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

It is currently 23 Feb 2019, 03:26

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 in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • Free GMAT RC Webinar

     February 23, 2019

     February 23, 2019

     07:00 AM PST

     09:00 AM PST

    Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT
  • FREE Quant Workshop by e-GMAT!

     February 24, 2019

     February 24, 2019

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

In a group of 50 students, 31 are taking French, 17 are taking Spanish

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53066
In a group of 50 students, 31 are taking French, 17 are taking Spanish  [#permalink]

Show Tags

New post 17 Oct 2018, 00:17
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

93% (00:56) correct 7% (00:38) wrong based on 70 sessions

HideShow timer Statistics

In a group of 50 students, 31 are taking French, 17 are taking Spanish, and 10 are taking neither French nor Spanish. How many students are taking both French and Spanish?

A. 4
B. 8
C. 12
D. 14
E. 16

_________________

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

CEO
CEO
User avatar
D
Joined: 11 Sep 2015
Posts: 3447
Location: Canada
In a group of 50 students, 31 are taking French, 17 are taking Spanish  [#permalink]

Show Tags

New post Updated on: 17 Oct 2018, 06:59
Top Contributor
Bunuel wrote:
In a group of 50 students, 31 are taking French, 17 are taking Spanish, and 10 are taking neither French nor Spanish. How many students are taking both French and Spanish?

A. 4
B. 8
C. 12
D. 14
E. 16


Let's use the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it.
Here, we have a population of students, and the two characteristics are:
- taking French or not taking French
- taking Spanish or not taking Spanish

From our given information, we can set up our matrix as follows:
Image

Since there are 50 students altogether, we know that, if 31 are taking French then 19 are NOT taking French
And, if 17 are taking Spanish then 33 are NOT taking Spanish
Image

When we fill in the rest of the matrix we get:
Image

So, there are 8 students taking BOTH French and Spanish

Answer: B

This question type is VERY COMMON on the GMAT, so be sure to master the technique.

To learn more about the Double Matrix Method, watch this video:

_________________

Test confidently with gmatprepnow.com
Image


Originally posted by GMATPrepNow on 17 Oct 2018, 06:05.
Last edited by GMATPrepNow on 17 Oct 2018, 06:59, edited 1 time in total.
Manager
Manager
avatar
G
Joined: 14 Jun 2018
Posts: 223
Re: In a group of 50 students, 31 are taking French, 17 are taking Spanish  [#permalink]

Show Tags

New post 17 Oct 2018, 06:18
F+S - F&S + None = 50

F + S - F&S = 40
F&S = 31+17-40 = 8
VP
VP
User avatar
P
Joined: 31 Oct 2013
Posts: 1162
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: In a group of 50 students, 31 are taking French, 17 are taking Spanish  [#permalink]

Show Tags

New post 17 Oct 2018, 12:28
Bunuel wrote:
In a group of 50 students, 31 are taking French, 17 are taking Spanish, and 10 are taking neither French nor Spanish. How many students are taking both French and Spanish?

A. 4
B. 8
C. 12
D. 14
E. 16



Total : 50

Neither = 10

Students taking either france or spanish = 40.

Total = france + spanish - both + neither

50 = 31 + 17 - both + 10

Both = 58 - 50

Both = 8.

The best answer is B.
Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4972
Location: United States (CA)
Re: In a group of 50 students, 31 are taking French, 17 are taking Spanish  [#permalink]

Show Tags

New post 18 Oct 2018, 17:14
Bunuel wrote:
In a group of 50 students, 31 are taking French, 17 are taking Spanish, and 10 are taking neither French nor Spanish. How many students are taking both French and Spanish?

A. 4
B. 8
C. 12
D. 14
E. 16


We can use the equation:

Total = French + Spanish - both + neither

50 = 31 + 17 - both + 10

50 = 58 - both

Both = 8

Answer: B
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: In a group of 50 students, 31 are taking French, 17 are taking Spanish   [#permalink] 18 Oct 2018, 17:14
Display posts from previous: Sort by

In a group of 50 students, 31 are taking French, 17 are taking Spanish

  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®.