DS - GMATPrep - Japanese and French Students

Question

Could anyone please explain how to solve this ?

mNeo · Answer

(1) 16 = 1/25 * F => F = 400
Sufficient

(2) 1/10 * 100 = 1/25 * F => F = 250
Sufficient

So each statement is sufficient?

seofah · Answer

AMENDED 

Answer should be "B", right?

If J>=100, F>J?

1) 16 =F n J ------>4% of F F=16*100/4 =400
But we dont know wether F>J INSUFFICIENT

2) 10 % of J also studies F. From question stem, we know that 4% of F also studies J. If the same amount is less percentage of a number (i.e F), it means F>J
SUFFICIENT.

querio · Answer

C)

J>=100; both=0.04*F; F>J?

Stmt 1) 0.04*F=16-> F=400 (we only know that J>= 100) --> Insuff
Stmt 2) 0.1 * J = both -> both >=10 -> F>=250 (we only know that J>= 100) --> Insuff

Stmt 1&2) 16 = 0.1 * J -> J = 160; F=400 SUFF

seofah · Answer

I have amended my previous reply.
it should be B

suniluic · Answer

OA is B. Can you please elaborate further. I think I am still missing something.

hellofriends · Answer

Hi..i Think it should be "B" i.e 2 alone is sufficeint...Here it goes..

4/100 of French = study Japanes ( from Question)

from 1 we know that 16 study both ..from here we can know French i.e 
4/100 of French = 16 gives French...but Japanese are not known...so 1 is not sufficient

from 2 we can get the ratio of Jap & French...so 2 is sufficient ...
i.e. 10/100 of J = 4/100 of F

as we know ratio of J & F we can find what students study more...

so "B" it is

querio · Answer

Indeed, you're absolutely right, it's B. I still cannot understand what did I try to prove in Stmt 2!!

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