Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 07 Jul 2016
Posts: 2

Of 200 people surveyed, 80 percent own a cellular phone and 45 percen
[#permalink]
Show Tags
18 Jul 2016, 02:31
Question Stats:
80% (02:10) correct 20% (02:35) wrong based on 355 sessions
HideShow timer Statistics
Of 200 people surveyed, 80 percent own a cellular phone and 45 percent own a pager. If all 200 people surveyed own a cellular phone, or a pager, or both, what percent of those surveyed either do not own a cellular phone or do not own a pager? (A) 35% (B) 45% (C) 55% (D) 65% (E) 75% Attachment:
Screen Shot 20160718 at 5.24.51 PM.png [ 840.86 KiB  Viewed 6265 times ]
Official Answer and Stats are available only to registered users. Register/ Login.



Intern
Joined: 06 Aug 2015
Posts: 48
Concentration: General Management, Entrepreneurship
GMAT Date: 10302016
GPA: 3.34
WE: Programming (Consulting)

Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen
[#permalink]
Show Tags
18 Jul 2016, 02:43
My option E) Straight forward answer if you follow 2x2 matrix method.. cell , not cell Pag   90 N. pag   110 160 40 200 Required = 110+90 = 150 therefore, 150/200 = 75%.



Retired Moderator
Joined: 26 Nov 2012
Posts: 595

Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen
[#permalink]
Show Tags
18 Jul 2016, 02:58
evannolimit wrote: Of 200 people surveyed, 80 percent own a cellular phone and 45 percent own a pager. If all 200 people surveyed own a cellular phone, or a pager, or both, what percent of those surveyed either do not own a cellular phone or do not own a pager?
(A) 35% (B) 45% (C) 55% (D) 65% (E) 75% This is how I tried. Since this is percentage and number type, converting all into percentages. Here we are asked the percentage of people who don't have neither CP or Pager. We are given 80% hold CP i.e. 20% does't have CP. Similarly for the pager. Hence 75%. Option E.
Attachments
sol.png [ 46.14 KiB  Viewed 6211 times ]



Director
Joined: 09 Jun 2010
Posts: 954

Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen
[#permalink]
Show Tags
18 Jul 2016, 07:46
redundant information. we do not need the number 200 to find oa is e.



Intern
Joined: 06 Oct 2012
Posts: 26
Location: India
GMAT 1: 590 Q47 V25 GMAT 2: 710 Q49 V38
GPA: 3

Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen
[#permalink]
Show Tags
13 Nov 2016, 06:15
victory47 wrote: redundant information. we do not need the number 200 to find oa is e. we can... 80% who own cellular phone = 160 45% own pager = 90 total who own cellular phone = 160+90=250. However total number of people is 200 so 250200=50 people own both.. now we need people who either own a cp or a pager (but not both), so we substract the 50 from 200=150 is our required population. (150\200)*100 = 75.
_________________
A river cuts through rock, not because of its power, but because of its persistence  Never Give up.



Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4106
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)

Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen
[#permalink]
Show Tags
13 Nov 2016, 09:23
evannolimit wrote: Of 200 people surveyed, 80 percent own a cellular phone and 45 percent own a pager. If all 200 people surveyed own a cellular phone, or a pager, or both, what percent of those surveyed either do not own a cellular phone or do not own a pager?
(A) 35% (B) 45% (C) 55% (D) 65% (E) 75% n ( C ∪ P ) = n ( C ) + n ( P )  n ( C ∩ P ) 200 = 160 + 90  n ( C ∩ P ) Or, n ( C ∩ P ) = 250  200 Or, n ( C ∩ P ) = 50 So, Percentage of people owning both a Cell Phone & Pager is 25% and 75% owns a Cell Phone + Pager... Thus , 75% either do not own a cellular phone or do not own a pager.. Hence, answer will be (E)...
_________________
Thanks and Regards
Abhishek....
PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS
How to use Search Function in GMAT Club  Rules for Posting in QA forum  Writing Mathematical Formulas Rules for Posting in VA forum  Request Expert's Reply ( VA Forum Only )



Intern
Joined: 30 Apr 2015
Posts: 6

Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen
[#permalink]
Show Tags
06 Dec 2016, 11:05
We know : T (total)  N (neither)= A + B  K(both) Total : 100% (given) Neither : 0 % (given) 100 0 = 80 + 45 + K => K = 125100= 25 Now we know that A= A1 + K i.e. A= Own cellular phone, K = own cellular phone and pager, A1= own's cellular phone only and not pager , => 80=A1 + 25 =>A1= 55 Similarly B=B1 + K, => B1= 20 So A1 + B1 = 55+20 = 75 Ans : E



Manager
Joined: 13 Dec 2013
Posts: 156
Location: United States (NY)
Concentration: Nonprofit, International Business
GMAT 1: 710 Q46 V41 GMAT 2: 720 Q48 V40
GPA: 4
WE: Consulting (Consulting)

Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen
[#permalink]
Show Tags
14 Apr 2017, 20:20
The 80% (160) that own a cell phone and 45% (90) that own a pager also include those that own both. If c=cell phone owners only, p=pager owners only and b=both, then: Total=(c+b)+(p+b)b So, 200=160+90b b=50, so 150 own only one of either a pager or cell. 75%.
If you like and/or agree then kudos. If you have a better method, please comment!



Intern
Joined: 08 Mar 2017
Posts: 1
GMAT 1: 690 Q46 V39 GMAT 2: 700 Q46 V40

Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen
[#permalink]
Show Tags
18 Apr 2017, 13:38
Quote: Of 200 people surveyed, 80 percent own a cellular phone and 45 percent own a pager. If all 200 people surveyed own a cellular phone, or a pager, or both, what percent of those surveyed either do not own a cellular phone or do not own a pager? 80% own cell phone, 20% do not. 45% own pager, 55% do not. So percent of those who either do not own cell phone or do not own pager is 20% + 55% = 75%



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12639
Location: United States (CA)

Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen
[#permalink]
Show Tags
29 Jan 2018, 15:17
Hi All, This question is a modified version of a typical Overlapping Sets question. You can solve it with the tictactoe board or the Overlapping Sets Formula: Total = (Group 1) + (Group 2)  Both + Neither In this prompt, we're told that ALL 200 people own at least one of the two items, so the 'Neither' group would be 0. 80% of 200 = 160 people own a cell phone 45% of 200 = 90 people own a pager Plugging that data into the formula, we have... 200 = 160 + 90  Both 200 = 250  Both Both = 50 Since 50 of the 200 people have both items, the other 200  50 = 150 people have just one item. As a percentage of the total, that is 150/200 = 75% Final Answer: GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****




Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen &nbs
[#permalink]
29 Jan 2018, 15:17






