NEW HERE? LEARN MORE
closeclose
Last visit was: 28 Apr 2024, 12:37 It is currently 28 Apr 2024, 12:37
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

The equation 5a/2b + 10/3 = 5 is equivalent to each of the following

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92977
Own Kudos [?]: 619695 [0]
Given Kudos: 81613
Send PM
CAT Tests Forum Quiz Mode
The equation 5a/2b + 10/3 = 5 is equivalent to each of the following [#permalink] New post   12 Mar 2024, 01:30
Expert Reply
00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

71% (02:12) correct 29% (01:53) wrong based on 92 sessions
Hide Show timer Statistics
­The equation \(\frac{5a}{2b} + \frac{10}{3} = 5\) is equivalent to each of the following EXCEPT:


A. \(3a = 2b\)

B. \(5a - 2b = \frac{4b}{3}\)

C. \(\frac{5a}{2b} + 1 = \frac{8}{3}\)

D. \(3a + 2b − 1 = 2a + 3b\)

E. \(\frac{a}{2b} = \frac{1}{3}\)


ShowHide Answer
Official Answer
D
User avatar
B
VeeB
Intern
Intern
Joined: 15 Dec 2023
Posts: 29
Own Kudos [?]: 19 [0]
Given Kudos: 46
Location: India
Send PM
Re: The equation 5a/2b + 10/3 = 5 is equivalent to each of the following [#permalink] New post   12 Mar 2024, 01:58
Correct answer is D as all the other options are derivatives of the above equation.

Posted from my mobile device
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4691 [1]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: The equation 5a/2b + 10/3 = 5 is equivalent to each of the following [#permalink] New post   12 Mar 2024, 08:26
1
Kudos
 
Bunuel wrote:
­The equation \(\frac{5a}{2b} + \frac{10}{3} = 5\) is equivalent to each of the following EXCEPT:

A. \(3a = 2b\)

B. \(5a - 2b = \frac{4b}{3}\)

C. \(\frac{5a}{2b} + 1 = \frac{8}{3}\)

D. \(3a + 2b − 1 = 2a + 3b\)

E. \(\frac{a}{2b} = \frac{1}{3}\)

­\(\frac{5a}{2b} + \frac{10}{3} = 5\)

Or, \(\frac{15a+20b}{6b}=5\)­

Or, \(15a + 20b = 30b­\)

Or, \(3a + 4b = 6b\)

Or, \(3a = 2b\)­ ( By a glance we can find A and E must be true)

 ­Check option (B) : \(5a - 2b = \frac{4b}{3}\)

Or, \(15a - 6b = 4b\)

So, \(15a = 10b\) ie, \(3a = 2b\) , Possible.......

 ­Check (C) : \(\frac{5a}{2b} + 1 = \frac{8}{3}\)

Or, \(\frac{5a}{2b} = \frac{8}{3} - 1\)­

Or, \(\frac{5a}{2b} = \frac{5}{3}\)­

So, \(\frac{a}{2b} = \frac{1}{3}\) ie, \(3a = 2b\) , Possible.......

Check (D) : \(3a + 2b − 1 = 2a + 3b\)

Or, \(a - 1 = b\), Not possible, Correct Answer must be (D)
 ­
User avatar
P
poojaarora1818
Director
Director
Joined: 30 Jul 2019
Posts: 876
Own Kudos [?]: 430 [1]
Given Kudos: 1197
Location: India
Concentration: General Management, Economics
Schools: Foster Stern '26 Anderson '26 Kenan-Flagler '26 Haas '26 Kelley '26
WE:Human Resources (Human Resources)
Send PM
CAT Tests
Re: The equation 5a/2b + 10/3 = 5 is equivalent to each of the following [#permalink] New post   12 Mar 2024, 11:53
1
Kudos
The equation \(\frac{5a}{2b} + \frac{10}{3} = 5\) is equivalent to each of the following EXCEPT:


A. \(3a = 2b\)

B. \(5a - 2b = \frac{4b}{3}\)

C. \(\frac{5a}{2b} + 1 = \frac{8}{3}\)

D. \(3a + 2b − 1 = 2a + 3b\)

E. \(\frac{a}{2b} = \frac{1}{3}\)

Let's solve it 
5a/2b + 10/3 = 5
15a  = 10b leads to 3a = 2b

Only option D is not equivalent to 3a = 2b
3a + 2b -1 = 2a + 3b
3a-2a+2b-3b-1 =0
a - b = 1
Hence, option D is the correct one
 
GMAT Club Bot
gmatclubot
Re: The equation 5a/2b + 10/3 = 5 is equivalent to each of the following [#permalink]
12 Mar 2024, 11:53
Moderators:
Bunuel
Math Expert
92977 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions