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spanish or french

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Source: — Data Sufficiency |
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by kvcpk » Fri Jul 09, 2010 10:48 pm
P(F) is only french
P(S) is only Spanish

P(F)+P(S)+P(F and S) = 300
P(S) =100

P (F and S) =?

first statement:
P(S) + P(F and S) = 240
Also, We know that P(S)=100
Hence, P(F and S) = 140
SUFFICIENT

Second Statement:
P(S)+P(F and S) = 240
Same equation as above.
Hence Sufficient.

pick D
Last edited by kvcpk on Sat Jul 10, 2010 12:17 am, edited 1 time in total.
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by Rahul@gurome » Fri Jul 09, 2010 11:54 pm
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Let f students study French only and b study both French and Spanish.

(1) Students who study French only = 60
We are given that students who study Spanish only = 100
Total students = 300
Therefore, 300 = f + b + 100 implies 300 = 60 + b + 100 implies b = 300 - 160 = 140

So, (1) is SUFFICIENT.

(2) Given b + 100 = 240 implies b = 240 - 100 = 140
So, (2) is SUFFICIENT.

The correct answer is (D).
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by outreach » Sat Jul 10, 2010 5:59 am
D
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