It is currently 23 Aug 2017, 18:05

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

a×b×c=d×e×f=b×g×e

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Intern
Intern
avatar
Joined: 21 Jan 2017
Posts: 13

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

a×b×c=d×e×f=b×g×e [#permalink]

Show Tags

New post 28 Jan 2017, 19:25
If
a×b×c=d×e×f=b×g×e
and each one's value is in between 1-9 and distinct. What is the value of g?

(A) 8
(B) 9
(C) 2
(D) 6

Sent from my Lenovo A6020a46 using GMAT Club Forum mobile app

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

Expert Post
Math Revolution GMAT Instructor
User avatar
G
Joined: 16 Aug 2015
Posts: 3826

Kudos [?]: 2523 [0], given: 0

GPA: 3.82
Premium Member CAT Tests
Re: a×b×c=d×e×f=b×g×e [#permalink]

Show Tags

New post 01 Feb 2017, 17:31
Harshit401 wrote:
If
a×b×c=d×e×f=b×g×e
and each one's value is in between 1-9 and distinct. What is the value of g?

(A) 8
(B) 9
(C) 2
(D) 6

Sent from my Lenovo A6020a46 using GMAT Club Forum mobile app



Hi Harshit401,

5, 7 can't be any variable among a, b, c, ... , f, g, since they are prime numbers and they showed up just once.
Hence a, b, c, ... g are from 1, 2, 3, 4, 6, 8, 9

(axbxc)x(dxexf)x(bxgxe) is the type of 2^(3k) * 3^(3n), but axbxcxdxexfxg = 1x2x3x4x6x8x9 = 2^7 * 3^4.
And so b * e = 2^2 * 3^2 and (axbxc) = (dxexf) = (bxgxe) = 2^3 * 3^2.
Therefore g = 2


Happy Studying!
Math Revolution Team
_________________

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 [?]: 2523 [0], given: 0

Re: a×b×c=d×e×f=b×g×e   [#permalink] 01 Feb 2017, 17:31
Display posts from previous: Sort by

a×b×c=d×e×f=b×g×e

  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®.