Of 300 members in an organization, each German

Hi Kritesh,

The best way to solve this question could be Venn-diagram.

Let’s try to analyze the given information,

1). Each German speaker also speaks English --> So, this means nobody speaks German only.

2). No member speaks all 3 languages --> So, this means all three intersection is none, also both German and Spanish also none (because all German speaker also speaks
English, so if they speak Spanish then it means, they speak all three languages, which is not true according to the given information).

Question: How many of the members speak 2 of the 3 languages?

That is, we have to find the number of people who speak English and Spanish and number of people who speaks German (also English).

You can refer to the below venn-diagram for better clarity. (Please note that, technically(mathematically) it may not be correct to use the below Venn-diagram but remember GMAT is not only math, its more to do with reasoning, it’s okay to use the Venn-diagram here like the below one).

Let “a” be the number of people who speak English and Spanish.

Let “b” be the number of people who speaks German (also English).

Let “c” be the number of people who speaks only English.

So, from the below diagram, a+b+c+N+70 = 300

i.e., a+b+c+N = 230

So, there are four unknowns, we need to know the value of a+b ?

Statement I is insufficient:

It gives the value of only “c”.

Nothing about “N”.

So not sufficient.

Statement II is insufficient:

It gives the value of only “N”.

Nothing about “c”.

So not sufficient.

Together it is sufficient

a+b = 150.

So, the answer is C.

Hope this helps.