GMATPrep: Of the 200 members of a certain association

[Venn]

Of the 200 members of a certain association, each member who speaks German also speaks English, and 70 of the members speak only Spanish. If no member speaks all three languages, how many of the members speak two of the 3 languages?

(1) 60 of the members speak only English
(2) 20 of the members do not speak any of the three languages

Is it best to use a Venn Diagram to solve this?

I think I got thrown off by the statement ' each member who speaks German also speaks English' --- I assume that it cannot work in reverse (i.e., that each member who speaks English also speaks Spanish) - correct?

[shaji]

How many speak English & Spanish?

The correct answer is E.

Of the 200 members of a certain association, each member who speaks German also speaks English, and 70 of the members speak only Spanish. If no member speaks all three languages, how many of the members speak two of the 3 languages?

(1) 60 of the members speak only English
(2) 20 of the members do not speak any of the three languages

Is it best to use a Venn Diagram to solve this?

I think I got thrown off by the statement ' each member who speaks German also speaks English' --- I assume that it cannot work in reverse (i.e., that each member who speaks English also speaks Spanish) - correct?

[StaceyKoprince]

Yes use a Venn diagram and yes it doesn't work in reverse. Essentially, it means that nobody speaks ONLY German - so that part of the Venn diagram will have a zero. Try it with the Venn (and with knowing it doesn't work in reverse) and see if you can get it. Come back and let us know if you have new questions.

[Nov1907]

Since we only need to find out the total of how many speak all 3 languages isn't C, the answer?

a = only english
b=only german
c =only spanish
d = S and E
e = S and G
f = G and S
g = all 3.

From initially given information we have: Total = 200. b = 0, g = 0, f = 0 (because if hey spoke german and Spanish they ould also speak english and hence speak 3 languages) and c = 70. Therefore the set up eqn. a+b+c+d+e+f+g= Total - ( people who speak none of the 3 languages) simplifies to:

a+70+d+e= Total - (people who speak none of the 3 languages). We are asked for d+e.

1. Insufficient - We do not know people who speak none of the 3 languages.

2. Insufficient - We do not know a.

1 and 2 - we know a and the term in the parentheses - Hence answer is C. What is the mistake in my reasoning. Or is the answer C ?

[NOV1907]

Sorry edit in the previous post

e = English and German.