Find all School-related info fast with the new School-Specific MBA Forum

It is currently 10 Feb 2016, 07:30
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Of the students at a certain high school, 90 percent took a

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 24 Nov 2012
Posts: 25
Followers: 0

Kudos [?]: 25 [0], given: 0

Of the students at a certain high school, 90 percent took a [#permalink] New post 02 Dec 2012, 05:53
5
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

61% (03:01) correct 39% (02:38) wrong based on 108 sessions
Of the students at a certain high school, 90 percent took a course in algebra or geometry and 15 percent took courses in both. If the percent of students who took a course in algebra was 2 times the percent of students who took a course in geometry, what percent of the students took a course in algebra but not geometry?

A. 35%
B. 50%
C. 55%
D. 60%
E. 70%
[Reveal] Spoiler: OA

Last edited by ritumaheshwari02 on 02 Dec 2012, 08:08, edited 1 time in total.
1 KUDOS received
BSchool Thread Master
User avatar
Status: Tutor
Joined: 05 Apr 2011
Posts: 542
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 570 Q49 V19
GMAT 2: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Followers: 84

Kudos [?]: 418 [1] , given: 49

Top 10 in overall
Re: Of the students at a certain high school [#permalink] New post 02 Dec 2012, 07:16
1
This post received
KUDOS
Quote:
Of the students at a certain high school, 90 percent took a course in algebra or geometry and 15 percent took courses in both. If the percent of students who took a course in algebra was 2 times the percent of students who took a course in geometry, what percent of the students took a course in algebra but not geometry?

A. 35%
B. 50%
C. 55%
D. 60%
E. 70%


Let the total number of students be 100
A OR G = 90
A AND G = 15
A = 2G
(A OR G) = A + G - (A AND G)
90 = 2G + G - 15
=> 3G = 105
=> G = 35
=> A = 2G = 70

A AND NOTG = A - (A AND G) = 70 - 15 = 55
So, Answer will be C
Hope it helps!
_________________

Ankit
You must Believe

GMAT Quant Tutor
How to start GMAT preparations?
How to Improve Quant Score?
Gmatclub Topic Tags
Check out my GMAT debrief

How to Solve :
Statistics || Reflection of a line || Remainder Problems || Inequalities

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1854
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 31

Kudos [?]: 1358 [0], given: 193

Re: Of the students at a certain high school [#permalink] New post 07 Jun 2013, 01:58
1
This post was
BOOKMARKED
Solved using overlapping sets:
Total No. of students taking algebra = a
Total No. of students taking geometry = g
Students taking both = 15

So from the information above,
Total No. of students taking only algebra = (a-15)
Total No. of students taking only geometry = (g-15)

Total No of students = (a-15) + (g-15) + 15 = 90;
So, a+g = 105
From the condition given, 2g = a, so substituting
a = 70 & Total No. of students taking only algebra = (a-15) = 55 %
Answer = C
_________________

Kindly press "+1 Kudos" to appreciate :)

Current Student
avatar
Joined: 03 Aug 2012
Posts: 915
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
Followers: 19

Kudos [?]: 478 [0], given: 322

Top 10 in overall
Re: Of the students at a certain high school, 90 percent took a [#permalink] New post 17 Aug 2013, 12:07
1
This post was
BOOKMARKED
Attached is the solution:

2X-15+15+X-15=90

3X-15=90

X=35


Hence 2X-15 = 55
Attachments

gasa.JPG
gasa.JPG [ 12.42 KiB | Viewed 1217 times ]


_________________

Rgds,
TGC!
_____________________________________________________________________
I Assisted You => KUDOS Please
_____________________________________________________________________________

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 8208
Followers: 417

Kudos [?]: 111 [0], given: 0

Top 10 in overall
Re: Of the students at a certain high school, 90 percent took a [#permalink] New post 15 Apr 2015, 18:15
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 6229
Location: Pune, India
Followers: 1677

Kudos [?]: 9619 [0], given: 197

Re: Of the students at a certain high school, 90 percent took a [#permalink] New post 16 Apr 2015, 00:02
Expert's post
ritumaheshwari02 wrote:
Of the students at a certain high school, 90 percent took a course in algebra or geometry and 15 percent took courses in both. If the percent of students who took a course in algebra was 2 times the percent of students who took a course in geometry, what percent of the students took a course in algebra but not geometry?

A. 35%
B. 50%
C. 55%
D. 60%
E. 70%


You can also just use the formula
n(A or B) = n(A) + n(B) - n(A and B)
90 = 2X + X - 15
X = 35
2X = 70

This is the number of people who took algebra including those who took both. To get the number of people who took only algebra, 70 - 15 = 55%
Answer (C)
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Re: Of the students at a certain high school, 90 percent took a   [#permalink] 16 Apr 2015, 00:02
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic Of a certain high school graduating class, 75 percent of the students Bunuel 3 16 Nov 2015, 22:30
1 Experts publish their posts in the topic A certain high school has 5,000 students. Of these students, x are Bunuel 7 20 Oct 2015, 02:00
7 A certain high school has 5,000 students. Of these students, x are ske 4 14 Sep 2015, 06:50
3 Experts publish their posts in the topic In a certain accounting class of 90 students 70% of the students took aashu4uiit 4 13 Nov 2014, 05:07
2 If 20 percent of the students at a certain school went to a camping tr dreambeliever 9 20 Mar 2011, 20:13
Display posts from previous: Sort by

Of the students at a certain high school, 90 percent took a

  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®.