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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 23 Dec 2003, 10:32
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A
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D
E

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Question Stats:

33% (02:30) correct 67% (02:01) wrong based on 2 sessions
All students at Pitcombe College were asked to label themselves conservative, liberal, or middle-of-the-road politically. Of the students, 25 percent labeled themselves conservative,24 percent labeled themselves liberal, and 51 percent labeled 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 labeled themselves liberal endorsed what is generally regarded as a liberal position on that set of issues.

(B) More students who labeled themselves middle-of-the road than students who labeled themselves liberal opposed what is generally regarded as a liberal position on that set of issues.

(C) The majority of students who labeled themselves middle-of-the-road opposed what is generally regarded as a liberal position on that set of issues.

(D) Some students who labeled themselves conservative endorsed what is generally regarded as a liberal position on that set of issues.

(E) Some students who labeled themselves liberal endorsed what is generally regarded as a conservative position on that set of issues.
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 [#permalink] New post 23 Dec 2003, 15:10
D also because, in the extreme case, all of the liberal(24%) and middle-of-the-road(51%) would endorse the issue. This would total up to 75%. Thus, there must be at least a 2% in the conservative ones who would endorse the issue
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 [#permalink] New post 23 Dec 2003, 16:01
:yes , D
  [#permalink] 23 Dec 2003, 16:01
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All students at Pitcombe College were asked to label

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