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study French than Japanese

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study French than Japanese

by sanju09 » Thu Apr 09, 2009 2:02 am
At least 100 students at a certain high school study Japanese. If 4 percent of the students who study French also study Japanese, do more students at the school study French than Japanese?

(1) 16 students at the school study both French and Japanese.

(2) 10 percent of the students at the school who study Japanese also study French.



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by Feep » Thu Apr 09, 2009 2:40 am
A quick thing to note is that the amount of students who study French that also study Japanese is the same as the amount who study Japanese that also study French. Same thing.

(1) essentially repeats the information given in the problem statement, but with a discrete number of students, not a percentage. This is enough to tell us exactly how many students at the school study French (400), but not much else. Insufficient.

(2) says that 10 percent of the students at the school study both subjects. If the two groups were split evenly, it would be 10 percent of each group that study both subjects, but the problem statement gives 4 percent of those who study French instead of 10. This implies that the French group is larger. Sufficient.

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by sanju09 » Thu Apr 09, 2009 2:49 am
It could not be any better than this smooth explanation for a seemingly complicated DS, by Feep!!
The mind is everything. What you think you become. -Lord Buddha



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