It is currently 19 Oct 2017, 09:46

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

There are n consecutive positive integers, what is the value of n?

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

Hide Tags

Intern
Intern
avatar
Joined: 16 Mar 2017
Posts: 14

Kudos [?]: 9 [0], given: 15

There are n consecutive positive integers, what is the value of n? [#permalink]

Show Tags

New post 20 Sep 2017, 00:52
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

60% (00:57) correct 40% (00:51) wrong based on 35 sessions

HideShow timer Statistics

There are n consecutive positive integers, what is the value of n?

1) three numbers are divisible by 3
2) four numbers are divisible by 4
[Reveal] Spoiler: OA

Kudos [?]: 9 [0], given: 15

Expert Post
Magoosh GMAT Instructor
User avatar
G
Joined: 28 Dec 2011
Posts: 4422

Kudos [?]: 8436 [0], given: 102

Re: There are n consecutive positive integers, what is the value of n? [#permalink]

Show Tags

New post 20 Sep 2017, 09:43
petrified17 wrote:
There are n consecutive positive integers, what is the value of n?

1) three numbers are divisible by 3
2) four numbers are divisible by 4

Dear petrified17,

I'm happy to respond. :-)

My friend, I believe something about the way the question is posted here is flawed. I don't know whether there was a copying mistake or whether the flaw is in the source. The problem is that the two DS statements must be consistent with each other. It may be that there is only one numerical possibility or several, but it can't be the case that no numerical value of n can possibly work with both statements. In other words, regardless of whether we can compute the value of n from the statements, it absolutely must be true that the question writer has at least one value of n in mind that consistently works throughout the whole question. This is the deep flaw in this question: as this stands, this is not a valid question.

You see, consider any case of n consecutive numbers in which four numbers are divisible by n. We would have to have four consecutive multiples of 4, which would have a difference of 12 from each other. Say, we go from 32 to 44, which has exactly four numbers divisible by 4 {32, 36, 40, 44}. In that range, we have at least four divisible by 3: {33, 36, 39, 42} and possibly more if we include 45 and/or 30. There is absolutely no way we could have only three numbers divisible by 3 if we have four numbers divisible by four. The two statements, as they stand now, are inconsistent, and this makes the question invalid.

Is it possible that the question was mistyped?

Mike :-)
_________________

Mike McGarry
Magoosh Test Prep

Image

Image

Kudos [?]: 8436 [0], given: 102

Re: There are n consecutive positive integers, what is the value of n?   [#permalink] 20 Sep 2017, 09:43
Display posts from previous: Sort by

There are n consecutive positive integers, what is the value of n?

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


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

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

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®.