It is currently 17 Nov 2017, 20:15

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

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

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

Hide Tags

1 KUDOS received
Current Student
User avatar
Joined: 06 Sep 2013
Posts: 1972

Kudos [?]: 740 [1], given: 355

Concentration: Finance
GMAT ToolKit User
The product 7 x 6 x 5 x 4 x 3 is divisible by all of the fol [#permalink]

Show Tags

New post 20 Sep 2013, 17:15
1
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

70% (01:06) correct 30% (01:21) wrong based on 243 sessions

HideShow 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
[Reveal] Spoiler: OA

Kudos [?]: 740 [1], given: 355

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42248

Kudos [?]: 132522 [0], given: 12324

Re: The product 7 x 6 x 5 x 4 x 3 is divisible by all of the fol [#permalink]

Show Tags

New post 20 Sep 2013, 17:22

Kudos [?]: 132522 [0], given: 12324

Intern
Intern
avatar
Joined: 11 Dec 2013
Posts: 1

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

Re: The product 7 x 6 x 5 x 4 x 3 is divisible by all of the fol [#permalink]

Show Tags

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.

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

Intern
Intern
avatar
B
Joined: 17 Oct 2013
Posts: 41

Kudos [?]: 16 [0], given: 21

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]

Show Tags

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

Kudos [?]: 16 [0], given: 21

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42248

Kudos [?]: 132522 [0], given: 12324

Re: The product 7 x 6 x 5 x 4 x 3 is divisible by all of the fol [#permalink]

Show Tags

New post 08 Jan 2014, 05:51
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 Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 132522 [0], given: 12324

Director
Director
User avatar
G
Joined: 23 Jan 2013
Posts: 603

Kudos [?]: 27 [0], given: 41

Schools: Cambridge'16
Re: The product 7 x 6 x 5 x 4 x 3 is divisible by all of the fol [#permalink]

Show Tags

New post 04 Jul 2015, 01:04
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

Kudos [?]: 27 [0], given: 41

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15708

Kudos [?]: 281 [0], given: 0

Premium Member
Re: The product 7 x 6 x 5 x 4 x 3 is divisible by all of the fol [#permalink]

Show Tags

New post 26 Oct 2016, 09:47
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 281 [0], given: 0

Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3097

Kudos [?]: 1114 [0], given: 327

Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: The product 7 x 6 x 5 x 4 x 3 is divisible by all of the fol [#permalink]

Show Tags

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 )

Kudos [?]: 1114 [0], given: 327

Re: The product 7 x 6 x 5 x 4 x 3 is divisible by all of the fol   [#permalink] 26 Oct 2016, 11:13
Display posts from previous: Sort by

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

  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®.