It is currently 17 Nov 2017, 20:15

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

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

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

Current Student
Joined: 06 Sep 2013
Posts: 1972

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

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

Show Tags

20 Sep 2013, 17:15
1
KUDOS
00:00

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

Math Expert
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

20 Sep 2013, 17:22
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 $$2^3*3^2*5*7$$.

_________________

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

Intern
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

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
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

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

Math Expert
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

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.
_________________

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

Director
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

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
Joined: 09 Sep 2013
Posts: 15708

Kudos [?]: 281 [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

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.
_________________

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

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

Show Tags

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

 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®.