location: India
WE: Engineering (Other)

Re: Ten years ago the number of taxpayers in Green County was slightly
[#permalink]
Show Tags
03 Feb 2018, 21:15
chetan2uQuote: 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 \(Vso it is \(\frac{2}{x}\) times earlier proportion.. But \(\frac{2}{x} > 1\), so \(\frac{2}{x} * \frac{T}{V} > \frac{T}{V}\).. Correct
On few rare occasions, my approach matched with experts. However I took x as 1.5 since I knew that the no of registered voters has increase but not as much as that of tax payers. Will this work good too?
_________________
It's the journey that brings us happiness not the destination.



Senior Manager
Joined: 12 Feb 2015
Posts: 432

Re: Ten years ago the number of taxpayers in Green County was slightly
[#permalink]
Show Tags
31 May 2018, 02:37
Let "T" be number of taxpayers in Greenspace County Let "V" be number of registered voters Given that ten years ago T > V Over ten years "T" has doubled to 2T & "V" has increased but at a lower rate than "T", i.e. lets assume 1.5V Using smart number can communicate the message quickly: Let T + V = 100 [Given that ten years ago T > V, let T = 60 and V = 40] Proportion of V to T is 2 to 3 [40 to 60] Over ten years "T" has doubled to 2T  i.e. 60 became 120 & "V" has increased but at a lower rate than "T", i.e. lets assume 1.5V  i.e. 40 became 60 Revised Proportion 1.5V to 2T is 1 to 2 [60 to 120] Clearly "The proportion of registered voters to taxpayers has decreased over the last ten years, i.e. from 2/3 to 1/2". Therefore Option D is correct answer.
_________________
"Please hit +1 Kudos if you like this post"
_________________ Manish
"Only I can change my life. No one can do it for me"




Re: Ten years ago the number of taxpayers in Green County was slightly &nbs
[#permalink]
31 May 2018, 02:37






