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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