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Of 200 people surveyed, 80 percent own a cellular phone and 45 percen
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18 Jul 2016, 02:31
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78% (02:13) correct 22% (02:35) wrong based on 360 sessions
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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?
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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.
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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
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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
Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen
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14 Apr 2017, 20:20
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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!
Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen
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18 Apr 2017, 13:38
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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%
Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen
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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%
Of 200 people surveyed, 80 percent own a cellular phone and 45 percen
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07 Jan 2019, 07:23
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?
Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen
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07 Jan 2019, 07:30
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?
Re: Of 200 people surveyed, 80 percent own a cellular phone and 45 percen
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04 Apr 2019, 18:53
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?
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.
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78% (02:13) correct 
