by: WA
6 mins
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
56% (01:20) correct
44%
(01:45)
wrong
based on 183
sessions
History
Date
Time
Result
Not Attempted Yet
Is the positive integer r a multiple of the positive integer s?
(1) r + 2s is a multiple of s.
(2) 2r + s is a multiple of s.
_________________
(1) r + 2s is a multiple of s.
(2) 2r + s is a multiple of s.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
• Tests: GMAT Club Tests | Forum Quiz
• Guides: Quantitative | Critical Reasoning | Reading Comprehension | Ultimate Quant Guide | All You Need for Quant
• Rules: Quantitative | Verbal
Kinshook
Major Poster
Joined: 03 Jun 2019
Last visit: 10 Sep 2026
Posts: 6,128
Location: India
Schools: HBS '28 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
Bunuel
Q:Is the positive integer r a multiple of the positive integer s?
#1: r + 2s is a multiple of s.
Since 2s is a multiple of s => r is a multiple of s
SUFFICIENT
#2: 2r + s is a multiple of s.
Since s is a multiple of s => 2r is a multiple of s
Take for example 24(2*12) is a multiple of 24 but 12 is not a multiple of 24.
It is not necessary that r is a multiple of s
NOT SUFFICIENT.
IMO A
Posts: 5
Kinshook
Did you say 12 is not a multiple of 24?? How come it isn't?
Using 1 only
\((r+2s)/s\) should be an integer
this can only be possible if \(r/s\) is an integer. Hence r is a multiple of the positive integer s. Remove C and E.
Using 2 only
\((2r+s)/s\) should be an integer
this can be possible even if \(2r/s\) even if \(r=3 and s=2\) or if r is a multiple of the positive integer s. Insufficient.
Answer is A
\((r+2s)/s\) should be an integer
this can only be possible if \(r/s\) is an integer. Hence r is a multiple of the positive integer s. Remove C and E.
Using 2 only
\((2r+s)/s\) should be an integer
this can be possible even if \(2r/s\) even if \(r=3 and s=2\) or if r is a multiple of the positive integer s. Insufficient.
Answer is A
MariemeDieng
Multiples of 24 are 24,48,72 etc.. 24 is a multiple of 12 but 12 is not a multiple of 24
Posted from my mobile device
auradediligodo
Joined: 31 Jan 2019
Last visit: 18 Nov 2021
Posts: 356
Location: Switzerland
Concentration: General Management
GPA: 3.9
Posts: 356
Hi everyone,
Is the positive integer r a multiple of the positive integer s?
(1) r + 2s is a multiple of s.
Can be written as: r+2s=sk where k is a positive integer
r=sk-2s=s*(k-2)
Since k-2 is an integer r is a multiple of s
Statement 1 is sufficient
(2) 2r + s is a multiple of s.
Can be written as 2r+s=ks where k is a positive integer
r=s*(k-s)/2
Now r is a multiple of s if s or (k-s) can be divided by 2.
Since we cannot verify this information statement 2 is insufficient.
Statement a only is sufficient to answer this question
Is the positive integer r a multiple of the positive integer s?
(1) r + 2s is a multiple of s.
Can be written as: r+2s=sk where k is a positive integer
r=sk-2s=s*(k-2)
Since k-2 is an integer r is a multiple of s
Statement 1 is sufficient
(2) 2r + s is a multiple of s.
Can be written as 2r+s=ks where k is a positive integer
r=s*(k-s)/2
Now r is a multiple of s if s or (k-s) can be divided by 2.
Since we cannot verify this information statement 2 is insufficient.
Statement a only is sufficient to answer this question
Automated notice from GMAT Club BumpBot:
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
_________________
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
_________________
Moderator:
Announcements
Tuck at Dartmouth
AI at Dartmouth Tuck: How the School Is Preparing Leaders for the Age of Artificial Intelligence
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Top 5 GMAT Debrief Videos
Success stories and strategies from high-scoring candidates.