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

It is currently 25 Sep 2018, 18:05

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

M22-32

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49496
M22-32  [#permalink]

Show Tags

New post 16 Sep 2014, 01:17
1
5
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

67% (01:15) correct 33% (00:58) wrong based on 139 sessions

HideShow timer Statistics

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49496
Re M22-32  [#permalink]

Show Tags

New post 16 Sep 2014, 01:17
Board of Directors
User avatar
P
Joined: 17 Jul 2014
Posts: 2682
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Premium Member Reviews Badge
Re: M22-32  [#permalink]

Show Tags

New post 06 Dec 2014, 17:19
1
For N! to be divisible by 14, N have a minimum value of 7
1) insufficient, (N+1)! divisible by 15, it might be that N = 14, or N = 5 or more, both of them are divisible by 15
2) insufficient, (N+2)! divisible by 16, it might be that N = 14, or N = 6 or more, 6! is divisible by 16.

1+2 insufficient
Current Student
User avatar
Joined: 12 Aug 2015
Posts: 287
Concentration: General Management, Operations
GMAT 1: 640 Q40 V37
GMAT 2: 650 Q43 V36
GMAT 3: 600 Q47 V27
GPA: 3.3
WE: Management Consulting (Consulting)
Re: M22-32  [#permalink]

Show Tags

New post 16 Jan 2016, 02:12
the question basically asks whether integer n >= 7? the statemenets combined do not give a conslusive answer.
_________________

KUDO me plenty

Current Student
User avatar
Joined: 17 Oct 2015
Posts: 24
Concentration: Technology, Leadership
Re M22-32  [#permalink]

Show Tags

New post 10 Feb 2016, 03:56
I think this is a high-quality question and the explanation isn't clear enough, please elaborate.
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6810
Re: M22-32  [#permalink]

Show Tags

New post 10 Feb 2016, 04:10
1
mestrec wrote:
I think this is a high-quality question and the explanation isn't clear enough, please elaborate.


hi,
I'll try to explain it further to you..


Quote:
If N is a positive integer, is N! divisible by 14 ?


(1) (N+1)! is divisible by 15

(2) (N+2)! is divisible by 16


lets first derive the info from the Q..
is N! div by 14, which is 2*7..
the largest prime number in 14 is 7..

SO , the Q basically asks us if N! is div by 7..
and for that N has to be 7 or >7..

now lets see if any statements gives us this info..
(1) (N+1)! is divisible by 15
here 15 is 3*5, so N can be any value >3..
if 4, 4! is not div by 7, hence 14..
if 8, yes..
so insuff..

(2) (N+2)! is divisible by 16
16 is 2^4..
so 6! will be div by 16 and hence N can take any value from 4 onwards..
same as statement 1 ..
insuff
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Current Student
User avatar
D
Joined: 12 Aug 2015
Posts: 2647
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User Premium Member
Re: M22-32  [#permalink]

Show Tags

New post 09 Mar 2016, 03:16
Intern
Intern
avatar
Joined: 12 May 2018
Posts: 3
Re: M22-32  [#permalink]

Show Tags

New post 05 Jul 2018, 20:29
can you explain me why 6 is divisible by 15? wont it give reminder of 6 when divisible by 15. and same applies with 2nd statement? Please explain it to me ... i am little bit confused.
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6810
Re: M22-32  [#permalink]

Show Tags

New post 05 Jul 2018, 20:37
1
aravsha wrote:
can you explain me why 6 is divisible by 15? wont it give reminder of 6 when divisible by 15. and same applies with 2nd statement? Please explain it to me ... i am little bit confused.


hi
If N =6 N+1 = 7 and (N+1)!=7!=1*2*3*4*5*6*7 so this div by 15
! or factorial means product of all numbers till N
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

GMAT Club Bot
Re: M22-32 &nbs [#permalink] 05 Jul 2018, 20:37
Display posts from previous: Sort by

M22-32

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

Moderators: chetan2u, Bunuel

Events & Promotions

PREV
NEXT


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.