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.
ANSWER IS E CAN SOMEONE PLEASE EXPLAIN?
What percent of the students at Jefferson ....
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- cans
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FS': (not spanish means s' and french means f)
A) 30% F insufficient
B) 40% s' -> 60% S insufficient
A&B) 100% = 30% + 60% - FS (both F and S) + none (some students don't study both)
Thus insufficient
IMO E
A) 30% F insufficient
B) 40% s' -> 60% S insufficient
A&B) 100% = 30% + 60% - FS (both F and S) + none (some students don't study both)
Thus insufficient
IMO E
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Use a Venn diagram to organize the information.factor26 wrote: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.
ANSWER IS E CAN SOMEONE PLEASE EXPLAIN?
Let the total number of students = 100.
Statement 1: Total French = 30.
Statement 2: Since 40 students do NOT study Spanish, the total number of students who DO study Spanish = 60.
When the statements are combined, the following distribution is possible:
Number of students who study only French = 20.
The following distribution also is possible:
Number of students who study only French = 10.
Since the number of students who study only French can be different values, INSUFFICIENT.
The correct answer is E.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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Thank you Guru ... but maybe i'm confused with the response. In the argument, the total number of students is 100, but in the venn diagram examples given the totals add up to a number less than 100 students ... A + B - Both + Neither, correct?