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 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 2016-07-18 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.

 Attachments: sol.png [ 46.14 KiB | Viewed 31055 times ]

 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 cellPag - - 90N. pag - - 110 160 40 200Required = 110+90 = 150therefore, 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 = 16045% own pager = 90total who own cellular phone = 160+90=250. However total number of people is 200 so 250-200=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 - 200Or, n ( C ∩ P ) = 50So, 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 = 125-100= 25Now 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= 55Similarly B=B1 + K, => B1= 20So A1 + B1 = 55+20 = 75Ans : 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)-bSo, 200=160+90-bb=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 tic-tac-toe 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 2016-07-18 at 5.24.51 PM.pngHI 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 2016-07-18 at 5.24.51 PM.pngHI 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 NandishSSyes your understanding is correct. You can visualize the question as Those who do not own cellular phone = Those who own pagers onlyThose who do not own pager = Those who own cellular phones onlySo 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 2016-07-18 at 5.24.51 PM.pngWe can use the formula for overlapping sets for this problem:Total = #Cell + #Pager - Both + Neither200 = 160 + 90 - x + 0200 = 250 - x 50 = xWe 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 2016-07-18 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 double-set matrix as shown in the attachment.

"either do not own a cellular phone or do not own a pager" => ~C + ~P = 20 + 55 = 75%