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

It is currently 22 Jan 2019, 09:33

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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winners of the GMAT game show

     January 22, 2019

     January 22, 2019

     10:00 PM PST

     11:00 PM PST

    In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.
  • Key Strategies to Master GMAT SC

     January 26, 2019

     January 26, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

At a certain university, the ratio of undergraduate students with an a

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

Hide Tags

 
Intern
Intern
avatar
G
Joined: 17 Nov 2013
Posts: 39
Reviews Badge
At a certain university, the ratio of undergraduate students with an a  [#permalink]

Show Tags

New post 14 Sep 2018, 23:18
5
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

69% (02:13) correct 31% (01:27) wrong based on 100 sessions

HideShow timer Statistics

At a certain university, the ratio of undergraduate students with an associate’s degree to those without an associate’s degree is 1:3. Additionally, the ratio of graduate students to undergraduate students is 1:5. If all students at the university are either undergraduate or graduate students, what is the ratio of undergraduates without an associate’s degree compared with the entire student body?

A. 1:15
B. 1:5
C. 3:8
D. 5:8
E. 4:5
Manager
Manager
User avatar
G
Joined: 10 May 2018
Posts: 125
Concentration: Finance, Sustainability
Re: At a certain university, the ratio of undergraduate students with an a  [#permalink]

Show Tags

New post 15 Sep 2018, 00:23
Graduates = \(G\)
Undergraduates = \(UG\)
UG With Associates Degree = \(UGA\)
UG Without Associates Degree = \(UGWA\)

Given

\(\frac{UGA}{UGWA} = \frac{1}{3}\)

so, \(UGA=\frac{UGWA}{3}\)--- eq. 1

also given, \(\frac{G}{UG} = \frac{1}{5}\)

logically, \(UGA+UGWA = UG\) --- eq.2

so, \(\frac{G}{UGA+UGWA} = \frac{1}{5}\) --- eq.3

Let \(S = UG+G\) ...all students at the university are either undergraduate or graduate students...

so, \(G=S-UG\)

we can rewrite eq.3 as

\(\frac{(S-UG)}{(UGA+UGWA)} = \frac{1}{5}\)

from eq.2,

\(\frac{(S-UGA-UGWA)}{(UGA+UGWA)} = \frac{1}{5}\)

from eq. 1,

\(\frac{(S-1.333UGWA)}{(1.333UGWA)}\) = \(\frac{1}{5}\)

Divide numerator and denominator by S and separate \(\frac{UGWA}{S}\) from the other terms to reach the answer.

\(\frac{UGWA}{S} = \frac{5}{8}\)


harish1986 wrote:
At a certain university, the ratio of undergraduate students with an associate’s degree to those without an associate’s degree is 1:3. Additionally, the ratio of graduate students to undergraduate students is 1:5. If all students at the university are either undergraduate or graduate students, what is the ratio of undergraduates without an associate’s degree compared with the entire student body?

A. 1:15
B. 1:5
C. 3:8
D. 5:8
E. 4:5

_________________

Stuck in the 600-700 score bracket? I welcome you to read my four-step course of action to a modest score.
I also invite you to critique and help me find flaws in my modus operandi. Thanks!

Intern
Intern
avatar
B
Joined: 24 Jun 2018
Posts: 24
Location: India
Re: At a certain university, the ratio of undergraduate students with an a  [#permalink]

Show Tags

New post 26 Oct 2018, 06:07
I am not able to get the answer.

Ratio of Graduate and Under Graduate= 1:5 - 1x + 5x= 6x
Ratio of Degree Students and Without Degree= 1:3 (which is actually under Graduate, which is 5x of total)
Therefore 1x+3x=4x (5x of total)

Solving by this the answer is coming different.
PLease help
Intern
Intern
avatar
B
Joined: 13 Jan 2018
Posts: 1
Location: Croatia (Hrvatska)
Schools: Bocconi '21
GMAT 1: 680 Q44 V39
WE: Programming (Computer Software)
At a certain university, the ratio of undergraduate students with an a  [#permalink]

Show Tags

New post Updated on: 27 Oct 2018, 09:29
2
UG = undergraduates
G = graduates
A = associates degree
WA = without associates degree
T = total

You can draw a table like this.

_____UG____G____T__
A...|..15...|........|
___|_____|____|_____
WA|..45...|........|
___|_____|____|_____
..T.|..60...|..12...|..72

Sorry for the dots and lines, I can't post images or urls

For the number of undergraduates you can choose a number which is divisible by 4,6 and 5. So if a total number of undergraduates is 60, than the number of undergraduates with associates degree is 15 and the number of undergraduate students without associates degree is 45 (\(\frac{15}{45} = \frac{1}{3}\)). The ratio of graduates and undergraduates is 1/5 and from that you can calculate the number of graduates \(\frac{60}{5} = 12\). At this point you have the number of undergraduates without degree and the total number of students. The final result is \(\frac{45}{(60 + 12)} = \frac{5}{8}\)

Originally posted by shtepa on 26 Oct 2018, 10:30.
Last edited by shtepa on 27 Oct 2018, 09:29, edited 1 time in total.
Intern
Intern
avatar
B
Joined: 24 Jun 2018
Posts: 24
Location: India
Re: At a certain university, the ratio of undergraduate students with an a  [#permalink]

Show Tags

New post 27 Oct 2018, 09:11
shtepa wrote:
UG = undergraduates
G = graduates
A = associates degree
WA = without associates degree
T = total

You can draw a table like this.

_____UG____G____T__
A...|..15...|........|
___|_____|____|_____
WA|..45...|........|
___|_____|____|_____
..T.|..60...|..12...|..72

Sorry for the dots and lines, I can't post images or urls

For the number of Under graduates you can choose a number which is divisible by 4,6 and 5. So if a total number of Under graduates is 60, than the number of undergraduates with associates degree is 15 and the number of grad. students without associates degree is 45 (\(\frac{15}{45} = \frac{1}{3}\)). The ratio of graduates and undergraduates is 1/5 and from that you can calculate the number of graduates \(\frac{60}{5} = 12\). At this point you have the number of undergraduates without degree and the total number of students. The final result is \(\frac{45}{(60 + 12)} = \frac{5}{8}\)


Thanks. It really helped.. i think you missed 'Under' as highlighted... Thanks s much
Manager
Manager
User avatar
B
Joined: 12 Sep 2017
Posts: 64
At a certain university, the ratio of undergraduate students with an a  [#permalink]

Show Tags

New post 18 Jan 2019, 13:59
Here's my answer AashiS :

Plugging values:

Undergraduates are divided into two groups:

Associate’s degree to those without an associate’s degree is 1:3

So x + 3x = 4x; Let the total be 120 because is div by 4.

Hence, 30 + 90 = 120......1)

Graduate students to undergraduate students is 1:5 = x + 5x = 6x.

... 1) x + 120 = 6x

x = 24

Finally, 24 + 120 = 144

Plugging the values:

90/144 = 5/8... 5 : 8.

D
GMAT Club Bot
At a certain university, the ratio of undergraduate students with an a &nbs [#permalink] 18 Jan 2019, 13:59
Display posts from previous: Sort by

At a certain university, the ratio of undergraduate students with an a

  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®.