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Of 200 people surveyed, 80 percent own a cellular phone and 45 percen [#permalink]
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 18 Jul 2016, 02:31
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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: 
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Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen [#permalink]
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18 Jul 2016, 02:43
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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%.
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Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen [#permalink]
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18 Jul 2016, 02:58
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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.
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Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen [#permalink]
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18 Jul 2016, 07:46
redundant information. we do not need the number 200 to find oa is e.
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Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen [#permalink]
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13 Nov 2016, 06:15
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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 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.
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Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen [#permalink]
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13 Nov 2016, 09:23
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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)...
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Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen [#permalink]
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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 = 125-100= 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
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Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen [#permalink]
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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+90-b
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!
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Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen [#permalink]
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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%
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Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen [#permalink]
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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 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
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Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen
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29 Jan 2018, 15:17
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