NEW HERE? LEARN MORE
closeclose
It is currently 23 Apr 2024, 00:35
Register
GMAT Focus Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

The product 7 x 6 x 5 x 4 x 3 is divisible by all of the fol

8 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Question banks

GMAT Question Banks

Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
jlgdr
VP
VP
Joined: 06 Sep 2013
Posts: 1346
Concentration: Finance
Schools: Wharton '17 (A) HBS '17 (WA$)
GMAT ToolKit User
The product 7 x 6 x 5 x 4 x 3 is divisible by all of the fol [#permalink] New post  20 Sep 2013, 17:15
3
Kudos
7
Bookmarks
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

72% (01:32) correct 28% (01:39) wrong based on 480 sessions
Hide Show timer Statistics
The product 7 x 6 x 5 x 4 x 3 is divisible by all of the following EXCEPT:

(A) 120
(B) 240
(C) 360
(D) 840
(E) 1,260
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92847
CAT Tests Forum Quiz Mode
Re: The product 7 x 6 x 5 x 4 x 3 is divisible by all of the fol [#permalink] New post  20 Sep 2013, 17:22
Expert Reply
jlgdr wrote:
The product 7 x 6 x 5 x 4 x 3 is divisible by all of the following EXCEPT:

(A) 120
(B) 240
(C) 360
(D) 840
(E) 1,260


\(3*4*5*6*7=2^3*3^2*5*7\).

(B) \(240=2^4*3*5\) --> 2 has higher power here than in \(2^3*3^2*5*7\).

Answer: B.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
avatar
Emanuel2410
Intern
Intern
Joined: 11 Dec 2013
Posts: 1
Re: The product 7 x 6 x 5 x 4 x 3 is divisible by all of the fol [#permalink] New post  08 Jan 2014, 04:43
Hi there!

I didn't get the answer right, because neither 120, nor 240 include the factor 7. Why do we just focus on the exponential term of 2 and not on the 7?
Thank you very much for your response.
avatar
B
bharatdivvela
Intern
Intern
Joined: 17 Oct 2013
Posts: 37
Schools: HEC Dec"18
GMAT Date: 02-04-2014
Re: The product 7 x 6 x 5 x 4 x 3 is divisible by all of the fol [#permalink] New post  08 Jan 2014, 05:42
jlgdr wrote:
The product 7 x 6 x 5 x 4 x 3 is divisible by all of the following EXCEPT:

(A) 120
(B) 240
(C) 360
(D) 840
(E) 1,260


5*4*3= 120
240=5*4*3*2
hence 7*6*5*4*3 is not divisible by 240
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92847
CAT Tests Forum Quiz Mode
Re: The product 7 x 6 x 5 x 4 x 3 is divisible by all of the fol [#permalink] New post  08 Jan 2014, 05:51
Expert Reply
Emanuel2410 wrote:
Hi there!

I didn't get the answer right, because neither 120, nor 240 include the factor 7. Why do we just focus on the exponential term of 2 and not on the 7?
Thank you very much for your response.


The question is: \(3*4*5*6*7=2^3*3^2*5*7\) is divisible by all of the following EXCEPT... So, \(2^3*3^2*5*7\) is dividend and the options are divisors, not vise-versa.

\(2^3*3^2*5*7\) is NOT divisible only by \(240=2^4*3*5\), because the power of 2 in the divisor is higher than the power of 2 in dividend.

Hope it's clear.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
G
Temurkhon
Senior Manager
Senior Manager
Joined: 23 Jan 2013
Posts: 429
Schools: Cambridge'16
Re: The product 7 x 6 x 5 x 4 x 3 is divisible by all of the fol [#permalink] New post  04 Jul 2015, 01:04
1
Kudos
Eliminate 0 in all options and 5*2 in multiple to get

7*3*2*2*3

12=3*2*2, Yes
24=2*2*2*3, No
36=2*3*3*2, Yes
84=2*7*3*2, Yes
126=2*7*3*3, Yes

B
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
GMAT ToolKit User
Re: The product 7 x 6 x 5 x 4 x 3 is divisible by all of the fol [#permalink] New post  26 Oct 2016, 11:13
jlgdr wrote:
The product 7 x 6 x 5 x 4 x 3 is divisible by all of the following EXCEPT:

(A) 120
(B) 240
(C) 360
(D) 840
(E) 1,260


7 x 6 x 5 x 4 x 3 = 2^3 x 3^2 x 5 x 7

Now, check the options -

(A) 120 = 2^3 x 3^1 x 5
(B) 240 = 2^4 x 3^1 x 5^1
(C) 360 = 2^3 x 3^2 x 5^1
(D) 840 = 2^3 x 3^1 x 5^1 x 7^1
(E) 1,260 = 2^2 x 3^2 x 5^1 x 7^1

Thus all except option (B) can completely divide the number...

Hence answer will be (B)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Signature Read More
User avatar
S
Paras96
Director
Director
Joined: 11 Sep 2022
Posts: 501
Location: India
Paras: Bhawsar
GMAT 1: 590 Q47 V24
GMAT 2: 580 Q49 V21
GMAT 3: 700 Q49 V35
GPA: 3.2
WE:Project Management (Other)
Re: The product 7 x 6 x 5 x 4 x 3 is divisible by all of the fol [#permalink] New post  29 Jul 2023, 06:36
7 x 6 x 5 x 4 x 3 = (2^3)(3^2)(5)(7)

and 240=(2^4)(3)(5)

It can be inferred that the product is not divisible by 240

Hence B
GMAT Club Bot
gmatclubot
Re: The product 7 x 6 x 5 x 4 x 3 is divisible by all of the fol [#permalink]
29 Jul 2023, 06:36
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
Bunuel
Math Expert
92842 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions