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Most serious students are happy students, and most serious

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MontrealLady
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Most serious students are happy students, and most serious [#permalink] New post   06 Aug 2009, 17:50
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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
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B
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Re: Most serious students are happy students, and most serious [#permalink] New post   19 Jun 2014, 22:18
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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 16466 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] New post   06 Aug 2009, 18:42
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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: Most serious students are happy students, and most serious [#permalink] New post   10 Aug 2009, 02:09
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: Most serious students are happy students, and most serious [#permalink] New post   10 Aug 2009, 18:21
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: Most serious students are happy students, and most serious [#permalink] New post   11 Aug 2009, 06:55
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: Most serious students are happy students, and most serious [#permalink] New post   11 Aug 2009, 07:22
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, 18:26
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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Most serious students are happy students, and most serious [#permalink] New post   Updated on: 26 Dec 2015, 01:54
I will disassemble the argument


1. Most serious-------->Happy
Most serious--------->go to grad school

2. All students in grad school----> over worked

Few points before going to answer.
Two categories of students here. Most serious and other students.

a. We don’t know how much % does 'most serious' students occupy in the entire pool of students.
b. Other students can be happy
c. Other students go to school
d. Other students do over work
e. Most=above 50%
f. Some= An unknown quantity(less than 50% ?)

1) Most overworked students are happy students.- we can,t say that
2) Some happy students are overworked- yep an unknown quantity of happy students are
overworked. It can be 1% to 100%.
3) All overworked students are serious students – no only some over worked students are serious
4) Some unhappy students go to graduate school- All other students also can be happy.
5) All serious students are overworked---Unhappy students can be there in the pool who is
working hard

please do mention if i am wrong in my reasoning.

Originally posted by pkm9995 on 25 Dec 2015, 22:44.
Last edited by pkm9995 on 26 Dec 2015, 01:54, edited 1 time in total.
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Re: Most serious students are happy students, and most serious [#permalink] New post   26 Dec 2015, 00:17
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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



There is a group of serious students..
given that:-
1)Most serious students are happy students... Most would mean >50%
2) most serious students go to graduate school...

since both the groups "happy students" and "students go to graduate school" have most of the serious students within its ambit..
there ha sto be atleast a few of both the groups overlapping,
that is some serious students have to be common to the two groups.."happy students" and "students go to graduate school" ...
whcih in turn means that some happy students go to graduate school
But we are also told that all th egraduate school students are overworked..
so some happy students go to graduate school can be written as some happy students are overworked students
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Re: Most serious students are happy students, and most serious [#permalink] New post   19 Jul 2017, 01:40
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Reading the passage of such confusing kind of this question in gmat makes me feel like I am being hypnotized.
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Most serious students are happy students, and most serious [#permalink] New post   02 Nov 2017, 07:38
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MontrealLady wrote:
Most serious students(SS) are happy students(HS), and most serious students go to graduate school(GS). Furthermore, all students who go to graduate school are overworked.


If we are taking ALL as 100 (just for base reference!)
MOST -- more than half (51-100)
ALL -- 100
SOME -- Atleast ONE (1-100)
NOT ALL -- 0-99

Now, coming to the question,

I have abbreviated some of the terms or names you can say, for easy understanding.

MOST SS --> HS
MOST SS --> GS
ALL GS students --> Overworked

Which one of the following can be properly inferred from the statements above?
As this is an INFERENCE question, it MUST BE TRUE or we can say MOST STRONGLY SUPPORTED FROM THE above facts.

1) Most overworked students are happy students.
Cannot be inferred. Cannot say that from the facts in hand.

2) Some happy students are overworked
By POE. It remains.

3) All overworked students are serious students
Cannot be inferred. Cannot say that from the facts in hand.

4) Some unhappy students go to graduate school
The facts are talking about the happy students, there is no information about the unhappy students.

5) All serious students are overworked
If we replace "All" with "Most" than it would be correct. For "all" we cannot infer.
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Most serious students are happy students, and most serious [#permalink] New post   21 Jun 2019, 18:11
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>50% of serious students are happy student (group 1)
>50% of serious students are going to graduate school (group 2)
----> at this point these ">50%" does not necessarily comprise of the same individual students, but since both of them are more than half, "SOME" students will be in both groups i.e. some individual in group 1 will also be in group 2

All students who go to graduate school are overworked.
-----> it means all from group 2 are overworked. Since we know that some students from group 1 will also be in group 2, it can be inferred that "Some happy students are overworked"
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Re: Most serious students are happy students, and most serious [#permalink] New post   02 Nov 2019, 08:17
Hi,
Please confirm why is Option (D) incorrect. We can infer that some unhappy students go to graduate school looking at the venn diagram
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Re: Most serious students are happy students, and most serious [#permalink] New post   31 Mar 2022, 09:14
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?

Overlapping sets problem. Sets are Serious Students(SS), happy students(HS), graduate school(GS(representing all students)) and overworked(O).
Flow is as follows:
most SS ---> HS, most SS ---> GS, all GS ---> O
Note that reverse may or may not be true in all the above scenarios.

1) Most overworked students are happy students. - WRONG. Not all students in GS are happy students.
2) Some happy students are overworked - CORRECT. Yes, a possibility.
3) All overworked students are serious students - WRONG. Not serious also make it to GS.
4) Some unhappy students go to graduate school - WRONG. Not sure since uphappy students segment is not known.
5) All serious students are overworked - WRONG. - What about minority segment of the SS who don't make it to GS.

Answer B.
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Re: Most serious students are happy students, and most serious [#permalink] New post   13 Nov 2023, 09:52
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Re: Most serious students are happy students, and most serious [#permalink]
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