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![[#21] 2 Min. Challenge: Students](https://cdn.gmatclub.com/cdn/files/forum/styles/gmatclub_light/imageset/icon_post_target_unread.svg "[#21] 2 Min. Challenge: Students"){kind=icon}
12 Mar 2004, 20:44
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Note : Just a note for the new guys. 
The Challenge series is intended to challenge guys who already have a medium level of preparation. Please do not be discouraged if you find these problems tough. The idea is to use all your knowledge to solve problems within a reasonable amount of time. Good Luck!
1. Time yourself
2. Solve this on a seperate sheet of paper.
3. The most important - explain your answer and your time please
60 students take French
80 students take German
40 students take Russian
60 students take exactly 2 of the 3 languages mentioned above.
4 students take all 3 of the languages mentioned above.
8 students take none of the 3 languages mentioned above.
How many student do we have in total? In the above group of students, if 12 students take French only, and 25 students take both French and German but not Russian, how many students take Russian only?
The Challenge series is intended to challenge guys who already have a medium level of preparation. Please do not be discouraged if you find these problems tough. The idea is to use all your knowledge to solve problems within a reasonable amount of time. Good Luck!
1. Time yourself
2. Solve this on a seperate sheet of paper.
3. The most important - explain your answer and your time please
60 students take French
80 students take German
40 students take Russian
60 students take exactly 2 of the 3 languages mentioned above.
4 students take all 3 of the languages mentioned above.
8 students take none of the 3 languages mentioned above.
How many student do we have in total? In the above group of students, if 12 students take French only, and 25 students take both French and German but not Russian, how many students take Russian only?
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The Challenge series is intended to challenge guys who already have a medium level of preparation. Please do not be discouraged if you find these problems tough. The idea is to use all your knowledge to solve problems within a reasonable amount of time. Good Luck! 
