Data Sufficiency

In Jefferson School, 300 students study french or spanish or both. If 100 of these students do not study french, how many of these students study both french and spanish?

1. of these 300 students, 60 do not study spanish.
2. a total of 240 of the students study spanish/

qa is d

how i am convicnced that qa is e. USing a double matrix chart it yields no real information. can anyone shed light on this!

Hope this helps

And this should be your double matrix:

And here is the solution:

You can also use an easy formula

G1 + G2 + Neither - Both = Total

Here we do not have Neither.

G1=Spanish
G2= French

S+200 - Both=300
The q/s says 100 are not in French so 200 are

Statement 1
of these 300 students, 60 do not study Spanish

So 240 do study hence sufficient
240+200-B=300

Statement 2
a total of 240 of the students study spanish- sufficient

Ans D

In order to clearly understand the answer to this problem, remember that EVERY student will study at least one language. Therefore, S- & F- has a 0 (zero) value in the matrix.

It took many several minutes to figure it out...

Best wishes!