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

It is currently 23 Jul 2018, 08:49

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

A certain scholarship committee awarded scholarships in the

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

Hide Tags

2 KUDOS received
Manager
Manager
User avatar
Joined: 27 Feb 2010
Posts: 98
Location: Denver
A certain scholarship committee awarded scholarships in the  [#permalink]

Show Tags

New post Updated on: 10 Nov 2012, 04:36
2
8
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

78% (01:42) correct 22% (01:58) wrong based on 445 sessions

HideShow timer Statistics

A certain scholarship committee awarded scholarships in the amounts of $1250, $2500 and $4000. The Committee awarded twice as many $2500 scholarships as $4000 and it awarded three times as many $1250 scholarships as $2500 scholarships. If the total of $37500 was awarded in $1250 scholarships, how many $4000 scholarships were awarded?

A. 5
B. 6
C. 9
D. 10
E. 15

Originally posted by zz0vlb on 24 Apr 2010, 16:07.
Last edited by Bunuel on 10 Nov 2012, 04:36, edited 1 time in total.
Renamed the topic and edited the question.
1 KUDOS received
Manager
Manager
avatar
Joined: 05 Mar 2010
Posts: 182
Re: How many scholarships were awarded?  [#permalink]

Show Tags

New post 25 Apr 2010, 01:17
1
zz0vlb wrote:
A certain scholarship committee awarded scholarships in the amounts of $1250,$2500 and $4000. The Committe awarded twice as many $2500 scholarships as $4000 and it awarded three times as many $1250 scholarships as $2500 scholarships. If the total of $37500 was awarded in $1250 scholarships, how many $4000 scholarships were awarded?

A.5
B.6
C.9
D.10
E.15




This is a ratio question. So first find out the ratio of all three scholarships awarded

$1250 : $2500 : $4000 = 6:2:1
How - let x be the number of scholarships of $4000, then number of scholarship of $2500 will be 2x (twice than the other). then $1250 scholarships will be 6x (thrice of $2500 scholarship)
Ratio 6x:2x:x = 6:2:1

Now $37500 is the total amount of $1250 scholarship. Hence, total 30
If $1250 scholarship are 30 then $4000 scholarship are 5 (divide 30 by 6)

IMO A
_________________

Success is my Destiny

3 KUDOS received
Manager
Manager
avatar
Joined: 27 Dec 2009
Posts: 149
Re: How many scholarships were awarded?  [#permalink]

Show Tags

New post 25 Apr 2010, 01:26
3
$37500/$1250 = 30 Schols...
therefore , 30/3 = 10 Schols for $2500
And, 10/2 = 5 Schols for $4000.

Ans A.
Manager
Manager
User avatar
Joined: 27 Feb 2010
Posts: 98
Location: Denver
Re: How many scholarships were awarded?  [#permalink]

Show Tags

New post 25 Apr 2010, 05:57
Thank you hardnstrong and msand. Its more clear now. +1Kudos to both.
Senior Manager
Senior Manager
avatar
Joined: 12 Jan 2010
Posts: 250
Schools: DukeTuck,Kelogg,Darden
Reviews Badge
Re: How many scholarships were awarded?  [#permalink]

Show Tags

New post 25 Apr 2010, 08:34
Also,

If $4000 were the only scholarships then max number was 9 since 10*4000 = 40000> 37500.

Once you know just work out the problems with option A or B. Just a shortcut to use once u iron out the concepts.
_________________

Run towards the things that make you uncomfortable daily. The greatest risk is not taking risks
http://gmatclub.com/forum/from-690-to-730-q50-v38-97356.html

1 KUDOS received
Intern
Intern
avatar
Joined: 11 Jul 2012
Posts: 41
Re: How many scholarships were awarded?  [#permalink]

Show Tags

New post 09 Nov 2012, 13:13
1
Here is my approach
Let X, Y and Z be numbers of awards for $1250, $2500 and $4000 . (X = 3Y; Y = 2Z ==> X:Y:Z = 1:1/3:1/6
We know from the stem that X = 30 ($37500/$1250). Thus Y = 10 (30/3) and Z = 5 (30/6)
Brother Karamazov
Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47221
Re: A certain scholarship committee awarded scholarships in the  [#permalink]

Show Tags

New post 10 Nov 2012, 04:42
1
1
zz0vlb wrote:
A certain scholarship committee awarded scholarships in the amounts of $1250, $2500 and $4000. The Committee awarded twice as many $2500 scholarships as $4000 and it awarded three times as many $1250 scholarships as $2500 scholarships. If the total of $37500 was awarded in $1250 scholarships, how many $4000 scholarships were awarded?

A. 5
B. 6
C. 9
D. 10
E. 15


Say the number of $4,000 scholarships awarded was x, then the number of $2,500 scholarships awarded would be 2x and the number of $1,250 scholarships awarded would be 6x.

We are given that 6x*1,250=37,500 --> x=5.

Answer: A.
_________________

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

1 KUDOS received
Intern
Intern
avatar
Joined: 22 Jan 2013
Posts: 9
Re: A certain scholarship committee awarded scholarships in the  [#permalink]

Show Tags

New post 26 Feb 2013, 19:19
1
My answer was 180 because I switch numbers in the question then when I did not find 180 I said ok do the opposite, then I got the right answer.

these kind of phrases are killing me
"twice as many $2500 scholarships as $4000"
"three times as many $1250 scholarships as $2500"

which is which .. Can anyone give me the right way of figuring these kind of phrases out very quickly? LOOL
Director
Director
avatar
Joined: 29 Nov 2012
Posts: 817
Re: A certain scholarship committee awarded scholarships in the  [#permalink]

Show Tags

New post 27 Feb 2013, 02:41
aiha85 wrote:
My answer was 180 because I switch numbers in the question then when I did not find 180 I said ok do the opposite, then I got the right answer.

these kind of phrases are killing me
"twice as many $2500 scholarships as $4000"
"three times as many $1250 scholarships as $2500"

which is which .. Can anyone give me the right way of figuring these kind of phrases out very quickly? LOOL


I had the same problem to

Lets assume 1250 as X, 2500 as Y and 4000 as Z

Z=2X Statement 1
Y = 3X Statement 2

Now we get (X + 3x + 2X ) 1250 = 37500

after we solve we get 30/6 = 5 answer A
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Intern
Intern
avatar
Joined: 17 Jan 2014
Posts: 7
Re: A certain scholarship committee awarded scholarships in the  [#permalink]

Show Tags

New post 19 Jan 2014, 01:38
aiha85 wrote:
My answer was 180 because I switch numbers in the question then when I did not find 180 I said ok do the opposite, then I got the right answer.

these kind of phrases are killing me
"twice as many $2500 scholarships as $4000"
"three times as many $1250 scholarships as $2500"

which is which .. Can anyone give me the right way of figuring these kind of phrases out very quickly? LOOL



Yes, I'm also confused with the phrases (twice as many XXX as XXX). Remember we have a very similar question, that is, (see below)

"At a certain college there are twice as many English majors as history majors and three times as many English majors as mathematics majors. What is the ratio of the number of history majors to the number of mathematics majors?" The correct answer is 3:2 (rather than 2:3).

The expression is the same in these TWO questions, but why not the same understanding?

Who can help? Thank you.
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47221
Re: A certain scholarship committee awarded scholarships in the  [#permalink]

Show Tags

New post 19 Jan 2014, 09:34
smallapple wrote:
aiha85 wrote:
My answer was 180 because I switch numbers in the question then when I did not find 180 I said ok do the opposite, then I got the right answer.

these kind of phrases are killing me
"twice as many $2500 scholarships as $4000"
"three times as many $1250 scholarships as $2500"

which is which .. Can anyone give me the right way of figuring these kind of phrases out very quickly? LOOL



Yes, I'm also confused with the phrases (twice as many XXX as XXX). Remember we have a very similar question, that is, (see below)

"At a certain college there are twice as many English majors as history majors and three times as many English majors as mathematics majors. What is the ratio of the number of history majors to the number of mathematics majors?" The correct answer is 3:2 (rather than 2:3).

The expression is the same in these TWO questions, but why not the same understanding?

Who can help? Thank you.


Translation is the same for both questions.

Twice as many $2500 scholarships as $4000 means that if the number of $4000 scholarships was x, then the number of $2500 scholarships was 2x.

Three times as many $1250 scholarships as $2500 scholarships means that if the number of $2500 scholarships was 2x, then the number of $1250 scholarships was 3*(2x)=6x.

As for another question:
At a certain college there are twice as many english majors as history majors and three times as many english majors as mathematics majors. What is the ratio of the number of history majors to the number of mathematics majors?

At a certain college there are twice as many english majors as history majors:
E = 2H (as there are MORE english majors)

and three times as many english majors as mathematics majors:
E = 3M (as there are MORE english majors)

What is the ratio of the number of history majors to the number of mathematics majors?
What is \(\frac{H}{M}\)?

\(H=\frac{E}{2}\), \(M=\frac{E}{3}\) --> \(\frac{H}{M}=\frac{3}{2}\)

This question is discussed here: at-a-certain-college-there-are-twice-as-many-english-majors-85632.html

Does this make sense?
_________________

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

Intern
Intern
avatar
Joined: 17 Jan 2014
Posts: 7
Re: A certain scholarship committee awarded scholarships in the  [#permalink]

Show Tags

New post 20 Jan 2014, 04:54
Bunuel wrote:
smallapple wrote:
aiha85 wrote:
My answer was 180 because I switch numbers in the question then when I did not find 180 I said ok do the opposite, then I got the right answer.

these kind of phrases are killing me
"twice as many $2500 scholarships as $4000"
"three times as many $1250 scholarships as $2500"

which is which .. Can anyone give me the right way of figuring these kind of phrases out very quickly? LOOL



Yes, I'm also confused with the phrases (twice as many XXX as XXX). Remember we have a very similar question, that is, (see below)

"At a certain college there are twice as many English majors as history majors and three times as many English majors as mathematics majors. What is the ratio of the number of history majors to the number of mathematics majors?" The correct answer is 3:2 (rather than 2:3).

The expression is the same in these TWO questions, but why not the same understanding?

Who can help? Thank you.


Translation is the same for both questions.

Twice as many $2500 scholarships as $4000 means that if the number of $4000 scholarships was x, then the number of $2500 scholarships was 2x.

Three times as many $1250 scholarships as $2500 scholarships means that if the number of $2500 scholarships was 2x, then the number of $1250 scholarships was 3*(2x)=6x.

As for another question:
At a certain college there are twice as many english majors as history majors and three times as many english majors as mathematics majors. What is the ratio of the number of history majors to the number of mathematics majors?

At a certain college there are twice as many english majors as history majors:
E = 2H (as there are MORE english majors)

and three times as many english majors as mathematics majors:
E = 3M (as there are MORE english majors)

What is the ratio of the number of history majors to the number of mathematics majors?
What is \(\frac{H}{M}\)?

\(H=\frac{E}{2}\), \(M=\frac{E}{3}\) --> \(\frac{H}{M}=\frac{3}{2}\)


Does this make sense?


Hi Bunuel,

I got it. Your explanation is very clear. Thank you so much! :-D
Expert Post
Senior Manager
Senior Manager
User avatar
Joined: 20 Aug 2015
Posts: 392
Location: India
GMAT 1: 760 Q50 V44
Re: A certain scholarship committee awarded scholarships in the  [#permalink]

Show Tags

New post 08 Dec 2015, 23:40
Quote:
A certain scholarship committee awarded scholarships in the amounts of $1250, $2500 and $4000. The Committee awarded twice as many $2500 scholarships as $4000 and it awarded three times as many $1250 scholarships as $2500 scholarships. If the total of $37500 was awarded in $1250 scholarships, how many $4000 scholarships were awarded?


Since the starting point is given as the $4000 scholarship,
Assume $4000 scholarships to be x
By the given information, $2500 scholarships = 2x
and $1250 scholarships = 6x

Gievn: Total $1250 scholarships = $37500
6x*1250 = 37500
Solve for x = 5
Option A
Expert Post
1 KUDOS received
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12014
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: A certain scholarship committee awarded scholarships in the  [#permalink]

Show Tags

New post 13 Mar 2018, 13:04
1
Hi All,

We're told that there are 3 types of scholarships; I'm going to assign a variable to each type:

A = the number of $1250 scholarships
B = the number of $2500 scholarships
C = the number of $4000 scholarships

From the prompt, we're told that there were twice as many $2500 scholarships as $4000 scholarships. This ratio can be written as…

B:C
2:1

We're also told that the number of $1250 scholarships is three times the number of $2500 scholarships. This ratio can be written as…

A:B
3:1

So, we have…

A:B
3:1
...B:C
...2:1

Combining ratios, we get…

A:B:C
6:2:1

This means that the number of $1250 scholarships is some multiple of 6 and the number of $2500 scholarships is an equivalent multiple of 2.

We're told that the number of $1250 scholarships totaled $37500….

37,500/1250 = 30

Thus, there ere were thirty $1250 scholarships awarded. Using the final ratio, we can deduce that there were ten $2500 scholarships and five $4000 scholarships.

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Expert Post
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2993
Location: United States (CA)
Re: A certain scholarship committee awarded scholarships in the  [#permalink]

Show Tags

New post 15 Mar 2018, 10:15
zz0vlb wrote:
A certain scholarship committee awarded scholarships in the amounts of $1250, $2500 and $4000. The Committee awarded twice as many $2500 scholarships as $4000 and it awarded three times as many $1250 scholarships as $2500 scholarships. If the total of $37500 was awarded in $1250 scholarships, how many $4000 scholarships were awarded?

A. 5
B. 6
C. 9
D. 10
E. 15


We can let the number of $1250 scholarships = a, the number of $2500 scholarships = b, and the number of $4000 scholarships = c.

Since the committee awarded twice as many $2500 scholarships as $4000 scholarships:

b = 2c

Since it awarded three times as many $1250 scholarships as $2500 scholarships:

a = 3b

Since b = 2c, we see that a = 3(2c) = 6c.

Since a total of $37500 was awarded in $1250 scholarships:

1250a = 37,500

a = 30

Since a = 6c, we see that c = a/6 = 30/6 = 5.

Answer: A
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Re: A certain scholarship committee awarded scholarships in the &nbs [#permalink] 15 Mar 2018, 10:15
Display posts from previous: Sort by

A certain scholarship committee awarded scholarships in the

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

Events & Promotions

PREV
NEXT


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®.