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

It is currently 13 Dec 2018, 01:31

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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • The winning strategy for 700+ on the GMAT

     December 13, 2018

     December 13, 2018

     08:00 AM PST

     09:00 AM PST

    What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
  • GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

     December 14, 2018

     December 14, 2018

     09:00 AM PST

     10:00 AM PST

    10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.

At a certain school, the ratio of the number of English

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

Hide Tags

Board of Directors
User avatar
P
Joined: 01 Sep 2010
Posts: 3292
At a certain school, the ratio of the number of English  [#permalink]

Show Tags

New post 30 Mar 2013, 08:49
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

82% (02:22) correct 18% (02:23) wrong based on 195 sessions

HideShow timer Statistics

At a certain school, the ratio of the number of English majors to the number of Sociology majors is 5 to 2, and the ratio of the number of Psychology majors to the number of Sociology majors is 3 to 4. If the ratio of the number of History majors to the number of English majors is 5 to 3, what is the ratio of the number of Psychology majors to the number of History majors?

(A) 25 to 3
(B) 10 to 9
(C) 9 to 50
(D) 6 to 25
(E) 3 to 10

_________________

COLLECTION OF QUESTIONS AND RESOURCES
Quant: 1. ALL GMATPrep questions Quant/Verbal 2. Bunuel Signature Collection - The Next Generation 3. Bunuel Signature Collection ALL-IN-ONE WITH SOLUTIONS 4. Veritas Prep Blog PDF Version 5. MGMAT Study Hall Thursdays with Ron Quant Videos
Verbal:1. Verbal question bank and directories by Carcass 2. MGMAT Study Hall Thursdays with Ron Verbal Videos 3. Critical Reasoning_Oldy but goldy question banks 4. Sentence Correction_Oldy but goldy question banks 5. Reading-comprehension_Oldy but goldy question banks

Most Helpful Community Reply
VP
VP
User avatar
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1063
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
GMAT ToolKit User
Re: At a certain school, the ratio of the num  [#permalink]

Show Tags

New post 30 Mar 2013, 08:57
4
1
\(\frac{E}{S} = \frac{5}{2}, \frac{P}{S}=\frac{3}{4}, \frac{H}{E}=\frac{5}{3}\)

\(\frac{P}{H}=?\)

\(\frac{P}{H}=\frac{P}{S}*\frac{S}{E}*\frac{E}{H}\)

\(\frac{P}{H}=\frac{3}{4}*\frac{2}{5}*\frac{3}{5}\)

\(\frac{P}{H}=\frac{9}{50}\)
_________________

It is beyond a doubt that all our knowledge that begins with experience.

Kant , Critique of Pure Reason

Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant

Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]

General Discussion
Board of Directors
User avatar
P
Joined: 01 Sep 2010
Posts: 3292
Re: R: At a certain school, the ratio of the number of English  [#permalink]

Show Tags

New post 31 Mar 2013, 05:36
Intern
Intern
User avatar
Joined: 22 Nov 2012
Posts: 21
Location: United States
GMAT ToolKit User
Re: At a certain school, the ratio of the number of English  [#permalink]

Show Tags

New post 01 Apr 2015, 02:28
2
Zarrolou wrote:
\(\frac{E}{S} = \frac{5}{2}, \frac{P}{S}=\frac{3}{4}, \frac{H}{E}=\frac{5}{3}\)

\(\frac{P}{H}=?\)

\(\frac{P}{H}=\frac{P}{S}*\frac{S}{E}*\frac{E}{H}\)

\(\frac{P}{H}=\frac{3}{4}*\frac{2}{5}*\frac{3}{5}\)

\(\frac{P}{H}=\frac{9}{50}\)


Zarrolou

Can you explain by which rule/reasoning did you multiply the following?
P/H=P/S*S/E*E/H

Thanks in advance!
_________________

GMAT,
It is not finished untill I win!!!

Director
Director
User avatar
Joined: 07 Aug 2011
Posts: 538
Concentration: International Business, Technology
GMAT 1: 630 Q49 V27
GMAT ToolKit User
Re: At a certain school, the ratio of the number of English  [#permalink]

Show Tags

New post 01 Apr 2015, 02:41
carcass wrote:
At a certain school, the ratio of the number of English majors to the number of Sociology majors is 5 to 2, and the ratio of the number of Psychology majors to the number of Sociology majors is 3 to 4. If the ratio of the number of History majors to the number of English majors is 5 to 3, what is the ratio of the number of Psychology majors to the number of History majors?

(A) 25 to 3
(B) 10 to 9
(C) 9 to 50
(D) 6 to 25
(E) 3 to 10



\(\frac{P}{S} * \frac{E}{H}* \frac{S}{E} = \frac{3}{4} * \frac{3}{5} *\frac{2}{5}\)

Answer C
_________________

Thanks,
Lucky

_______________________________________________________
Kindly press the Image to appreciate my post !! :-)

EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13074
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: At a certain school, the ratio of the number of English  [#permalink]

Show Tags

New post 02 Apr 2015, 21:31
Hi All,

This series of 'overlapping' ratios can be dealt with by TESTing VALUES.

We're given the following ratios to work with:

E:S
5:2

P:S
3:4

H:E
5:3

We're asked for the ratio of P:H

Based on the given ratios, we know that E is a multiple of BOTH 3 and 5, so let's TEST E = 15....

IF....
E = 15
Then.....
S = 6
P = 4.5
H = 25

We now have a "grand ratio" that involves all 4 variables. Since we cannot have "half" a Psychology teacher, we can multiply each of these values by 2....this gives us....

E = 30
S = 12
P = 9
H = 50

The question asks for the ratio of the number of Psychology majors to the number of History majors...

P:H
9:50

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!*****

Intern
Intern
avatar
B
Joined: 22 Oct 2017
Posts: 31
Re: At a certain school, the ratio of the number of English  [#permalink]

Show Tags

New post 03 Nov 2017, 06:11
Please, do anybody know how to solve the problem with a ratio box? :(
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2204
Premium Member CAT Tests
At a certain school, the ratio of the number of English  [#permalink]

Show Tags

New post 03 Nov 2017, 10:20
1
Quote:
carcass wrote
At a certain school, the ratio of the number of English majors to the number of Sociology majors is 5 to 2, and the ratio of the number of Psychology majors to the number of Sociology majors is 3 to 4. If the ratio of the number of History majors to the number of English majors is 5 to 3, what is the ratio of the number of Psychology majors to the number of History majors?

(A) 25 to 3
(B) 10 to 9
(C) 9 to 50
(D) 6 to 25
(E) 3 to 10

Dokami wrote:
Please, do anybody know how to solve the problem with a ratio box? :(

Attachment:
ratiotable.png
ratiotable.png [ 17.87 KiB | Viewed 665 times ]

Dokami , I used one. It's quick; a little over a minute

Take it in two stages. Each discipline is represented by its first letter (English = E, etc.)

1) the ratio of the number of English majors to the number of Sociology majors is 5 to 2, and the ratio of the number of Psychology majors to the number of Sociology majors is 3 to 4.

E:S = 5:2 and P:S = 3:4 (watch order here -- you need to switch the latter in the table, Box A)
Sociology is the common term. Put it in the middle.

Box A: has split ratios because common term S has different values in each ratio:
E: S = 5:2, and S:P = 4:3

Box B: the result of multiplying the TOP ROW ONLY by 2 (so that S can = 4 in both ratios)

Box C: Combine into one row. . . .E: S: P = 10: 4: 3

2) The ratio of the number of History majors to the number of English majors is 5 to 3. What is the ratio of the number of Psychology majors to the number of History majors?

H:E=5:3 and what is P:H?
Dump Sociology now. You're not being asked about it.

Bring the numbers for (E:P) down from Box C to Box D

Box D: The common term is E. It goes in the middle.
Split the ratios again because E is not the same.

H:E = 5:3, and E:P = 10:3

This time, to get E to have the same value, LCM of 3 and 10 is 30.
Multiply top row by 10, bottom row by 3.

Box E: the result of multiplying each row by a different factor, so E now = 30

Box F: combined results
H: E: P
50:30:9

Ratio of number of P to H? From Box F
9:50

Answer C

Hope that helps.
Intern
Intern
avatar
B
Joined: 22 Oct 2017
Posts: 31
Re: At a certain school, the ratio of the number of English  [#permalink]

Show Tags

New post 03 Nov 2017, 10:55
Thank you very much genxer 123! :)
I also found a solution. My handwriting is not the best, but I hope you can follow me anyway :)
Attachments

aaaa.jpg
aaaa.jpg [ 3.55 MiB | Viewed 643 times ]

Manager
Manager
User avatar
G
Joined: 07 Jun 2017
Posts: 174
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
GMAT ToolKit User Reviews Badge
Re: At a certain school, the ratio of the number of English  [#permalink]

Show Tags

New post 04 Nov 2017, 01:00
Answer C

3/4*3/5*2/5
_________________

Regards,
Naveen
email: nkmungila@gmail.com
Please press kudos if you like this post

GMAT Club Bot
Re: At a certain school, the ratio of the number of English &nbs [#permalink] 04 Nov 2017, 01:00
Display posts from previous: Sort by

At a certain school, the ratio of the number of English

  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®.