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In City X, a television ratings service estimates that the

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Director
Joined: 11 Jun 2007
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In City X, a television ratings service estimates that the [#permalink]  27 Oct 2007, 11:33
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In City X, a television ratings service estimates that the number of televisions tuned to a certain program represented 44 percent of televisions turned on at the exact time the program was aired. How many televisions in City X were tuned to this program?

(1) There are 1,000,000 televisions in City X.
(2) Fifty-six thousand televisions in City X were turned on but not tuned to the program.
Manager
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B.

1) INSUFF
No information on how many tv's were turned on

2) SUFFICIENT
This gives us information to calculate the percentage tuned in
Director
Joined: 11 Jun 2007
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yuefei wrote:
What's the OA?

sorry about that. OA is B.
Senior Manager
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Re: DS Princeton CAT [#permalink]  29 Jan 2011, 12:14
I disagree with the OA b/c the q asks for those who were tuned to the program. The percentage given is the amt of people who tuned in at the exact time the prog was being aired. (There are those who are viewing in the middle of the prog and those who tuned in right when the program began) Hence, both choices are insuff. IMO... I would love to be proven wrong if anyone has something to say on this issue.

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Re: DS Princeton CAT [#permalink]  29 Jan 2011, 13:39
Expert's post
eyunni wrote:
In City X, a television ratings service estimates that the number of televisions tuned to a certain program represented 44 percent of televisions turned on at the exact time the program was aired. How many televisions in City X were tuned to this program?

(1) There are 1,000,000 televisions in City X.
(2) Fifty-six thousand televisions in City X were turned on but not tuned to the program.

The OA given is correct. If 100 TVs were turned on at the time the program was aired (exact time that program was aired means that if it was aired from 8 to 8:30 pm, the TVs were turned on at that time, not in the morning. It does not mean that the TVs were turned on at exactly 8:00 pm), 44% of them were tuned to this program. This implies 56% of them were not tuned to this program.
Since statement 2 tells us that 56% is 56,000 so 44% must be 44,000. These must be the TVs tuned to this program in total.
(If someone's TV is off at the time of airing or someone's TV was on in the morning, he anyway couldn't have tuned to the program. We ignore the role of DVRs.)

Note: Statement 2 doesn't specifically mention 'were turned on at the exact time the program was aired' but I think in the question they definitely meant it.
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