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thinktank
What percent of the students at Jefferson High School study French but not Spanish?

(1) 30% of all students at Jefferson High School study French.
(2) 40% of all students at Jefferson High School do not study Spanish.

Hi,

Let us assume there are 100 students then, we have

Total= No. of students that study French (F) + No. of Students that study (S) - no. of students that study both (B) + Neither (N)

Thus we have

100= F+S-B+N
St 1 gives us F only so not sufficient

So, Option A and D ruled out

St 2 ----> F+ N = 40

Alone not sufficient, so B ruled out

Combining we get S-B = 60, We still cannot find out S and B therefore insufficent and hence ans E

Thanks
Mridul

During GMAT time under time constraint , if we go by the simple logical question of - no information given about the possibility of a student studying either language , wont this itself give the option 'E'
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WoundedTiger
thinktank
What percent of the students at Jefferson High School study French but not Spanish?

(1) 30% of all students at Jefferson High School study French.
(2) 40% of all students at Jefferson High School do not study Spanish.

Hi,

Let us assume there are 100 students then, we have

Total= No. of students that study French (F) + No. of Students that study (S) - no. of students that study both (B) + Neither (N)

Thus we have

100= F+S-B+N
St 1 gives us F only so not sufficient

So, Option A and D ruled out

St 2 ----> F+ N = 40

Alone not sufficient, so B ruled out

Combining we get S-B = 60, We still cannot find out S and B therefore insufficent and hence ans E

During GMAT time under time constraint , if we go by the simple logical question of - no information given about the possibility of a student studying either language , wont this itself give the option 'E'


Well...under time constraint and depending upon on which question no. I would mark C or E and move on

I am bit old school and hence find it easier to put information on paper and avoid silly mistakes

Posted from my mobile device
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What percent of the students at Jefferson High School study French but not Spanish?

(1) 30% of all students at Jefferson High School study French.
(2) 40% of all students at Jefferson High School do not study Spanish.

Another reason, why the answer is E is, we don't know from either of the choices that what percent of students don't study any of the two languages at all.
Bunuel - Please correct me if I am wrong.
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thinktank
What percent of the students at Jefferson High School study French but not Spanish?

(1) 30% of all students at Jefferson High School study French.
(2) 40% of all students at Jefferson High School do not study Spanish.

Another reason, why the answer is E is, we don't know from either of the choices that what percent of students don't study any of the two languages at all.
Bunuel - Please correct me if I am wrong.


Yes, you are right. If we knew what percent of all students does not study any of the two languages we would be able to answer the question.
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