Last visit was: 24 Apr 2024, 03:26 It is currently 24 Apr 2024, 03:26

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
SORT BY:
Date
Math Expert
Joined: 02 Sep 2009
Posts: 92901
Own Kudos [?]: 618696 [7]
Given Kudos: 81586
Send PM
User avatar
Manager
Manager
Joined: 19 Dec 2015
Posts: 89
Own Kudos [?]: 395 [0]
Given Kudos: 13
Location: United States
GMAT 1: 720 Q50 V38
GPA: 3.8
WE:Information Technology (Computer Software)
Send PM
User avatar
Current Student
Joined: 18 Oct 2014
Posts: 680
Own Kudos [?]: 1763 [2]
Given Kudos: 69
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
Send PM
Verbal Forum Moderator
Joined: 08 Dec 2013
Status:Greatness begins beyond your comfort zone
Posts: 2101
Own Kudos [?]: 8808 [1]
Given Kudos: 171
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE:Information Technology (Consulting)
Send PM
Re: The factorial expression 13!/7! is not divisible by which of the follo [#permalink]
1
Kudos
13!/7!
= (13*12 * 11 *10 * 9 * 8 * 7!)/7!
= 13*12 * 11 * 10 * 9*8
The given factorial expression is not divisible by 7
Answer D
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4689 [3]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
Re: The factorial expression 13!/7! is not divisible by which of the follo [#permalink]
2
Kudos
1
Bookmarks
Bunuel wrote:
The factorial expression 13!/7! is not divisible by which of the following integers?

(A) 3
(B) 5
(C) 6
(D) 7
(E) 9


13!/7! => 13 x 12 x 11 x 10 x 9 x 8

(A) 3 Can divide 12 or 9
(B) 5 Can divide 10
(C) 6 Can divide 12

(D) 7 None of the Multiplicands present
(E) 9 Can divide 9

Hence answer will be (D)
Senior Manager
Senior Manager
Joined: 11 May 2014
Status:I don't stop when I'm Tired,I stop when I'm done
Posts: 474
Own Kudos [?]: 38816 [0]
Given Kudos: 220
Location: Bangladesh
Concentration: Finance, Leadership
GPA: 2.81
WE:Business Development (Real Estate)
Send PM
The factorial expression 13!/7! is not divisible by which of the follo [#permalink]
Bunuel wrote:
The factorial expression 13!/7! is not divisible by which of the following integers?

(A) 3
(B) 5
(C) 6
(D) 7
(E) 9



Factorial expression \(\frac{13!}{7!}\)=13*12*11*10*9*8 ,which is divisible by each answer choice except D.

So the Correct Answer is D
Retired Moderator
Joined: 19 Mar 2014
Posts: 817
Own Kudos [?]: 969 [0]
Given Kudos: 199
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.5
Send PM
Re: The factorial expression 13!/7! is not divisible by which of the follo [#permalink]
= 13*12*11*10*9*8

As we check the answer choices we see we are not having any integer that number 7 can divide.

Hence, Answer is D

Posted from my mobile device
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29902 [0]
Given Kudos: 799
Location: Canada
Send PM
Re: The factorial expression 13!/7! is not divisible by which of the follo [#permalink]
Expert Reply
Top Contributor
Bunuel wrote:
The factorial expression 13!/7! is not divisible by which of the following integers?

(A) 3
(B) 5
(C) 6
(D) 7
(E) 9


\(\frac{13!}{7!} = \frac{(13)(12)(11)(10)(9)(8)(7)(6)(5)(4)(3)(2)(1)}{(7)(6)(5)(4)(3)(2)(1)}=(13)(12)(11)(10)(9)(8)\)

(13)(12)(11)(10)(9)(8) is divisible by 3, because (13)(12)(11)(10)(9)(8) = (13)(12)(11)(10)(3)(3)(8). Eliminate A
(13)(12)(11)(10)(9)(8) is divisible by 5, because (13)(12)(11)(10)(9)(8) = (13)(12)(11)(5)(2)(9)(8). Eliminate B
(13)(12)(11)(10)(9)(8) is divisible by 6, because (13)(12)(11)(10)(9)(8) = (13)(7)(2)(11)(10)(9)(8). Eliminate C
(13)(12)(11)(10)(9)(8) is divisible by 6, because (13)(12)(11)(10)(9)(8) = (13)(12)(11)(10)(9)(8). Eliminate E

Answer: D

Cheers,
Brent
User avatar
Non-Human User
Joined: 09 Sep 2013
Posts: 32645
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: The factorial expression 13!/7! is not divisible by which of the follo [#permalink]
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: The factorial expression 13!/7! is not divisible by which of the follo [#permalink]
Moderators:
Math Expert
92901 posts
Senior Moderator - Masters Forum
3137 posts

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