GMAT Changed on April 16th - Read about the latest changes here

It is currently 24 Apr 2018, 03:15

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

Of the 60 students in a class, only the students who had obtained Grad

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

Hide Tags

Expert Post
1 KUDOS received
e-GMAT Representative
User avatar
S
Joined: 04 Jan 2015
Posts: 1019
Of the 60 students in a class, only the students who had obtained Grad [#permalink]

Show Tags

New post Updated on: 14 Dec 2016, 00:40
1
This post received
KUDOS
Expert's post
14
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

46% (01:56) correct 54% (02:44) wrong based on 290 sessions

HideShow timer Statistics

Of the 60 students in a class, only the students who had obtained Grade A in Science could apply for a scholarship. Only 1 out of every 5 students who applied for a scholarship got it. If the ratio of the number of students who got the scholarship to the number of students who did not get the scholarship is not more than 1:9, what is the maximum possible number of students who applied for but did not get the scholarship? Assume that all the students who were eligible for the scholarship applied for it.

(A) 6
(B) 12
(C) 24
(D) 30
(E) 54


The Official Answer and the Explanation will be posted on 14th May. Till then, post your solution below and get Kudos for participation. Happy Solving! :-D

This is Question 2 of The e-GMAT Sets Triad

Image
[Reveal] Spoiler: OA

_________________












| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com


Originally posted by EgmatQuantExpert on 13 May 2015, 07:42.
Last edited by EgmatQuantExpert on 14 Dec 2016, 00:40, edited 2 times in total.
Expert Post
1 KUDOS received
e-GMAT Representative
User avatar
S
Joined: 04 Jan 2015
Posts: 1019
Re: Of the 60 students in a class, only the students who had obtained Grad [#permalink]

Show Tags

New post Updated on: 14 May 2015, 23:49
1
This post received
KUDOS
Expert's post
3
This post was
BOOKMARKED
The correct answer is option C

The given information can be tabulated as below:

Image

Given:

\((\frac{Y}{5})/(60- \frac{Y}{5})\) ≤ \(\frac{1}{9}\)

That is, \(\frac{Y}{5}\) ≤ \(\frac{1}{9}*(60- \frac{Y}{5})\)
9Y ≤ 300-Y

Y ≤ 30

So, the maximum possible value of Y = 30
So, the maximum possible value of \(\frac{4Y}{5}\) = 24
_________________












| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com


Originally posted by EgmatQuantExpert on 13 May 2015, 08:06.
Last edited by EgmatQuantExpert on 14 May 2015, 23:49, edited 1 time in total.
3 KUDOS received
Manager
Manager
User avatar
Joined: 20 Jul 2012
Posts: 149
Location: India
WE: Information Technology (Computer Software)
GMAT ToolKit User
Re: Of the 60 students in a class, only the students who had obtained Grad [#permalink]

Show Tags

New post 13 May 2015, 10:27
3
This post received
KUDOS
As per me, answer is 24
Attachments

_2.PNG
_2.PNG [ 4.56 KiB | Viewed 3577 times ]

1 KUDOS received
Intern
Intern
avatar
Joined: 13 May 2015
Posts: 3
Re: Of the 60 students in a class, only the students who had obtained Grad [#permalink]

Show Tags

New post 13 May 2015, 19:14
1
This post received
KUDOS
x students got the scholarship. 5x students applied for it. y students didn't apply. 5x+y=60. find the maximum 4x
x/(4x+y)<=1/9 and y=60-5x
simplify everything x<=6 so 4x<=24
1 KUDOS received
Retired Moderator
User avatar
S
Joined: 18 Sep 2014
Posts: 1183
Location: India
GMAT ToolKit User Premium Member Reviews Badge
Re: Of the 60 students in a class, only the students who had obtained Grad [#permalink]

Show Tags

New post 14 May 2015, 11:43
1
This post received
KUDOS
Attachment:
soln.png
soln.png [ 14.93 KiB | Viewed 3414 times ]

G+a+b+c=60
According to assumption b=0
G+a+c=60
\(\frac{G}{(a+c)} > \frac{1}{9}\)
9G>a+c
10G>60(since a+c+G=60)
G>6
G=7,8,9………
But G=4a {8,12,16………..}
a={2,3,4……….}
Thus 4a+a+c=60
Thus 5a+c=60
Inorder to maximize a we can take values for c as greater than or equal to 0.
Thus maz values of a according to options can be 12.
Option B is the right answer
_________________

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

Expert Post
e-GMAT Representative
User avatar
S
Joined: 04 Jan 2015
Posts: 1019
Re: Of the 60 students in a class, only the students who had obtained Grad [#permalink]

Show Tags

New post 14 May 2015, 23:55
aks456, kql5112, Mechmeera: Good job done with this question! :)

Mechmeera: Kudos for the well-drawn tree structure! The single point where you erred was in the inequality:

\(\frac{G}{(a+c)}>\frac{1}{9}\)

The sign of inequality there should have been ≤. Try solving it again and am sure you would get the right answer! :)

Best Regards

Japinder
_________________












| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

1 KUDOS received
Current Student
User avatar
S
Joined: 28 Nov 2014
Posts: 903
Concentration: Strategy
Schools: Fisher '19 (M)
GPA: 3.71
Reviews Badge
Re: Of the 60 students in a class, only the students who had obtained Grad [#permalink]

Show Tags

New post 14 May 2015, 23:58
1
This post received
KUDOS
1
This post was
BOOKMARKED
Of the 60 students in a class, only the students who had obtained Grade A in Science could apply for a scholarship. Only 1 out of every 5 students who applied for a scholarship got it. If the ratio of the number of students who got the scholarship to the number of students who did not get the scholarship is not more than 1:9, what is the maximum possible number of students who applied for but did not get the scholarship? Assume that all the students who were eligible for the scholarship applied for it.

(A) 6
(B) 12
(C) 24
(D) 30
(E) 54

______________________

I like doing things algebraically :-D . So, I'll try to make some quick equations here.

Total # of students = 60
Let us assume that x students finally got the scholarship. This means that 5x students applied for the scholarship (These are the one's who have got an A grade in Science, smart students :P )
This means that there are 4x students who applied BUT did not got the scholarship, and there are some students who in the first place could not get in A in Science.
Let us assume that the # of students who could not apply be y
This means y =60-5x

And the ratio given in the question is
x/(4x+y) <=1/9
We know that x and y are positives (they are students) so we can cross multiply

And finally on solving we can get x <=4
Or 4x <=24

Therefore, maximum possible value of 4x can be 24

Option C
1 KUDOS received
Retired Moderator
User avatar
S
Joined: 18 Sep 2014
Posts: 1183
Location: India
GMAT ToolKit User Premium Member Reviews Badge
Re: Of the 60 students in a class, only the students who had obtained Grad [#permalink]

Show Tags

New post 15 May 2015, 00:13
1
This post received
KUDOS
EgmatQuantExpert wrote:
aks456, kql5112, Mechmeera: Good job done with this question! :)

Mechmeera: Kudos for the well-drawn tree structure! The single point where you erred was in the inequality:

\(\frac{G}{(a+c)}>\frac{1}{9}\)

The sign of inequality there should have been ≤. Try solving it again and am sure you would get the right answer! :)

Best Regards

Japinder


Yes you are right.
Thank You EgmatQuantExpert for mentioning the point.
\(\frac{G}{a+c}≤\frac{1}{9}\)
9G<a+c
10G<60
\(G\leq{6}\)

And I mistakenly wrote G=4a but actually a=4G
therefore inorder to maximise a value we need to tkae manimum G value which is 6.
Therefore a=4*6=24
C is the answer
_________________

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

Senior Manager
Senior Manager
User avatar
S
Joined: 08 Dec 2015
Posts: 305
GMAT 1: 600 Q44 V27
Reviews Badge
Re: Of the 60 students in a class, only the students who had obtained Grad [#permalink]

Show Tags

New post 14 Feb 2017, 11:55
"A in Science could apply for a scholarship. Only 1 out of every 5 students who applied for a scholarship got it."

Got it what? the grade or the scholarship?
Top Contributor
Retired Moderator
User avatar
S
Joined: 18 Sep 2014
Posts: 1183
Location: India
GMAT ToolKit User Premium Member Reviews Badge
Re: Of the 60 students in a class, only the students who had obtained Grad [#permalink]

Show Tags

New post 14 Feb 2017, 20:15
Top Contributor
iliavko wrote:
"A in Science could apply for a scholarship. Only 1 out of every 5 students who applied for a scholarship got it."

Got it what? the grade or the scholarship?


Of-course Scholarship. Is there anyway to apply for a grade? NO right?
_________________

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

Senior Manager
Senior Manager
User avatar
S
Joined: 08 Dec 2015
Posts: 305
GMAT 1: 600 Q44 V27
Reviews Badge
Re: Of the 60 students in a class, only the students who had obtained Grad [#permalink]

Show Tags

New post 15 Feb 2017, 04:07
I would disagree with the "of course" claim..

This can be read as applied for scholarship and got it (the grade) maybe people applied without having the grade, it would (could) change the problem. Anyways instead of "it" the noun "it" refers to would be better :)
1 KUDOS received
Intern
Intern
avatar
B
Joined: 09 Nov 2015
Posts: 30
Re: Of the 60 students in a class, only the students who had obtained Grad [#permalink]

Show Tags

New post 19 Feb 2017, 01:04
1
This post received
KUDOS
If you apply a bit of logic, the solution to this problem is very simple. The trick is to clearly understand the two conditions given:

(1) "1 out of every 5 students who applied for the scholarship got it".
This means if 5 applied, 1 got it and 4 didn't; if 10 applied, 2 got it and 8 didn't; and so on.
The second take-away is: the greater the number of students who applied for and got the scholarship, the greater the number who applied and didn't. So if we can find the
greatest number of students who could have got the scholarship (subject to the constraint imposed by the 2nd condition), we will have our answer simply by multiplying that number by 4. Which brings us to the 2nd condition:

(2) "The ratio of the number of students who got the scholarship to the number of students who didn't is NOT MORE THAN 1:9".
This means that the greatest number of students who could have got the scholarship is 6 because any number more than that would not be in compliance with the ratio of = to or <1:9 [e.g. if 7 students got the scholarship, 63 students (or more) would have to be unsuccessful in order to comply with the ratio which means the total number of
students would have to be 70 or more].

So, given the above conditions, if the greatest number of students who could have got the scholarship is 6, the maximum number of students who applied for but did not get it must be 6 x 4=24.
Manager
Manager
avatar
B
Joined: 04 May 2014
Posts: 162
Location: India
WE: Sales (Mutual Funds and Brokerage)
Re: Of the 60 students in a class, only the students who had obtained Grad [#permalink]

Show Tags

New post 16 Nov 2017, 23:27
Total student=60
Got Scholarship: Did Not get Scholarship
1:9
or
6:54 (10x=60 or x=60/10=6)

The ratio between
Got scholarship: Applied for scholarship
1:5
ie 6=1/5x or x=30 ie the total students who qualified for the scholarship.
Student who applied and did not get= Total student who applied-student who got the schloarship=30-6=24
Re: Of the 60 students in a class, only the students who had obtained Grad   [#permalink] 16 Nov 2017, 23:27
Display posts from previous: Sort by

Of the 60 students in a class, only the students who had obtained Grad

  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 | 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®.