Find all School-related info fast with the new School-Specific MBA Forum

It is currently 24 May 2015, 13:30

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If p and q are consecutive positive integers, is p a multiple of 3 ?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Retired Moderator
User avatar
Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
Posts: 1722
Location: Peru
Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
WE 1: Economic research
WE 2: Banking
WE 3: Government: Foreign Trade and SMEs
Followers: 76

Kudos [?]: 445 [0], given: 109

If p and q are consecutive positive integers, is p a multiple of 3 ? [#permalink] New post 13 Dec 2011, 08:51
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

44% (01:21) correct 56% (00:18) wrong based on 18 sessions
If p and q are consecutive positive integers, is p a multiple of 3 ?

(1) \(q\) is not a multiple of 3.
(2) \(q - 1\) is not a multiple of 3.

The question is easy; however, I have a doubt in relation to the number 0. Should we consider 0 a multiple of 3? I think we should because a multiple of an integer is that integer multiplied by other integer. So , if 0 is that other integer, \(3 x 0 = 0\); thereofore, 0 is a multiple of 3. In other words, 0 would be a multiple of every number.

But I don't know whether it is the reasoning of the GMAT. Or, do they consider only positive multiples? In other words, they don't consider 0 "the other integer" to create a multiple. If they think in that way, how is the answer for this question affected?
For example, in statement (2), could \(q\) be 1? In that sense, \(q-1\) would be 0, and if they only consider positive multiples, \(q-1\) would not be a multiple of 3.
I know that the answer to my question is not necessary to solve this problem, but I prefer to solve that doubt for future problems.

Thank you!
[Reveal] Spoiler: OA

_________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can."

My Integrated Reasoning Logbook / Diary: my-ir-logbook-diary-133264.html

GMAT Club Premium Membership - big benefits and savings

Kaplan Promo CodeKnewton GMAT Discount CodesGMAT Pill GMAT Discount Codes
Expert Post
2 KUDOS received
Magoosh Co-Founder
User avatar
Joined: 17 Sep 2011
Posts: 40
Schools: UC Berkeley (Haas) - Class of 2010
Followers: 19

Kudos [?]: 23 [2] , given: 12

Re: If p and q are consecutive positive integers, is p a multiple of 3 ? [#permalink] New post 13 Dec 2011, 09:09
2
This post received
KUDOS
Expert's post
Good question. 0 is a multiple of 3. Negative numbers can also be multiples of 3.
The set of multiples of 3 is {...-9, -6, -3, 0, 3, 6, 9...}

Typically, questions on the GMAT specifically call out positive multiples.
And by rule, questions that ask about Least Common Multiples (LCMs) refer to the least common positive multiples.

I hope that helps!
_________________

Bhavin Parikh
Magoosh Test Prep

Image

Image

Retired Moderator
User avatar
Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
Posts: 1722
Location: Peru
Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
WE 1: Economic research
WE 2: Banking
WE 3: Government: Foreign Trade and SMEs
Followers: 76

Kudos [?]: 445 [0], given: 109

Re: If p and q are consecutive positive integers, is p a multiple of 3 ? [#permalink] New post 13 Dec 2011, 09:19
bhavinp wrote:
Good question. 0 is a multiple of 3. Negative numbers can also be multiples of 3.
The set of multiples of 3 is {...-9, -6, -3, 0, 3, 6, 9...}

Typically, questions on the GMAT specifically call out positive multiples.
And by rule, questions that ask about Least Common Multiples (LCMs) refer to the least common positive multiples.

I hope that helps!


Thank you bhavnip!, kudos for you :-D

So, if this question were in the real exam, I should think that 0 is a multiple of 3, right?
_________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can."

My Integrated Reasoning Logbook / Diary: my-ir-logbook-diary-133264.html

GMAT Club Premium Membership - big benefits and savings

Expert Post
Magoosh Co-Founder
User avatar
Joined: 17 Sep 2011
Posts: 40
Schools: UC Berkeley (Haas) - Class of 2010
Followers: 19

Kudos [?]: 23 [0], given: 12

Re: If p and q are consecutive positive integers, is p a multiple of 3 ? [#permalink] New post 13 Dec 2011, 09:41
Expert's post
No problem! And you are correct. 0 is a multiple of 3.
_________________

Bhavin Parikh
Magoosh Test Prep

Image

Image

Senior Manager
Senior Manager
avatar
Joined: 18 Sep 2009
Posts: 368
Followers: 3

Kudos [?]: 157 [0], given: 2

Re: If p and q are consecutive positive integers, is p a multiple of 3 ? [#permalink] New post 14 Dec 2011, 10:11
can some body explain this with detailed explanation. I know that 2 stmnt alone are insufficient. I am unable to combine both stmnts.
Expert Post
Magoosh Co-Founder
User avatar
Joined: 17 Sep 2011
Posts: 40
Schools: UC Berkeley (Haas) - Class of 2010
Followers: 19

Kudos [?]: 23 [0], given: 12

Re: If p and q are consecutive positive integers, is p a multiple of 3 ? [#permalink] New post 14 Dec 2011, 10:38
Expert's post
Happy to help!

We know that p and q are consecutive positive integers. So p could be q+1 or it could be q-1

From statement 1 we know that q is not a multiple of 3. So we know that either q+1 or q-1 is a multiple of 3, since 1 of every 3 consecutive integers must be a multiple of 3.
Statement 2 tells us that q-1 is not a multiple of 3, so combining this with Statement 1, we now know that q+1 is a multiple of 3. However, we still don't know if p=q+1 or if p=q-1.

So combining both statements is not sufficient.
_________________

Bhavin Parikh
Magoosh Test Prep

Image

Image

Re: If p and q are consecutive positive integers, is p a multiple of 3 ?   [#permalink] 14 Dec 2011, 10:38
    Similar topics Author Replies Last post
Similar
Topics:
5 Experts publish their posts in the topic If p, q, r are a series of three consecutive positive integers, is the Bunuel 6 25 Nov 2014, 07:19
4 If p and q are two consecutive positive integers and pq= 30x subirh 3 11 Oct 2012, 19:26
7 Experts publish their posts in the topic If p and q are consecutive integers, is p a multiple of 3? BN1989 9 01 Mar 2012, 04:47
Are integers P and Q both multiples of 3? (1) PQ (a amitdgr 4 08 Oct 2008, 22:38
M=O+P+Q, where O, P, and Q are consecutive positive integer; rkatl 12 12 Sep 2006, 19:09
Display posts from previous: Sort by

If p and q are consecutive positive integers, is p a multiple of 3 ?

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.