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

 It is currently 31 Aug 2015, 02:02

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:
Moderator
Joined: 01 Sep 2010
Posts: 2653
Followers: 511

Kudos [?]: 3940 [0], given: 727

At a certain school, the ratio of the number of English [#permalink]  30 Mar 2013, 08:49
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

83% (02:43) correct 17% (01:33) wrong based on 96 sessions
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
[Reveal] Spoiler: OA

_________________
VP
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1125
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Followers: 149

Kudos [?]: 1481 [4] , given: 219

Re: At a certain school, the ratio of the num [#permalink]  30 Mar 2013, 08:57
4
KUDOS
$$\frac{E}{S} = \frac{5}{2}, \frac{P}{S}=\frac{3}{4}, \frac{H}{E}=\frac{5}{3}$$

$$\frac{P}{H}=?$$

$$\frac{P}{H}=\frac{P}{S}*\frac{S}{E}*\frac{E}{H}$$

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

$$\frac{P}{H}=\frac{9}{50}$$
_________________

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]

Moderator
Joined: 01 Sep 2010
Posts: 2653
Followers: 511

Kudos [?]: 3940 [0], given: 727

Re: R: At a certain school, the ratio of the number of English [#permalink]  31 Mar 2013, 05:36
Expert's post
Correct

Nexus 4 with Tapatalk
_________________
Intern
Joined: 22 Nov 2012
Posts: 10
GMAT Date: 11-14-2013
GPA: 3.5
Followers: 0

Kudos [?]: 0 [0], given: 84

Re: At a certain school, the ratio of the number of English [#permalink]  01 Apr 2015, 02:28
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

_________________

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

Director
Joined: 07 Aug 2011
Posts: 588
GMAT 1: 630 Q49 V27
Followers: 2

Kudos [?]: 237 [0], given: 75

Re: At a certain school, the ratio of the number of English [#permalink]  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

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

_________________

Thanks,
Lucky

_______________________________________________________
Kindly press the to appreciate my post !!

EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 3459
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 148

Kudos [?]: 931 [0], given: 57

Re: At a certain school, the ratio of the number of English [#permalink]  02 Apr 2015, 21:31
Expert's post
1
This post was
BOOKMARKED
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

[Reveal] Spoiler:
C

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

Re: At a certain school, the ratio of the number of English   [#permalink] 02 Apr 2015, 21:31
Similar topics Replies Last post
Similar
Topics:
18 In a certain district, the ratio of the number of registered 18 12 Dec 2012, 03:38
20 At a certain school, the ratio of the number of second grade 13 27 Feb 2012, 09:02
3 At a certain university, the ratio of the number of teaching 6 24 Oct 2010, 16:57
23 At a Certain school, the ratio of the number of second 17 16 Jul 2009, 10:59
13 At a certain university, the ratio of the number of teaching 12 04 Jun 2009, 20:11
Display posts from previous: Sort by