Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

It is currently 26 May 2017, 04:25

TODAY:

INSEAD Jan18 Admission Decisions - Join Us in the Chat for Live Decision Updates


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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

At a certain school with 200 students, all children must

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

Hide Tags

3 KUDOS received
Intern
Intern
avatar
Joined: 26 Jul 2010
Posts: 24
Followers: 0

Kudos [?]: 144 [3] , given: 8

At a certain school with 200 students, all children must [#permalink]

Show Tags

New post 05 Jul 2012, 16:15
3
This post received
KUDOS
6
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

47% (02:40) correct 53% (01:47) wrong based on 175 sessions

HideShow timer Statistics

At a certain school with 200 students, all children must take at least one of three language classes: German, French, and Spanish. If 100 students take German and none of the students who take French also take Spanish, then how many students take exactly two of the three language classes?

(1) 80 of the students study only German.
(2) 120 students study French or Spanish
[Reveal] Spoiler: OA
1 KUDOS received
Intern
Intern
avatar
Joined: 25 Jun 2012
Posts: 7
Followers: 0

Kudos [?]: 7 [1] , given: 0

Re: At a certain school with 200 students, all children must [#permalink]

Show Tags

New post 06 Jul 2012, 15:02
1
This post received
KUDOS
Refer to the pic: G=students taking German; F= students taking French; S= students taking Spanish

According to the problem:
total = 200 students
G=100
students outside G,F,S = 0
F and S have no intersection (as drawn on the pic) -> there are no students taking all 3 classes.

1) 80 students are only G -> G = (only G) + GF + GS, the intersections GF + GS = 20. Sufficient.

2) F + S = 120 (they have no intersection) -> Total = G + F + S - (GF + GS) (compensating for double counting). Everything in that equation is given except the intersections GF+GS which can be determined. Sufficient.
Attachments

pic.pdf [34.77 KiB]
Downloaded 198 times

To download please login or register as a user

2 KUDOS received
Manager
Manager
avatar
Joined: 25 Oct 2013
Posts: 169
Followers: 1

Kudos [?]: 59 [2] , given: 56

Re: At a certain school with 200 students, all children must [#permalink]

Show Tags

New post 31 Jan 2014, 05:51
2
This post received
KUDOS
The key information in the question is none of the students who take French also take Spanish This means there is no overlap between French and Spanish at all. It also means 0 people take all the three languages and 0 people take Spanish and French together.

With this information, exactly two languages can only be {German+french} or {German+Spanish}

Stmt 1: 80 take only German. Given 100 take German. So 100-80 =20 take German+one other language Sufficient.
Stmt2: 120 taken French or spanish. That is {French}+{Spanish} = 120
We can use this formula:

{German}+{French}+{Spanish}-{Exactly two languages}-2*{all the three} = total
100+120-{Exactly two languages}-2*0=200
{Exactly two languages}=220-200 = 20.

Stmt2 is also Sufficient.

Hence D.
_________________

Click on Kudos if you liked the post!

Practice makes Perfect.

Current Student
User avatar
Joined: 06 Sep 2013
Posts: 2005
Concentration: Finance
Followers: 68

Kudos [?]: 643 [0], given: 355

GMAT ToolKit User
Re: At a certain school with 200 students, all children must [#permalink]

Show Tags

New post 15 Apr 2014, 14:40
I would just use two simple venn diagrams for this problem. Let's proceed

Statement 1 tells us that German only is 80. Therefore, since we know that non of the students speak 3 languages or both french and spanish we can infer that German+French and German+Spanish = 20 students. Thus, we have a total of 20 students that speak exactly two languages.

Sufficient

Statement 2, we would have the same diagram knowing that Spanish of French only represent 120 total. Therefore, since we know the grand total is 200 if we add all German + (Spanish or French) we get 220. Now, since our total is 200 and none of them speaks 3 languages them we have that exactly 2 must be equal to 20.

Sufficient

D
1 KUDOS received
VP
VP
User avatar
S
Joined: 18 Sep 2014
Posts: 1207
Location: India
Followers: 43

Kudos [?]: 711 [1] , given: 75

GMAT ToolKit User Premium Member Reviews Badge
Re: At a certain school with 200 students, all children must [#permalink]

Show Tags

New post 27 Jul 2016, 03:44
1
This post received
KUDOS
Attachment:
VennDiagram_900.gif
VennDiagram_900.gif [ 3.96 KiB | Viewed 581 times ]


Attachment:
New Doc.jpg
New Doc.jpg [ 175.03 KiB | Viewed 581 times ]


Thus both the statements give same information and are sufficient.
_________________

The only time you can lose is when you give up. Try hard and you will suceed.
Thanks = Kudos. Kudos are appreciated

http://gmatclub.com/forum/rules-for-posting-in-verbal-gmat-forum-134642.html
When you post a question Pls. Provide its source & TAG your questions
Avoid posting from unreliable sources.


My posts
http://gmatclub.com/forum/beauty-of-coordinate-geometry-213760.html#p1649924
http://gmatclub.com/forum/calling-all-march-april-gmat-takers-who-want-to-cross-213154.html
http://gmatclub.com/forum/possessive-pronouns-200496.html
http://gmatclub.com/forum/double-negatives-206717.html
http://gmatclub.com/forum/the-greatest-integer-function-223595.html#p1721773
https://gmatclub.com/forum/improve-reading-habit-233410.html#p1802265

Re: At a certain school with 200 students, all children must   [#permalink] 27 Jul 2016, 03:44
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic In school V, all students must take at least one of Mathematics, Physi Amby02 2 12 Jan 2017, 22:42
A certain language school has two classes for children. NandishSS 1 27 Jul 2016, 00:51
2 Experts publish their posts in the topic All trainees in a certain aviator training program must take both a wr Bunuel 2 26 Dec 2014, 10:01
4 Experts publish their posts in the topic At a certain school, 100 students are in the marching band. If 40% of Bunuel 4 19 Feb 2015, 15:03
46 Experts publish their posts in the topic A certain high school with a total enrollment of 900 student Bunuel 10 19 Nov 2016, 08:44
Display posts from previous: Sort by

At a certain school with 200 students, all children must

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


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.