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# In a group of 25 people, only three languages are spoken –

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Intern
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Sahil: Bansal
GMAT 1: 570 Q49 V20
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In a group of 25 people, only three languages are spoken –  [#permalink]

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21 Aug 2013, 23:27
4
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00:00

Difficulty:

75% (hard)

Question Stats:

52% (01:08) correct 48% (00:56) wrong based on 396 sessions

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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.

Intern
Joined: 25 Jul 2012
Posts: 11
Concentration: Finance, Entrepreneurship
GPA: 3.56
Re: In a group of 25 people, only  [#permalink]

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22 Aug 2013, 03:23
6
2
There are 25 people and AT LEAST one of them speaks all three languages.

We are trying to find the people who can interact with each other in English and German. That means these people can either speak English and German or English, German and Spanish.

So we need to find the number of people that fall under these two categories.

Let's look at the remaining information

1) 4 people speak two languages but not Spanish ==> this is enough for the first category( i.e. the people that speak English and German only), but we do not know how many people speak all three languages (the question stem says AT LEAST one person)

INSUFFICIENT

2) One fifth of the group speaks more than one language. ==> let's break this down.

one fifth of the group is 25/5 = 5 people. 5 people speaks more than one language. We do not know how many of these people speak only English and German or all three languages.

INSUFFICIENT.

Now let's look at both informations together.

We know that 4 people speak English and German, and only 5 people speak more than one language(i.e. 2 languages or 3 languages). The information in question stem indicated that there is at least one person who speaks all three languages, but with these information we can definitely say that there is exactly one person who speaks all three languages. Thus determining that 5 people can interact with each other in English and German.

Hope this helps.

Cheers
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Joined: 02 Sep 2009
Posts: 47918
Re: In a group of 25 people, only three languages are spoken –  [#permalink]

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22 Aug 2013, 04:48
1
bsahil wrote:
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.

Hope it helps.
_________________
Intern
Status: Waiting for Decisions
Joined: 23 Dec 2012
Posts: 41
Location: India
Sahil: Bansal
GMAT 1: 570 Q49 V20
GMAT 2: 690 Q49 V34
GPA: 3
WE: Information Technology (Computer Software)
Re: In a group of 25 people, only  [#permalink]

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22 Aug 2013, 10:33
ozhan wrote:
There are 25 people and AT LEAST one of them speaks all three languages.

We are trying to find the people who can interact with each other in English and German. That means these people can either speak English and German or English, German and Spanish.

So we need to find the number of people that fall under these two categories.

Let's look at the remaining information

1) 4 people speak two languages but not Spanish ==> this is enough for the first category( i.e. the people that speak English and German only), but we do not know how many people speak all three languages (the question stem says AT LEAST one person)

INSUFFICIENT

2) One fifth of the group speaks more than one language. ==> let's break this down.

one fifth of the group is 25/5 = 5 people. 5 people speaks more than one language. We do not know how many of these people speak only English and German or all three languages.

INSUFFICIENT.

Now let's look at both informations together.

We know that 4 people speak English and German, and only 5 people speak more than one language(i.e. 2 languages or 3 languages). The information in question stem indicated that there is at least one person who speaks all three languages, but with these information we can definitely say that there is exactly one person who speaks all three languages. Thus determining that 5 people can interact with each other in English and German.

Hope this helps.

Cheers

Thanks....just missed the "at-least"...
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Re: In a group of 25 people, only three languages are spoken –  [#permalink]

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16 Feb 2016, 20:23
damn..this question is easier than it appears to be..the solution given above is awesome.
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GMAT 1: 700 Q49 V36
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Re: In a group of 25 people, only three languages are spoken –  [#permalink]

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24 Sep 2017, 13:02
Hey Bunuel, VeritasPrepKarishma

According to this question, we won't have any person who speaks "English and Spanish" and "Spanish and German". Both are zero - am i right?
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Re: In a group of 25 people, only three languages are spoken –  [#permalink]

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04 Aug 2018, 19:05
Hi All,

Can someone help by applying the overlapping sets formula in the question above?

I just know of the two of them from advance overlapping problems

1) Total= A+B+C - (Sum of 2 group overlaps) +All three+ Neither
2) Total= A+B+C -(Sum of exactly 2 group overlaps)_2(All three) + Neither

Thanks
Re: In a group of 25 people, only three languages are spoken – &nbs [#permalink] 04 Aug 2018, 19:05
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