GMAT Club Forum https://gmatclub.com:443/forum/ 

Of 200 people surveyed, 80 percent own a cellular phone and 45 percen https://gmatclub.com/forum/of200peoplesurveyed80percentownacellularphoneand45percen222172.html 
Page 1 of 1 
Author:  evannolimit [ 18 Jul 2016, 02:31 ] 
Post subject:  Of 200 people surveyed, 80 percent own a cellular phone and 45 percen 
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 28946 times ] 
Author:  msk0657 [ 18 Jul 2016, 02:58 ]  
Post subject:  Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen  
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.

Author:  HARRY113 [ 18 Jul 2016, 02:43 ] 
Post subject:  Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen 
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%. 
Author:  thangvietname [ 18 Jul 2016, 07:46 ] 
Post subject:  Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen 
redundant information. we do not need the number 200 to find oa is e. 
Author:  gauz [ 13 Nov 2016, 06:15 ] 
Post subject:  Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen 
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. 
Author:  Abhishek009 [ 13 Nov 2016, 09:23 ] 
Post subject:  Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen 
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)... 
Author:  Revant [ 06 Dec 2016, 11:05 ] 
Post subject:  Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen 
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 
Author:  Cez005 [ 14 Apr 2017, 20:20 ] 
Post subject:  Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen 
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! 
Author:  sid117 [ 18 Apr 2017, 13:38 ] 
Post subject:  Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen 
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% 
Author:  EMPOWERgmatRichC [ 29 Jan 2018, 15:17 ] 
Post subject:  Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen 
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 
Author:  NandishSS [ 07 Jan 2019, 07:23 ] 
Post subject:  Of 200 people surveyed, 80 percent own a cellular phone and 45 percen 
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% Attachment: Screen Shot 20160718 at 5.24.51 PM.png HI Bunuel, niks18, Gladiator59, either do not own a cellular phone or do not own a pager Does it mean only a cellular phone and only pager? 
Author:  niks18 [ 07 Jan 2019, 07:30 ] 
Post subject:  Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen 
NandishSS wrote: 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% Attachment: Screen Shot 20160718 at 5.24.51 PM.png HI Bunuel, niks18, Gladiator59, either do not own a cellular phone or do not own a pager Does it mean only a cellular phone and only pager? Hi NandishSS yes your understanding is correct. You can visualize the question as Those who do not own cellular phone = Those who own pagers only Those who do not own pager = Those who own cellular phones only So those who do not own a cellular phone or a pager = Those who own only cellular phone + those who own only pager 
Author:  ScottTargetTestPrep [ 04 Apr 2019, 18:53 ] 
Post subject:  Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen 
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% Attachment: Screen Shot 20160718 at 5.24.51 PM.png We can use the formula for overlapping sets for this problem: Total = #Cell + #Pager  Both + Neither 200 = 160 + 90  x + 0 200 = 250  x 50 = x We see that 50 individuals own both a cell phone and a pager. Thus, the number of people who own a cell phone and not a pager is 160  50 = 110. Similarly, of the 90 individuals who own a pager, there are 90  50 = 40 who own a pager and not a cell phone. Thus, there are 110 + 40 = 150 who either do not own a cell phone or do not own a pager. This number represents 150/200 = 3/4 x 100% = 75% of the people surveyed. Answer: E 
Author:  dabaobao [ 02 Dec 2019, 05:01 ]  
Post subject:  Of 200 people surveyed, 80 percent own a cellular phone and 45 percen  
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% Attachment: The attachment Screen Shot 20160718 at 5.24.51 PM.png is no longer available We don't need to use the actual numbers since we need a percent as our answer, saving us some calculations. Most efficient way to do this Q is to use a doubleset matrix as shown in the attachment. "either do not own a cellular phone or do not own a pager" => ~C + ~P = 20 + 55 = 75% ANSWER: E

Author:  alessandro77 [ 05 May 2020, 18:14 ] 
Post subject:  Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen 
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% Attachment: Screen Shot 20160718 at 5.24.51 PM.png I don't know why all answers were extremely complicated, this is the simplest solution. 80% own a cell phone, so 20% do not own a cellphone. 45% own a pager, so 55% do not own a pager 20%+55%=75% 
Author:  v12345 [ 10 Jul 2021, 09:52 ] 
Post subject:  Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen 
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% Attachment: Screen Shot 20160718 at 5.24.51 PM.png Percent who do not own a cellular phone = 100  80 = 20% Percent who do not own a pager = 100  45 = 55% Percent of those surveyed either do not own a cellular phone or do not own a pager = 20 + 55 = 75% Hence, the OA is (E). 
Author:  bumpbot [ 05 Aug 2022, 01:41 ] 
Post subject:  Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen 
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. 
Page 1 of 1  All times are UTC  8 hours [ DST ] 
Powered by phpBB © phpBB Group http://www.phpbb.com/ 