Data Sufficiency

Experts pls help !

Filling in the data given in the problem in appropriate regions, the Venn-Diagram can be drawn as shown below.



From the figure above, the question is rephrased as: 'What is the value of A + B?'
Since (A + B) = 200 - (X + Y), all we need is the value of X and Y or their sum to get the value of (A + B).

Statement(1) gives us X, Statement(2) gives us Y.
Upon combining them, we will get (X + Y)

[spoiler](C)[/spoiler] is correct.

krishna239455 wrote:Experts pls help !

Hi!

I can't speak for all the experts here, but when I see a question linked in an image instead of typed in, I usually skip over replying (unless the image contains a diagram, which is a good excuse for attaching one).

The reason why I skip over these posts is because 90% of the time I'm going to quote something from the original question, which is impossible do to from a jpeg.

Ok Staurt, I got it. I will try to type the question rather than insert it as attachment.

Question: Of the 200 members of the 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 three languages?

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

Dear Aneesh

I understood the Venn diagram drawn by you except the overlap between German and Spanish. How did you arrive to the "Zero" figure. How can you apply it without getting this information directly or indirectly.
No where it is implicit that a german does not know spanish or vice versa.

Hi Krishna,

'each member who speaks German also speaks English' - what does this tell us?
It tells us that the region common between German and English holds all the people that speak German. There can be no one who speaks German but not English. The region outside the region that is common to German and English cannot have any German-speaking person.
In other words:
(1) There is no one who speaks only German.
(2) There is no one who speaks German and Spanish but not English.

These two regions become '0'.

After this, the problems tells us that there is no one who speaks all the three languages. So, that region also becomes 0.
This explains the 0s in those three regions of the Venn-Diagram drawn in the previous post.

Please let me know if this helps.

Thanks Aneesh

I understood it.

Basically if there is a german who knows spanish also then he should know all the three languages which violates the rule that nobody speaks all the three languages.