It is currently 18 Dec 2017, 01:13

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

A certain quantity is measured on two different scales,the R

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

Hide Tags

2 KUDOS received
Manager
Manager
User avatar
Status: struggling with GMAT
Joined: 06 Dec 2012
Posts: 199

Kudos [?]: 459 [2], given: 46

Location: Bangladesh
Concentration: Accounting
GMAT Date: 04-06-2013
GPA: 3.65
A certain quantity is measured on two different scales,the R [#permalink]

Show Tags

New post 18 Feb 2013, 11:50
2
This post received
KUDOS
9
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

57% (01:29) correct 43% (01:40) wrong based on 267 sessions

HideShow timer Statistics

A certain quantity is measured on two different scales, the R scale and the S scale, that are related linearly. Measurements on the R scale of 6 and 24 correspond to the measurements on the S scale of 30 and 60 respectively. What measurement on the R scale corresponds to a measurement of 100 on the S scale?

(A) 20
(B) 36
(C) 48
(D) 60
(E) 84
[Reveal] Spoiler: OA

Kudos [?]: 459 [2], given: 46

Expert Post
6 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42669

Kudos [?]: 136009 [6], given: 12723

Re: A certain quantity is measured on two different scales,the R [#permalink]

Show Tags

New post 18 Feb 2013, 12:13
6
This post received
KUDOS
Expert's post
6
This post was
BOOKMARKED
mun23 wrote:
A certain quantity is measured on two different scales, the R scale and the S scale, that are related linearly. Measurements on the R scale of 6 and 24 correspond to the measurements on the S scale of 30 and 60 respectively. What measurement on the R scale corresponds to a measurement of 100 on the S scale?

(A) 20
(B) 36
(C) 48
(D) 60
(E) 84


As R increases by 18 (from 6 to 24), S increases by 30 (from 30 to 60). Thus increase of 18 in R corresponds to increase of 30 in S.

Therefore change of 70 in S from 30 (when R is 6) to 100 must correspond to change of 70/30*18=42 in R. Hence, 100 in S corresponds to 6+42=48 in R.

Answer: C.
_________________

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

Kudos [?]: 136009 [6], given: 12723

Manager
Manager
User avatar
Joined: 04 Oct 2011
Posts: 213

Kudos [?]: 64 [0], given: 44

Location: India
Concentration: Entrepreneurship, International Business
GMAT 1: 440 Q33 V13
GPA: 3
Re: A certain quantity is measured on two different scales,the R [#permalink]

Show Tags

New post 18 Feb 2013, 16:50
Bunuel wrote:
mun23 wrote:
A certain quantity is measured on two different scales, the R scale and the S scale, that are related linearly. Measurements on the R scale of 6 and 24 correspond to the measurements on the S scale of 30 and 60 respectively. What measurement on the R scale corresponds to a measurement of 100 on the S scale?

(A) 20
(B) 36
(C) 48
(D) 60
(E) 84


As R increases by 18 (from 6 to 24), S increases by 30 (from 30 to 60). Thus increase of 18 in R corresponds to increase of 30 in S.

Therefore change of 70 in S from 30 (when R is 6) to 100 must correspond to change of 70/30*18=42 in R. Hence, 100 in S corresponds to 6+42=48 in R.

Answer: C.


Sorry Bunuel, i didnt understand both question and concept of this!
How u moved on with this?
_________________

GMAT - Practice, Patience, Persistence
Kudos if u like :)

Kudos [?]: 64 [0], given: 44

1 KUDOS received
Manager
Manager
User avatar
Joined: 24 Sep 2012
Posts: 89

Kudos [?]: 174 [1], given: 3

Location: United States
Concentration: Entrepreneurship, International Business
GMAT 1: 730 Q50 V39
GPA: 3.2
WE: Education (Education)
Re: A certain quantity is measured on two different scales,the R [#permalink]

Show Tags

New post 18 Feb 2013, 19:13
1
This post received
KUDOS
1
This post was
BOOKMARKED
Consider a line built on R scale.

--------------------------|-----------------------------------|-------------------------------------------
6 24

The increase in value in R scale -=24-6=18 points
Now consider a line built on scale S. For the same increase in value, the increase in S scale is from 30-60 i.e30 points(60-30)

So, we know that an increase of 18 points on R scale corresponds to 30 points on S scale. We need to find our what measurement on R scale corresponds to a value of 100 on S scale.

an increase from 30 to 100 value on S scale= 70 points

R scale S scale
18 point increase= 30 point increase
? = 70 point increase

cross multiply

?=70*18/30=42

Thus, an increase of 70 points on S scale equals an increase of 42 points on R scale. So, the actual value=6+42=48


shanmugamgsn wrote:
Bunuel wrote:
mun23 wrote:
A certain quantity is measured on two different scales, the R scale and the S scale, that are related linearly. Measurements on the R scale of 6 and 24 correspond to the measurements on the S scale of 30 and 60 respectively. What measurement on the R scale corresponds to a measurement of 100 on the S scale?

(A) 20
(B) 36
(C) 48
(D) 60
(E) 84


As R increases by 18 (from 6 to 24), S increases by 30 (from 30 to 60). Thus increase of 18 in R corresponds to increase of 30 in S.

Therefore change of 70 in S from 30 (when R is 6) to 100 must correspond to change of 70/30*18=42 in R. Hence, 100 in S corresponds to 6+42=48 in R.

Answer: C.


Sorry Bunuel, i didnt understand both question and concept of this!
How u moved on with this?

Kudos [?]: 174 [1], given: 3

2 KUDOS received
Intern
Intern
avatar
Joined: 15 Jan 2013
Posts: 38

Kudos [?]: 31 [2], given: 6

Concentration: Finance, Operations
GPA: 4
Re: A certain quantity is measured on two different scales,the R [#permalink]

Show Tags

New post 19 Feb 2013, 09:17
2
This post received
KUDOS
mun23 wrote:
A certain quantity is measured on two different scales, the R scale and the S scale, that are related linearly. Measurements on the R scale of 6 and 24 correspond to the measurements on the S scale of 30 and 60 respectively. What measurement on the R scale corresponds to a measurement of 100 on the S scale?

(A) 20
(B) 36
(C) 48
(D) 60
(E) 84


Since there is a linear relationship between R and S....we can assume R =aS + b (or any other linear equation in terms of R and S)
Now, when R= 6, S= 30....so the equation becomes 6 = 30a + b---(i)
When R = 24, S = 60...so the equation becomes 24 = 60a + b----(ii)
Solving the above two equations we get a = 3/5, b= -12...so the equation becomes R = (3/5)S - 12....now put the value of S =100 in the equation...u'll get the value of R as 48...

Kudos [?]: 31 [2], given: 6

Intern
Intern
avatar
Joined: 30 Apr 2010
Posts: 21

Kudos [?]: 19 [0], given: 2

Re: A certain quantity is measured on two different scales,the R [#permalink]

Show Tags

New post 07 Mar 2013, 21:00
On scale R when we measure 6 and 24 we measure 30 and 60 respectively on scale S. Therefore an increase in 18 on scale R results in an increase of 30 on scale S.

90 on S (60 + 30) is equivalent to 42 (24 + 18) on R. To get 100 on S we add 10, an increase in 10 on S results in an increase of 6 on R (18*10/30).

42 + 6 = 48

Answer C

Kudos [?]: 19 [0], given: 2

Manager
Manager
avatar
Joined: 07 Apr 2014
Posts: 135

Kudos [?]: 33 [0], given: 81

Re: A certain quantity is measured on two different scales,the R [#permalink]

Show Tags

New post 06 Sep 2014, 22:41
mun23 wrote:
A certain quantity is measured on two different scales, the R scale and the S scale, that are related linearly. Measurements on the R scale of 6 and 24 correspond to the measurements on the S scale of 30 and 60 respectively. What measurement on the R scale corresponds to a measurement of 100 on the S scale?

(A) 20
(B) 36
(C) 48
(D) 60
(E) 84



24-6 = 18
60-30=30

18:30 --> 6:10 so for every addition of 6 in R scale there will be 10 in S scale.

Kudos [?]: 33 [0], given: 81

Intern
Intern
avatar
B
Joined: 01 Jun 2013
Posts: 12

Kudos [?]: 2 [0], given: 188

CAT Tests
A certain quantity is measured on two different scales,the R [#permalink]

Show Tags

New post 20 Mar 2017, 10:42
mun23 wrote:
A certain quantity is measured on two different scales, the R scale and the S scale, that are related linearly. Measurements on the R scale of 6 and 24 correspond to the measurements on the S scale of 30 and 60 respectively. What measurement on the R scale corresponds to a measurement of 100 on the S scale?

(A) 20
(B) 36
(C) 48
(D) 60
(E) 84


6 > 24 > x
30 > 60 > 100

Through concept of gradient we can solve in less than 30 seconds.
(24-6)/(60-30)=(x-24)/(100-60)
==>x=48

Kudos [?]: 2 [0], given: 188

Manager
Manager
avatar
B
Joined: 03 May 2014
Posts: 167

Kudos [?]: 17 [0], given: 126

Location: India
WE: Sales (Mutual Funds and Brokerage)
A certain quantity is measured on two different scales,the R [#permalink]

Show Tags

New post 15 Aug 2017, 23:49
when
R increased from 6 to 24 ie an increase of 18 points
Than S increased from 30 to 60 ie 30 points.
There is a relationship between increase in R and than subsequent increase in S.
This relationship can be represented as increase in S/R=30/18=5/3
Which means that for every increase in the point of R their will be 5/3 increase in the points of S.
The question asks if S is 100 than what is R.
S has moved from 60 to 100 a increase of 40 points
When S has increased by 40 than let R increase=X
we now have a relationship X*5/3=40
or X=24
Original R=24. Therefore we have 24+24=48

Kudos [?]: 17 [0], given: 126

A certain quantity is measured on two different scales,the R   [#permalink] 15 Aug 2017, 23:49
Display posts from previous: Sort by

A certain quantity is measured on two different scales,the R

  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®.