People who can interact in 2 languages?

[gmattesttaker2]

Hello,

Can you please assist with this:

In a group of 25 people, only three languages are spoken - English, Spanish and German. If there is at least one person who speaks all the three languages, how many people can interact with each other in English and German?

1.4 people speak two languages but do not speak Spanish

2.One fifth of the group speaks more than one language.

OA: C


From the Venn diagram, we need e + g = ?

1) e = 4 . We still don't know g. Hence, in-suff.

2) d + e + f + g = 1/5(25)
=> d + e + f + g = 5 . In-suff

1 and 2:
e = 4 and d + e + f + g = 5

It is given that g >=1 . So will this be: d + 4 + f + 1 = 5 => d + f = 0?

I think I am going wrong somewhere. Can you please help?

Thanks a lot.

Regards,
Sri

[theCodeToGMAT]

{C}

[theCodeToGMAT]

It is given that g >=1 . So will this be: d + 4 + f + 1 = 5 => d + f = 0?

Yes, you are correct!