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

It is currently 15 Oct 2018, 18:34

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Intern
Intern
avatar
Status: Waiting for Decisions
Joined: 23 Dec 2012
Posts: 40
Location: India
Sahil: Bansal
GMAT 1: 570 Q49 V20
GMAT 2: 690 Q49 V34
GPA: 3
WE: Information Technology (Computer Software)
GMAT ToolKit User
In a group of 25 people, only three languages are spoken – English, Sp  [#permalink]

Show Tags

New post 21 Aug 2013, 23:27
5
16
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

52% (01:10) correct 48% (00:56) wrong based on 513 sessions

HideShow timer Statistics

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.
Most Helpful Community Reply
Intern
Intern
avatar
Joined: 25 Jul 2012
Posts: 11
Concentration: Finance, Entrepreneurship
GPA: 3.56
Re: In a group of 25 people, only three languages are spoken – English, Sp  [#permalink]

Show Tags

New post 22 Aug 2013, 03:23
7
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.

Answer:C

Hope this helps.

Cheers
General Discussion
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49858
Re: In a group of 25 people, only three languages are spoken – English, Sp  [#permalink]

Show Tags

New post 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.


Please help with this question. I am getting A as answer


Theory on advanced overlapping sets problems: advanced-overlapping-sets-problems-144260.html

Hope it helps.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
Status: Waiting for Decisions
Joined: 23 Dec 2012
Posts: 40
Location: India
Sahil: Bansal
GMAT 1: 570 Q49 V20
GMAT 2: 690 Q49 V34
GPA: 3
WE: Information Technology (Computer Software)
GMAT ToolKit User
Re: In a group of 25 people, only three languages are spoken – English, Sp  [#permalink]

Show Tags

New post 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.

Answer:C

Hope this helps.

Cheers



Thanks....just missed the "at-least"...
Board of Directors
User avatar
P
Joined: 17 Jul 2014
Posts: 2654
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Premium Member Reviews Badge
Re: In a group of 25 people, only three languages are spoken – English, Sp  [#permalink]

Show Tags

New post 16 Feb 2016, 20:23
damn..this question is easier than it appears to be..the solution given above is awesome.
BSchool Forum Moderator
avatar
P
Joined: 05 Jul 2017
Posts: 490
Location: India
GMAT 1: 700 Q49 V36
GPA: 4
CAT Tests
Re: In a group of 25 people, only three languages are spoken – English, Sp  [#permalink]

Show Tags

New post 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?
_________________

My journey From 410 to 700 :-)
Here's my experience when I faced a glitch in my GMAT Exam
Don't do this mistake when you give your GMATPrep Mock!
NEW GMATPrep software analysis by Bunuel

Manager
Manager
User avatar
B
Joined: 24 Jan 2015
Posts: 55
Location: India
Reviews Badge
Re: In a group of 25 people, only three languages are spoken – English, Sp  [#permalink]

Show Tags

New post 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
Manager
Manager
avatar
B
Joined: 24 Sep 2018
Posts: 106
Re: In a group of 25 people, only three languages are spoken – English, Sp  [#permalink]

Show Tags

New post 02 Oct 2018, 11:58
pikolo2510 wrote:
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?


Veritas Prep Solution:

Quote:
Statement (1): The four people who speak two languages other than Spanish must be speaking English and German. However they may not be the only people who can interact with each other in English and German since people who speak all three languages can also interact in English and German. Hence statement (1) alone is not sufficient.


Quote:
Statement (2): One fifth of the group, a total of 5 people, speaks more than one language. Since we do not know how many of them speak English and German, statement (2) alone isn’t sufficient.


Quote:
Using both statements together, we know that 4 people speak English and German only and one speaks all the three languages (since at least one person speaks all the three languages). All others speak only one language or no language. So the number of people who can interact with each other in English and German is 5. Both statements together are sufficient to answer the question.

_________________

Please award :thumbup: kudos, If this post helped you in someway. :student_man:

Intern
Intern
avatar
B
Joined: 04 Apr 2018
Posts: 6
Location: United States
GMAT 1: 690 Q48 V35
GPA: 3.35
CAT Tests
Re: In a group of 25 people, only three languages are spoken – English, Sp  [#permalink]

Show Tags

New post 07 Oct 2018, 14:11
ozhan wrote:

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



Im confused here at your response. if 4 people speak two languages but not Spanish, I think this statement implies E+G speakers only. How can you argue that this statements include E+G+S if the 4 people described here speak 2 languages but not spanish? it says plainly that they dont speak spanish. so imho, i think it is A. Unless I'm wrong.

Bunuel, can you explain please.
DS Forum Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1348
Location: India
Premium Member
Re: In a group of 25 people, only three languages are spoken – English, Sp  [#permalink]

Show Tags

New post 07 Oct 2018, 21:26
1
weiwang922 wrote:
ozhan wrote:

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



Im confused here at your response. if 4 people speak two languages but not Spanish, I think this statement implies E+G speakers only. How can you argue that this statements include E+G+S if the 4 people described here speak 2 languages but not spanish? it says plainly that they dont speak spanish. so imho, i think it is A. Unless I'm wrong.

Bunuel, can you explain please.


Hello

I got your point - I think you have interpreted it correctly that first statement implies 'there are 4 such people who can speak E+G only'. But the question asks 'How many can interact with each other in English and German?' So according to the question, we need to know the number of people who are E+G only, as well as people who are E+G+S all three. From first statement we have E+G only = 4 (as you have interpreted correctly), but we still dont have how many are E+G+S all three.

Hence first statement alone is not sufficient.
Intern
Intern
avatar
B
Joined: 04 Apr 2018
Posts: 6
Location: United States
GMAT 1: 690 Q48 V35
GPA: 3.35
CAT Tests
Re: In a group of 25 people, only three languages are spoken – English, Sp  [#permalink]

Show Tags

New post 08 Oct 2018, 14:05
amanvermagmat wrote:
weiwang922 wrote:
ozhan wrote:

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



Im confused here at your response. if 4 people speak two languages but not Spanish, I think this statement implies E+G speakers only. How can you argue that this statements include E+G+S if the 4 people described here speak 2 languages but not spanish? it says plainly that they dont speak spanish. so imho, i think it is A. Unless I'm wrong.

Bunuel, can you explain please.


Hello

I got your point - I think you have interpreted it correctly that first statement implies 'there are 4 such people who can speak E+G only'. But the question asks 'How many can interact with each other in English and German?' So according to the question, we need to know the number of people who are E+G only, as well as people who are E+G+S all three. From first statement we have E+G only = 4 (as you have interpreted correctly), but we still dont have how many are E+G+S all three.

Hence first statement alone is not sufficient.


ah, I see. this makes so much more sense now.

Thank you.
GMAT Club Bot
Re: In a group of 25 people, only three languages are spoken – English, Sp &nbs [#permalink] 08 Oct 2018, 14:05
Display posts from previous: Sort by

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.