GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 28 Jan 2020, 18:17

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

The variables B and C are functions of the value of A such that with

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 60727
The variables B and C are functions of the value of A such that with  [#permalink]

Show Tags

New post 25 Nov 2019, 02:36
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

33% (03:07) correct 67% (02:28) wrong based on 21 sessions

HideShow timer Statistics

The variables B and C are functions of the value of A such that with every increase of 1 in the value of A, the value of B increases by a factor of 3 and the value of C increases by a factor of 5. If B and C are positive for all positive A, what is the value of B/(C-B) when A = 8?

(1) When A = 5, B = 2C.
(2) When A = 6, B = C + 15.


Are You Up For the Challenge: 700 Level Questions

_________________
Senior Manager
Senior Manager
User avatar
P
Joined: 21 Jun 2017
Posts: 399
Location: India
Concentration: Finance, Economics
Schools: IIM
GMAT 1: 620 Q47 V30
GPA: 3
WE: Corporate Finance (Commercial Banking)
Re: The variables B and C are functions of the value of A such that with  [#permalink]

Show Tags

New post 25 Nov 2019, 06:44
The variables B and C are functions of the value of A


dont get this.
chetan2u please guide
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 8327
Re: The variables B and C are functions of the value of A such that with  [#permalink]

Show Tags

New post 25 Nov 2019, 09:40
1
1
Bunuel wrote:
The variables B and C are functions of the value of A such that with every increase of 1 in the value of A, the value of B increases by a factor of 3 and the value of C increases by a factor of 5. If B and C are positive for all positive A, what is the value of B/(C-B) when A = 8?

(1) When A = 5, B = 2C.
(2) When A = 6, B = C + 15.


Are You Up For the Challenge: 700 Level Questions



Hi..

So if A increases by 1, say A+1, the value of B increases by a factor of 3, that is it becomes 3B and the value of C increases by a factor of 5, that is 5C..

(1) When A = 5, B = 2C.
A=6..\(C_6=5C\) and \(B_6=3*(2C_6)=3*(2*5C)=30C\)
A=7..\(C_7=5C_6=5*5C=25C\) and \(B_7=3*(2C_7)=3*(2*25C)=150C\)
A=8..\(C_8=5C_7=5*25C=125C\) and \(B_8=3*(2C_8)=3*(2*125C)=750C\)
Hence \(\frac{B_8}{(C_8-B_8)}=\frac{750C}{125C-750C}=\frac{750C}{-625C}=\frac{-6}{5}\)
Suff

(2) When A = 6, B = C + 15.
Now , here you have a term 15 which is free of variable so the answer will be in terms of variables, and NOT sufficient..
A=7..\(C_7=5C\) and \(B_7=3*(C_7+15)=3*(5C+15)=15(C+3)\)
A=8..\(C_8=5C_7=25C\) and \(B_8=3*(C_8+15)=3*(25C+15)=15(5C+3)\)
Hence \(\frac{B_8}{(C_8-B_8)}=\frac{15(5C+3)}{25C-15(5C+3)}\)
Insuff

A
_________________
GMAT Club Bot
Re: The variables B and C are functions of the value of A such that with   [#permalink] 25 Nov 2019, 09:40
Display posts from previous: Sort by

The variables B and C are functions of the value of A such that with

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





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