NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 01:57 It is currently 26 Apr 2024, 01:57
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

What is the value of x/3 + y/4?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92929
Own Kudos [?]: 619094 [6]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
What is the value of x/3 + y/4? [#permalink] New post   17 Apr 2017, 00:26
1
Kudos
5
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

71% (01:12) correct 29% (01:19) wrong based on 261 sessions
Hide Show timer Statistics
What is the value of x/3 + y/4?

(1) x/12 + y/12 = 7/12
(2) 4x + 3y = 24
ShowHide Answer
Official Answer
B
avatar
S
Animatzer
Intern
Intern
Joined: 29 Jul 2015
Posts: 9
Own Kudos [?]: 8 [1]
Given Kudos: 233
Location: India
Concentration: Marketing, Strategy
WE:Information Technology (Retail Banking)
Send PM
Re: What is the value of x/3 + y/4? [#permalink] New post   17 Apr 2017, 01:33
1
Bookmarks
Lets consider A) x/12 + y/12 =7/12

In this case there are several values of (x,y) that satisfy the equation such as (1,6),(2,5),(3,4),(4,3),(5,2) and (6,1). If we substitute these value in the main eqn x/3 + y/4 we get different values. therefore this option is ruled out.

Now Consider b)4x+3y=24 . The values that satisfy this eqn are (6,0),(0,8) and (3,4). Once we substitute all the values in the main eqn x/3+y/4 we always get the value as 2.

So B is the answer.
User avatar
L
Mo2men
RSM Erasmus Moderator
Joined: 26 Mar 2013
Posts: 2461
Own Kudos [?]: 1360 [1]
Given Kudos: 641
Concentration: Operations, Strategy
Schools: Erasmus (II)
Send PM
Reviews Badge
Re: What is the value of x/3 + y/4? [#permalink] New post   18 Apr 2017, 04:30
1
Kudos
What is the value of x/3 + y/4?


(1) x/12 + y/12 = 7/12

Multiply the equation in 12

x + y = 7......different numbers that statsfy the equation.

Insufficient

(2) 4x + 3y = 24

Divide the equation by 12

x/3 + y/4 = 2

Sufficient

Answer: B
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6818
Own Kudos [?]: 29936 [3]
Given Kudos: 799
Location: Canada
Send PM
What is the value of x/3 + y/4? [#permalink] New post   Updated on: 28 Dec 2019, 07:36
1
Kudos
2
Bookmarks
Expert Reply
Top Contributor
Bunuel wrote:
What is the value of x/3 + y/4?

(1) x/12 + y/12 = 7/12
(2) 4x + 3y = 24


Target question: What is the value of x/3 + y/4?

This is a good candidate for rephrasing the target question.
Let's take x/3 + y/4 and rewrite it. First we need a common denominator (of 12).
We get: x/3 + y/4 = 4x/12 + 3y/12 = (4x + 3y)/12
So, if we can determine the sum (4x + 3y), then we can answer the target question. So, let's REPHRASE the target question as....
REPHRASED target question: What is the value of 4x + 3y?

Statement 1: x/12 + y/12 = 7/12
Take the equation and multiply both sides by 12 to get: x + y = 7
Is this enough information to answer our rephrased target question?
No.
There are several values of x and y that satisfy the equation x + y = 7. Here are two:
Case a: x = 1 and y = 6, in which case 4x + 3y = 4(1) + 3(6) = 22
Case b: x = 2 and y = 5, in which case 4x + 3y = 4(2) + 3(5) = 23
Since we cannot answer the REPHRASED target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: 4x + 3y = 24
Perfect!! This is exactly what our REPHRASED target question is asking for.
Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT

Answer:
Show Spoiler
B


RELATED VIDEO

Originally posted by BrentGMATPrepNow on 18 Apr 2017, 08:42.
Last edited by BrentGMATPrepNow on 28 Dec 2019, 07:36, edited 1 time in total.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32678
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: What is the value of x/3 + y/4? [#permalink] New post   17 Jan 2024, 04:55
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: What is the value of x/3 + y/4? [#permalink]
17 Jan 2024, 04:55
Moderator:
Bunuel
Math Expert
92922 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