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All students at Pitcombe College were asked to label

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All students at Pitcombe College were asked to label [#permalink] New post 17 Dec 2010, 06:06
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A
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C
D
E

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  45% (medium)

Question Stats:

80% (01:44) correct 20% (01:16) wrong based on 10 sessions
All students at Pitcombe College were asked to label themselves conservative, liberal, or middle-of-the-road politically. Of the students, 25 percent labelled themselves conservative, 24 percent labelled themselves liberal, and 51 percent labelled themselves middle-of-the-road. When asked about a particular set of issues, however, 77 percent of the students endorsed what is generally regarded as a liberal position.
If all of the statements above are true, which one of the following must also be true?
(A) All students who labelled themselves liberal endorsed what is generally regarded as a liberal position on that set of issues.
(B) More students who labelled themselves middle-of-the road than students who labelled themselves liberal opposed what is generally regarded as a liberal position on that set of issues.
(C) The majority of students who labelled themselves middle-of-the-road opposed what is generally regarded as a liberal position on that set of issues.
(D) Some students who labelled themselves conservative endorsed what is generally regarded as a liberal position on that set of issues.
(E) Some students who labelled themselves liberal endorsed what is generally regarded as a conservative position on that set of issues.
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Re: need help in CR to sort out doubt ?? [#permalink] New post 17 Dec 2010, 07:40
aimkp wrote:
All students at Pitcombe College were asked to label themselves conservative, liberal, or middle-of-the-road politically. Of the students, 25 percent labelled themselves conservative, 24 percent labelled themselves liberal, and 51 percent labelled themselves middle-of-the-road. When asked about a particular set of issues, however, 77 percent of the students endorsed what is generally regarded as a liberal position.
If all of the statements above are true, which one of the following must also be true?
(A) All students who labelled themselves liberal endorsed what is generally regarded as a liberal position on that set of issues.
(B) More students who labelled themselves middle-of-the road than students who labelled themselves liberal opposed what is generally regarded as a liberal position on that set of issues.
(C) The majority of students who labelled themselves middle-of-the-road opposed what is generally regarded as a liberal position on that set of issues.
(D) Some students who labelled themselves conservative endorsed what is generally regarded as a liberal position on that set of issues.
(E) Some students who labelled themselves liberal endorsed what is generally regarded as a conservative position on that set of issues.

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Re: need help in CR to sort out doubt ?? [#permalink] New post 17 Dec 2010, 07:50
I thought it was D! And it is :)... where is the q from?
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Re: need help in CR to sort out doubt ?? [#permalink] New post 18 Dec 2010, 11:37
aimkp wrote:
All students at Pitcombe College were asked to label themselves conservative, liberal, or middle-of-the-road politically. Of the students, 25 percent labelled themselves conservative, 24 percent labelled themselves liberal, and 51 percent labelled themselves middle-of-the-road. When asked about a particular set of issues, however, 77 percent of the students endorsed what is generally regarded as a liberal position.
If all of the statements above are true, which one of the following must also be true?
(A) All students who labelled themselves liberal endorsed what is generally regarded as a liberal position on that set of issues.
(B) More students who labelled themselves middle-of-the road than students who labelled themselves liberal opposed what is generally regarded as a liberal position on that set of issues.
(C) The majority of students who labelled themselves middle-of-the-road opposed what is generally regarded as a liberal position on that set of issues.
(D) Some students who labelled themselves conservative endorsed what is generally regarded as a liberal position on that set of issues.
(E) Some students who labelled themselves liberal endorsed what is generally regarded as a conservative position on that set of issues.


Please tag the source of the CR's you post.

Reg this A - all liberal is not clear.
B out - if middle-of road students opposed then the % wud be less
C out - same as B
E - possible candidate..but weaker compared to D.
D - sounds perfect...
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Re: need help in CR to sort out doubt ?? [#permalink] New post 18 Dec 2010, 23:21
I can't quite tell what your question about this question is. If it is just "why is that the answer" - well, this question is not really CR. It is more like arithmetic. 77 percent endorsed a "liberal" position on this set of issues. The total percentage who self-identified as anything other than "conservative" was only 75%. So no matter how many of the "liberal" and "m-o-r" students endorsed the "liberal" position, we know that SOME of the "conservatives" must have done so. If NONE of the conservatives did so, the percentage out of the total who endorsed that "liberal" position could not have been higher than 75%.
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Re: need help in CR to sort out doubt ?? [#permalink] New post 19 Dec 2010, 03:05
Easy one this. All it requires is some simple math

Assume that all middle of the road and liberals approved the liberal measure

As 24% were liberal and 51% middle of the road adding them gives us 51 + 24 = 75%

But according to the passage 77% of students endorsed the liberal measure. In order to add up to 77% it means, if all middle of the road and liberals endorsed the measure, at least 2% of conservatives HAVE TO have endorsed the measure otherwise there is no other way to reach 77%.

To make it even more obvious, if there were 100 voters that means 25 of them were conservative; if all the conservative voters rejected the measure, that would mean 100 - 25 = 75% of the votes would remain so there would be no way to reach 77% even if all the middle of road and liberals endorsed the measure.
Re: need help in CR to sort out doubt ??   [#permalink] 19 Dec 2010, 03:05
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