GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Oct 2018, 08:38

# Fuqua EA Calls in Progress:

Join us in the chat | track the decision tracker | See forum posts/summary

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Of 300 members in an organization, each German

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 13 Oct 2016
Posts: 288
GMAT 1: 600 Q44 V28
Of 300 members in an organization, each German  [#permalink]

### Show Tags

17 May 2017, 13:13
2
00:00

Difficulty:

55% (hard)

Question Stats:

57% (01:43) correct 43% (02:31) wrong based on 36 sessions

### HideShow timer Statistics

Of 300 members in an organization, each German speaker also speaks English, and 70 of members only speak Spanish. If no member can speak all 3 languages, how many of the members speak 2 of the 3 languages?

(A) 60 members speak only English.
(B) 20 members do not speak any of the 3 languages.

_________________

_______________________________________________
If you appreciate the post then please click +1Kudos

Director
Affiliations: CrackVerbal
Joined: 03 Oct 2013
Posts: 523
Location: India
GMAT 1: 780 Q51 V46
Of 300 members in an organization, each German  [#permalink]

### Show Tags

17 May 2017, 22:31
1
Top Contributor
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”.

So not sufficient.

Statement II is insufficient:

It gives the value of only “N”.

So not sufficient.

Together it is sufficient

a+b = 150.

Hope this helps.
Attachments

venn-diagram.png [ 9.17 KiB | Viewed 603 times ]

_________________

Of 300 members in an organization, each German &nbs [#permalink] 17 May 2017, 22:31
Display posts from previous: Sort by