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In City X, a television ratings service estimated that

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Manager
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In City X, a television ratings service estimated that [#permalink] New post 26 Nov 2004, 15:19
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A
B
C
D
E

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1:

In City X, a television ratings service estimated that the number of televisions turned to a certain program represented 44 percent of televisions turned on at the exact time the program was aired. How many television in City X were turned to this program?

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

2:

Set T is an infinite sequence of positive integers. A "superset" is a sswquence in which there is a finite number of multiples of three. Is T a superset?

1) The first six integers in T are multiples of three.
2) An infinite number of integers in T are multiples of four.


Please explain the logic behind your answer. For #2, I have hard time understand the question. Please help! I will post official answer later.

:oops:
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 [#permalink] New post 27 Nov 2004, 23:20
1) Answer is D- Each statement is sufficient.
Explanation- 44% of the TVs are tuned to the program and
Question is - How many TVs are tuned to this program ?

Statement 1 - states the total number of TVs in the city So it is sufficient to answer the question.

Statement 2 states the numbr of TVs not tuned to this program.Sufficient to answer the question.

2) Answer is B - Only Second statement is sufficient.

Set T is an infinite sequence of positive integers. A "superset" is a sequence in which there is a finite number of multiples of three.


Question - Is T a superset?

Statement 1 - The first six integers in T are multiples of three

that not necessarily mean that it is a "superset" example ....sequence could be ..............3,3,3,3,3,3,4,4,4,4,4 Not sufficient to answer....


Statement 2 An infinite number of integers in T are multiples of four.

So T is 4,8,12,16,20,24..............which has 12,24 which are multiple of 3....So this is sufficient to answer....

What is OA ?
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Re: 2 DS questions [#permalink] New post 28 Nov 2004, 04:48
For 1: I would go for B.

Question stem: Let number of televisions turned on at the exact time the program was aired be "z". What is the value of z?
44% of z watch the program when it was aired => 54% of z had their tvs turned on but were NOT watching the program.

s[1]: Gives total population but we still dont know what the value of "z" is. So, Insufficient.

s[2]: Gives the of number of people who had their tvs turned on but were NOT watching the program ie 54% of z = 56,000. Now we can calculate z. So, sufficient.


For 2: I would go for E

Question stem: If T has finite multiples of 3, it is a superset. T is an infinite sequence of positive integers.

s[1]: The first 6 integers are 3. But since we know that T is an infinite sequence of positive integers, what about the rest of the integers they can either be multiples of 3 or not. So, insufficient.

s[2]: An infinite number of integers are multiples of 4. This statement still does not any clue about the numbers being multipes of 3. For all we know the set might contain 12, 24, 48... or they may not. So, insufficient

s[1] + s[2]: Does not give us any information either.
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 [#permalink] New post 29 Nov 2004, 09:55
OA for #1 is B, for #2 is E.

Gayathri, thanks for your answer. #1 and #2 are both clear to me know.

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  [#permalink] 29 Nov 2004, 09:55
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