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German/Spanish/French

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Source: — Data Sufficiency |
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by user123321 » Fri Nov 11, 2011 1:15 pm
rijul007 wrote:Image
IMO D

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by neelgandham » Fri Nov 11, 2011 4:02 pm
From the diagram

Let
a = Number of students who take Only German classes
b = Number of students who take German and French classes
c = Number of students who take Only French classes
d = Number of students who take German and Spanish classes
e = Number of students who take all the three classes
f = Number of students who take French and Spanish classes
g = Number of students who take Only Spanish classes

From the question,

a+b+c+d+e+f+g = 200, e=f=0 and a+b+d+e(=0) = 100. Implies a+(b+d) = 100
Now the rephrased question is What is the value of b+d ?

1)80 of the students study only German.

Implies a = 80. As the value of a+(b+d) = 100, The value of (b+d) = 20.Hence Sufficient!

2)120 students study French Or Spanish

Implies b+c+d+e+f+g = 120.
a+b+c+d+e+f+g = 200.
So, a = 80. As the value of a+(b+d) = 100, the value of (b+d) = 20.Hence Sufficient!

Answer D. PFA the venn diagram.
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