GMAT Question of the Day - Daily to your Mailbox; hard ones only
close

It is currently 23 Oct 2019, 20:05
Register
GMAT Club Tests
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

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
CLICK HERE TO HIDE/SHOW EVENTS

If r and s are nonzero integers, is r/s an integer ?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
  Sort by Date Sort by Kudos  
Search for:
 
Print view
First unread post
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58464
CAT Tests
Top Member of the Month
If r and s are nonzero integers, is r/s an integer ?  [#permalink]

Show Tags

New post 03 Oct 2018, 03:58
4
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

75% (01:25) correct 25% (02:08) wrong based on 185 sessions

HideShow timer Statistics

If r and s are nonzero integers, is r/s an integer ?

(1) r - 1 = (s + 1)(s - 1)
(2) r - s = 20
Spoiler: OA

_________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL. Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant

Questions' Banks and Collection:
PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Director
Director
avatar
G
Joined: 19 Oct 2013
Posts: 513
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
GMAT ToolKit User
If r and s are nonzero integers, is r/s an integer ?  [#permalink]

Show Tags

New post Updated on: 04 Oct 2018, 13:30
1
Bunuel wrote:
If r and s are nonzero integers, is r/s an integer ?

(1) r - 1 = (s + 1)(s - 1)
(2) r - s = 20



It is basically asking if r is divisible by s, in another words is r a multiple of s?

r - 1 = s^2 - 1
r = s^2

r/s = s^2/s = s which is an integer.

Sufficient

r - s = 20

If r = 25 and s = 5 then yes 25/5 = 5 integer

But if r = 26 and s = 6 we get no 26/6 = 13/3 not integer.

insufficient.

A is the answer choice.

Posted from my mobile device

Originally posted by Salsanousi on 03 Oct 2018, 04:09.
Last edited by Salsanousi on 04 Oct 2018, 13:30, edited 1 time in total.
NUS School Moderator
avatar
V
Joined: 18 Jul 2018
Posts: 1020
Location: India
Concentration: Finance, Marketing
Schools: Cambridge "21, ISB '21, NUS '21, Erasmus '21
WE: Engineering (Energy and Utilities)
Reviews Badge
Re: If r and s are nonzero integers, is r/s an integer ?  [#permalink]

Show Tags

New post 03 Oct 2018, 04:11
1
From statement 1:

r-1 = \(s^2\) - \(1^2\)

r = \(s^2\) or s = +r or -r.

So r/s is an integer.
Sufficient.

From statement 2:
r-s = 20.

Insufficient.

A is the answer.
_________________
Press +1 Kudos If my post helps!
Signature Read More
GMAT Club Bot
Re: If r and s are nonzero integers, is r/s an integer ?   [#permalink] 03 Oct 2018, 04:11
Print view
First unread post
Display posts from previous: Sort by

If r and s are nonzero integers, is r/s an integer ?

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

Moderators: chetan2u, VeritasKarishma, Bunuel, gmatbusters

Search for:





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