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Most serious students are happy students, and most serious

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Most serious students are happy students, and most serious [#permalink] New post 06 Aug 2009, 16:50
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Most serious students are happy students, and most serious students go to graduate school. Furthermore, all students who go to graduate school are overworked.


Which one of the following can be properly inferred from the statements above?

1) Most overworked students are happy students.
2) Some happy students are overworked
3) All overworked students are serious students
4) Some unhappy students go to graduate school
5) All serious students are overworked

answer is B

thanks for explaining
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Re: CR Question - from PowerScore [#permalink] New post 06 Aug 2009, 17:42
this is formal logic and isn't tested on the GMAT, only on the lsat, so unless you are interested for your curiosity's sake I wouldn't worry about it
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Re: CR Question - from PowerScore [#permalink] New post 06 Aug 2009, 19:36
B it is.
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Re: CR Question - from PowerScore [#permalink] New post 09 Aug 2009, 05:04
B
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Re: CR Question - from PowerScore [#permalink] New post 10 Aug 2009, 01:09
bipolarbear wrote:
this is formal logic and isn't tested on the GMAT, only on the lsat, so unless you are interested for your curiosity's sake I wouldn't worry about it



Just out of curiosity, what is a formal logic?


Btw, IMO the answer is B.
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Re: CR Question - from PowerScore [#permalink] New post 10 Aug 2009, 17:21
B...kind of question like IF A then B, then if NOT B then NOT A? questions like these i think...logic stuff...
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Re: CR Question - from PowerScore [#permalink] New post 11 Aug 2009, 05:55
B

In questions like these, it is preferred to look at the words like - some, may be, etc
Errors will contain words like - only, all,
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Re: CR Question - from PowerScore [#permalink] New post 11 Aug 2009, 06:22
Awesome question.

Someone can explain more clearly?
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Re: Most serious students are happy students, and most serious [#permalink] New post 19 Jun 2014, 17:26
This was my line of thinking as I wrote this out, also yes I am reviving a 5 year old thread :).

S = Serious Students
H = Happy
G = Serious Students who Go to Graduate School
O = Over worked

Most S = H
Most S = G
H = G
Most serious students who are happy = Most Serious Students who go to graduate school

All G = O, and this can also be assumed as "some" serious students who go to graduate school, since an alternative to "ALL" could be "some."

If that is the case then can you not also assume that "some" serious students who are happy = some serious students who go to graduate school?

So in this case "some G" = "some" students who are overworked, and "some" G = "some" students who are happy, as indicated above.

B) Some happy students are overworked
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Re: Most serious students are happy students, and most serious [#permalink] New post 19 Jun 2014, 21:18
Expert's post
MontrealLady wrote:
Most serious students are happy students, and most serious students go to graduate school. Furthermore, all students who go to graduate school are overworked.


Which one of the following can be properly inferred from the statements above?

1) Most overworked students are happy students.
2) Some happy students are overworked
3) All overworked students are serious students
4) Some unhappy students go to graduate school
5) All serious students are overworked

answer is B

thanks for explaining


You can make Venn diagrams to understand the given data.
Attachment:
Ques3.jpg
Ques3.jpg [ 31.82 KiB | Viewed 188 times ]


Most serious students are happy students, - More than 50% of serious students are happy so the red and yellow circle overlap such that more than 50% of the red circle is covered by the yellow circle.

and most serious students go to graduate school - More than 50% of serious students are go to graduate schools so the red and green circle overlap such that more than 50% of the red circle is covered by the green circle.

This implies that the yellow and the green circle will definitely have some overlap.

Furthermore, all students who go to graduate school are overworked. - The white circle envelopes the green circle completely.

Since yellow (happy students) circle does overlap with green circle (go to graduate school) and green circle is inside the white (overworked) circle,. it means the yellow circle and white circle must overlap atleast a bit.

So some happy students are overworked.

Answer (B)

None of the other options "must be true". They may or may not be true but we cannot properly infer them.
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Re: Most serious students are happy students, and most serious   [#permalink] 19 Jun 2014, 21:18
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