Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 21 Jul 2019, 21:03

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

If r and s are positive, the value of (2r + 3s)/(r + s) is ?

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

Hide Tags

Find Similar Topics 
Retired Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1234
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
If r and s are positive, the value of (2r + 3s)/(r + s) is ?  [#permalink]

Show Tags

New post 18 Sep 2018, 08:34
3
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

97% (01:11) correct 3% (01:24) wrong based on 63 sessions

HideShow timer Statistics


If r and s are positive, the value of \(\frac{2r+3s}{r+s}\) is ?


A. 0.15
B. Between 0.5 and 1.5
C. Between 2 and 3
D. Between 3 and 3.5
E. Between 3.5 and 5

_________________
Director
Director
avatar
P
Joined: 31 Jul 2017
Posts: 515
Location: Malaysia
Schools: INSEAD Jan '19
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
Re: If r and s are positive, the value of (2r + 3s)/(r + s) is ?  [#permalink]

Show Tags

New post 18 Sep 2018, 08:37
gmatbusters wrote:
If r and s are positive, the value of \(\frac{2r+3s}{r+s}\) is ?
A. 0.15
B. Between 0.5 and 1.5
C. Between 2 and 3
D. Between 3 and 3.5
E. Between 3.5 and 5


The fraction can be written as -

\(2 + \frac{s}{r+s}\).

Hence, C.
_________________
If my Post helps you in Gaining Knowledge, Help me with KUDOS.. !!
CEO
CEO
User avatar
V
Joined: 12 Sep 2015
Posts: 3857
Location: Canada
Re: If r and s are positive, the value of [m][fraction]2r+3s/r+s[/fraction  [#permalink]

Show Tags

New post 18 Sep 2018, 09:02
2
Top Contributor
gmatbusters wrote:
If r and s are positive, the value of \(\frac{2r+3s}{r+s}\) is ?
A. 0.15
B. Between 0.5 and 1.5
C. Between 2 and 3
D. Between 3 and 3.5
E. Between 3.5 and 5


There's a nice (and often-tested) fraction property that says: (x + y)/z = x/z + y/z

Let's see this property in action!

Take: (2r + 3s)/(r + s)
Rewrite numerator as follows: (2r + 2s + s)/(r+s)
Apply above property to get: (2r + 2s)/(r + s) + s/(r + s)
Factor the numerator of first fraction to get: (2(r + s))/(r + s) + s/(r + s)
Simplify first fraction to get: 2 + s/(r + s)
Since r and s are positive, we know that s < r + s
So, s/(r + s) must be a fraction that's less than 1
We get: 2 + some fraction less than 1
In other words, we get: 2.something

Answer: C

RELATED VIDEO FROMM OUR COURSE

_________________
Test confidently with gmatprepnow.com
Image
Retired Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1234
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Re: If r and s are positive, the value of (2r + 3s)/(r + s) is ?  [#permalink]

Show Tags

New post 18 Sep 2018, 22:16
SVP
SVP
User avatar
V
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1687
Location: India
Concentration: International Business, Operations
Schools: INSEAD Jan '19
GPA: 3.01
WE: Engineering (Real Estate)
Reviews Badge
Re: If r and s are positive, the value of (2r + 3s)/(r + s) is ?  [#permalink]

Show Tags

New post 18 Sep 2018, 23:22
gmatbusters wrote:
If r and s are positive, the value of \(\frac{2r+3s}{r+s}\) is ?


A. 0.15
B. Between 0.5 and 1.5
C. Between 2 and 3
D. Between 3 and 3.5
E. Between 3.5 and 5


Take r = 2 and s = 3

\(\frac{2*2 + 3*3}{(2 + 3)}\) = \(\frac{13}{5}\) = \(2.6\)

Take r = 4 and s = 4

\(\frac{2*4 + 3*4}{(4 + 4)}\) = \(\frac{20}{8}\)= \(2.5\)

Take r = 1.5 and s = 1.5

\(\frac{2*1.5 + 3*1.5}{(1.5 + 1.5)} = \frac{7.5}{3} = 2.5\)

Hence C
_________________
"Do not watch clock; Do what it does. KEEP GOING."
VP
VP
User avatar
D
Joined: 31 Oct 2013
Posts: 1393
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If r and s are positive, the value of (2r + 3s)/(r + s) is ?  [#permalink]

Show Tags

New post 17 Jun 2019, 22:05
gmatbusters wrote:
If r and s are positive, the value of \(\frac{2r+3s}{r+s}\) is ?


A. 0.15
B. Between 0.5 and 1.5
C. Between 2 and 3
D. Between 3 and 3.5
E. Between 3.5 and 5



This question is designed to test weighted average method.

Between weight 2 and 3 , 3 is greater integer.

Approximate result will be closer to 3 and greater than 2.

C is the correct answer.
GMAT Club Bot
Re: If r and s are positive, the value of (2r + 3s)/(r + s) is ?   [#permalink] 17 Jun 2019, 22:05
Display posts from previous: Sort by

If r and s are positive, the value of (2r + 3s)/(r + s) is ?

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne