A certain quantity is measured on 2 different scales, R scale and S scale that are related linearly. Measurements on R scale of 6 and 24 corresponds to measurements on the S scale of 30 and 60, respectively.what measurement on the R scale corresponds to measurement of 100 on the S scale?
20
36
48
60
84
R and S scale
This topic has expert replies
-
- Master | Next Rank: 500 Posts
- Posts: 137
- Joined: Fri Nov 13, 2015 11:01 am
- Thanked: 1 times
- Followed by:2 members
- GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
Since the relationship between R and S is linear, any pair of points (R,S) must yield the same slope.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 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
Given points are (6,30), and (24,60).
Slope = (S₂ - S�)/(R₂ - R�) = (60-30)/(24-6) = 30/18 = 5/3.
(6,30) and (R,100) must yield the same slope.
(100-30)/(R-6) = 5/3.
70/(R-6) = 5/3.
Cross-mulitplying, we get:
5R-30 = 210.
R = 48.
The correct answer is C.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
-
- Senior | Next Rank: 100 Posts
- Posts: 46
- Joined: Sun Dec 27, 2015 7:03 am
- Thanked: 8 times
- Followed by:1 members
hi,Amrabdelnaby wrote:A certain quantity is measured on 2 different scales, R scale and S scale that are related linearly. Measurements on R scale of 6 and 24 corresponds to measurements on the S scale of 30 and 60, respectively.what measurement on the R scale corresponds to measurement of 100 on the S scale?
20
36
48
60
84
30 on S = 6 on R..
60 on S = 24 on R..
so an inrease of 30 on S = 18 on R...
NOW 100 is 40 more than 60..
so lets check
As increase of 30 on S = 18 on R
increase of 1 on S = 18/30 on R
increase of 40 on S = 18*40/30 or 24 on R..
so the value on R =24+24=48..
C