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

It is currently 14 Oct 2019, 06:23

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.

Close

Request Expert Reply

Confirm Cancel

Is the integer r divisible by 3?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Director
Director
avatar
Joined: 01 May 2007
Posts: 682
Is the integer r divisible by 3?  [#permalink]

Show Tags

New post Updated on: 08 Apr 2015, 03:39
11
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

85% (00:45) correct 15% (00:58) wrong based on 212 sessions

HideShow timer Statistics

Is the integer r divisible by 3?

(1) r is the product of 4 consecutive integers.
(2) r < 25

Originally posted by jimmyjamesdonkey on 18 May 2008, 18:21.
Last edited by Bunuel on 08 Apr 2015, 03:39, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to DS forum.
Director
Director
avatar
Joined: 23 Sep 2007
Posts: 630
Re: Is the integer r divisible by 3?  [#permalink]

Show Tags

New post 18 May 2008, 18:36
1
2
jimmyjamesdonkey wrote:
Is the integer r divisible by 3?

1) r is the product of 4 consecutive integers.

2) r < 25


A

1x2x3x4 or 4x5x6x7 or ...
every 4 consecutive integers contains at least 1 number that is divisible by 3

statement 2: r could be 3 or r could be 5
insuff
Director
Director
avatar
Joined: 05 Jan 2008
Posts: 558
Re: Is the integer r divisible by 3?  [#permalink]

Show Tags

New post 18 May 2008, 21:11
A

you atleast have one integer divisible by 3 for every 3 consecutive numbers, the question says 4 consecutive numbers thus A

Stmt-2 does not provide any info thus insufficient
Intern
Intern
avatar
Joined: 14 Mar 2015
Posts: 4
Re: Is the integer r divisible by 3?  [#permalink]

Show Tags

New post 05 May 2015, 17:41
jimmyjamesdonkey wrote:
Is the integer r divisible by 3?

(1) r is the product of 4 consecutive integers.
(2) r < 25



For Statement 1, why couldn't the 4 integers by 0, 1, 2, 3? In which case, r=0.
e-GMAT Representative
User avatar
V
Joined: 04 Jan 2015
Posts: 3074
Re: Is the integer r divisible by 3?  [#permalink]

Show Tags

New post 05 May 2015, 21:26
2
1
metskj127 wrote:
jimmyjamesdonkey wrote:
Is the integer r divisible by 3?

(1) r is the product of 4 consecutive integers.
(2) r < 25



For Statement 1, why couldn't the 4 integers by 0, 1, 2, 3? In which case, r=0.


Hi metskj127,

You are right about the possibility of 4 integers being 0,1,2,3, in which case r = 0. The question statement asks us about r being divisible by 3 i.e. is the remainder 0 when r is divided by 3. If you divide 0 by 3, the remainder is 0.

Thus, even if r = 0, we can say that r is divisible by 3.

The takeaway from this can be " Zero is divisible by any integer i.e. every integer is a divisor of Zero" as zero divided by anything gives the remainder as zero.

Hope its clear!

Regards
Harsh
_________________
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15240
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: Is the integer r divisible by 3?  [#permalink]

Show Tags

New post 07 May 2015, 15:57
1
Hi metskj127,

The GMAT will sometimes test you on concepts that you know, but in ways that you're not used to thinking about (as is the case here).

This specific concept can appear in other ways. When most people think of "multiples", they only think of POSITIVE multiples.

eg. Multiples of 10: 10, 20, 30, 40, etc.

But 10x0 is ALSO a multiple of 10, so the above list should INCLUDE the number 0. Don't be surprised if this exact issue shows up in one of your DS questions on Test Day...

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com
Image


The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
Director
Director
User avatar
G
Joined: 26 Oct 2016
Posts: 615
Location: United States
Concentration: Marketing, International Business
Schools: HBS '19
GMAT 1: 770 Q51 V44
GPA: 4
WE: Education (Education)
Re: Is the integer r divisible by 3?  [#permalink]

Show Tags

New post 26 Jan 2017, 18:46
a) r is the product of 4 consecutive positive integers.

Multiples of 3 are 3,6,9,12...
any set of 4 positive integers will have a multiple of 3.

say 1,2,3,4 has 3
8,9,10,11 has 9(a multiple of 3)

Hence a) alone is sufficient

b) r < 25
It doesn't matter if r is less than 25 or not.


Hence A is the correct choice
_________________
Thanks & Regards,
Anaira Mitch
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13109
Re: Is the integer r divisible by 3?  [#permalink]

Show Tags

New post 17 Apr 2019, 14:36
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
Re: Is the integer r divisible by 3?   [#permalink] 17 Apr 2019, 14:36
Display posts from previous: Sort by

Is the integer r divisible by 3?

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne