It is currently 13 Dec 2017, 14:55

Decision(s) Day!:

CHAT Rooms | Ross R1 | Kellogg R1 | Darden R1 | Tepper R1


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

If 11!/(11-r)!<1,000, what is the greatest possible value of r? A. 1 B

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

Hide Tags

Expert Post
Math Revolution GMAT Instructor
User avatar
P
Joined: 16 Aug 2015
Posts: 4467

Kudos [?]: 3146 [0], given: 0

GPA: 3.82
Premium Member
If 11!/(11-r)!<1,000, what is the greatest possible value of r? A. 1 B [#permalink]

Show Tags

New post 22 Aug 2017, 00:23
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

67% (01:02) correct 33% (01:01) wrong based on 63 sessions

HideShow timer Statistics

If 11!/(11-r)!<1,000, what is the greatest possible value of r?

A. 1
B. 2
C. 3
D. 4
E. 5
[Reveal] Spoiler: OA

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Kudos [?]: 3146 [0], given: 0

Expert Post
Math Expert
User avatar
D
Joined: 02 Aug 2009
Posts: 5345

Kudos [?]: 6117 [0], given: 121

Re: If 11!/(11-r)!<1,000, what is the greatest possible value of r? A. 1 B [#permalink]

Show Tags

New post 22 Aug 2017, 01:44
MathRevolution wrote:
If 11!/(11-r)!<1,000, what is the greatest possible value of r?

A. 1
B. 2
C. 3
D. 4
E. 5


\(\frac{11!}{(11-r)!}<1000......11*10*(11-r+1)=11*10*9=990<1000\)
So 11-r+1=9...12-9=R=3
C
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 6117 [0], given: 121

Manager
Manager
User avatar
S
Joined: 27 Dec 2016
Posts: 196

Kudos [?]: 49 [0], given: 222

Concentration: Social Entrepreneurship, Nonprofit
GPA: 3.65
WE: Sales (Consumer Products)
Premium Member CAT Tests
Re: If 11!/(11-r)!<1,000, what is the greatest possible value of r? A. 1 B [#permalink]

Show Tags

New post 22 Aug 2017, 03:27
MathRevolution wrote:
If 11!/(11-r)!<1,000, what is the greatest possible value of r?

A. 1
B. 2
C. 3
D. 4
E. 5


- We start to calculate the number of 11! from the beginning.

- 11 X 10 = 110 ~ 110 still < 1.000
- 11 X 10 X 9 = 990 ~ 990 still < 1.000
- 11 X 10 X 9 X 8 = clearly > 1.000

- So we must eliminate 8! with the right denominator. 11-X = 8, so X = 3.

C.
_________________

There's an app for that - Steve Jobs.

Kudos [?]: 49 [0], given: 222

Expert Post
Math Revolution GMAT Instructor
User avatar
P
Joined: 16 Aug 2015
Posts: 4467

Kudos [?]: 3146 [0], given: 0

GPA: 3.82
Premium Member
Re: If 11!/(11-r)!<1,000, what is the greatest possible value of r? A. 1 B [#permalink]

Show Tags

New post 24 Aug 2017, 00:29
=> 11! / (11-r)! = 11*(11-1)*…*(11-r+1)

r = 1 : 11 < 1,000
r = 2 : 11*10 = 110 < 1,000
r = 3 : 11*10*9 = 990 < 1,000
r = 4 : 11*10*9*8 = 7290 > 1,000

r = 3

Ans: C
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Kudos [?]: 3146 [0], given: 0

Re: If 11!/(11-r)!<1,000, what is the greatest possible value of r? A. 1 B   [#permalink] 24 Aug 2017, 00:29
Display posts from previous: Sort by

If 11!/(11-r)!<1,000, what is the greatest possible value of r? A. 1 B

  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®.