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Challenging overlapping Set problem.........OG2017

Expert replies
by Mo2men » Sat Dec 17, 2016 2:12 am
A small School has three foreign language classes,one in French,one in Spanish,and one in German.How many of the 34 students enrolled in the Spanish class are also enrolled in French class?

(1)There are 27 students enrolled in the French class,and 49 students enrolled in either the French class,the Spanish class,or both of these classes.

(2) One half of the students enrolled in the Spanish class are enrolled in more than one foreign language class.
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Source: — Data Sufficiency |

by GMATGuruNY » Sat Dec 17, 2016 3:35 am
Mo2men wrote:A small School has three foreign language classes,one in French,one in Spanish,and one in German.How many of the 34 students enrolled in the Spanish class are also enrolled in French class?

(1)There are 27 students enrolled in the French class,and 49 students enrolled in either the French class,the Spanish class,or both of these classes.

(2) One half of the students enrolled in the Spanish class are enrolled in more than one foreign language class.
Statement 1:
A total of 49 students take French, Spanish or both
27 students take French
34 students take Spanish (from the prompt)

We can use the following formula:
Total = French + Spanish - Both
Plugging the blue values above into this formula, we get:
49 = 27 + 34 - B
49 = 61 - B
B = 12.
SUFFICIENT.

Statement 2:
Here, 17 students take Spanish and at least one other language.
No way to determine how many of these 17 students study Spanish and French.
INSUFFICIENT.

The correct answer is A.
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