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

It is currently 30 May 2020, 11:52

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

If #p# = ap^3+ bp – 1 where a and b are constants, and #-5#

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

Hide Tags

Find Similar Topics 
Manager
Manager
User avatar
Status: Current MBA Student
Joined: 19 Nov 2009
Posts: 89
Concentration: Finance, General Management
GMAT 1: 720 Q49 V40
If #p# = ap^3+ bp – 1 where a and b are constants, and #-5#  [#permalink]

Show Tags

New post 06 Oct 2010, 09:55
2
6
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

62% (02:06) correct 38% (02:15) wrong based on 269 sessions

HideShow timer Statistics

Can you please walk me through how to best approach this problem? Thanks

If #p# = ap^3+ bp – 1 where a and b are constants, and #-5# = 3, what is the value of #5#?

A. 5
B. 0
C. -2
D. -3
E. -5
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 64246
Re: MGMAT CAT function problem  [#permalink]

Show Tags

New post 06 Oct 2010, 10:04
2
1
tonebeeze wrote:
Can you please walk me through how to best approach this problem? Thanks

If #p# = ap3+ bp – 1 where a and b are constants, and #-5# = 3, what is the value of #5#?

a. 5

b. 0

c. -2

d. -3

e. -5


Given: \(#p#=ap^3+bp-1\) and \(#-5#=a(-5)^3+b(-5)-1=-125a-5b-1=3\) --> \(125a=-5b-4\).
Question: \(#5#=a5^3+b*5-1=125a+5b-1=?\) --> substitute \(125a\) --> \(#5#=(-5b-4)+5b-1=-5\).

Answer: E.
_________________
Retired Moderator
User avatar
Joined: 02 Sep 2010
Posts: 702
Location: London
GMAT ToolKit User Reviews Badge
Re: MGMAT CAT function problem  [#permalink]

Show Tags

New post 07 Oct 2010, 00:04
2
tonebeeze wrote:
Can you please walk me through how to best approach this problem? Thanks

If #p# = ap3+ bp – 1 where a and b are constants, and #-5# = 3, what is the value of #5#?

a. 5

b. 0

c. -2

d. -3

e. -5


\(f(p)=ap^3+bp-1\)
\(f(-p)=a(-p)^3+b(-p)-1=-ap^3-bp+1-2=-(ap^3+bp-1)-2=-f(p)-2\)

Using the above simplification :
\(f(5)=-f(-5)-2=-(3)-2=-5\)

Answer is (e)
_________________
Senior Manager
Senior Manager
avatar
Joined: 31 Mar 2010
Posts: 385
Location: Europe
Re: MGMAT CAT function problem  [#permalink]

Show Tags

New post 07 Oct 2010, 00:51
Just see these funny signs (there are many others) as a function, so #p# = f(p) = ap3+ bp – 1

They can use any other sign: xy = x+y
Director
Director
User avatar
Joined: 14 Dec 2012
Posts: 670
Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
GPA: 3.6
GMAT ToolKit User
Re: If #p# = ap^3+ bp – 1 where a and b are constants  [#permalink]

Show Tags

New post 17 Aug 2013, 10:01
1
Stiv wrote:
If \(#p# = ap^3+ bp - 1\)where a and b are constants, and #-5# = 3, what is the value of #5#?
A 5
B 0
C -2
D -3
E -5


#p# = ap^3 + bp - 1

#-5# = 3
putting p = -5 in above equation
-125a -(5b +1) = 3 or
#-5# = (125a+5b+1) = -3
therefore 125a+5b = -4 .....(1

now putting p = 5
#5# = 125 a+5b - 1
using equation 1(125a+5b = -4)
#5# = -4-1 = -5

hence E
_________________
When you want to succeed as bad as you want to breathe ...then you will be successfull....

GIVE VALUE TO OFFICIAL QUESTIONS...



GMAT RCs VOCABULARY LIST: http://gmatclub.com/forum/vocabulary-list-for-gmat-reading-comprehension-155228.html
learn AWA writing techniques while watching video : http://www.gmatprepnow.com/module/gmat-analytical-writing-assessment
: http://www.youtube.com/watch?v=APt9ITygGss
Senior Manager
Senior Manager
avatar
Joined: 10 Jul 2013
Posts: 274
Re: If #p# = ap^3+ bp – 1 where a and b are constants  [#permalink]

Show Tags

New post 17 Aug 2013, 10:42
Stiv wrote:
If \(#p# = ap^3+ bp - 1\)where a and b are constants, and #-5# = 3, what is the value of #5#?
A 5
B 0
C -2
D -3
E -5


#p# = ap^3+ bp - 1
or , #5# = 125a+ 5b - 1

#-5# = -125a -5b - 1
or, 3 = -125a-5b-1 or, 125a+5b= -4

so #5# = -4 -1 = -5
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15023
Re: If #p# = ap^3+ bp – 1 where a and b are constants, and #-5#  [#permalink]

Show Tags

New post 13 Dec 2018, 01:12
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 Club Bot
Re: If #p# = ap^3+ bp – 1 where a and b are constants, and #-5#   [#permalink] 13 Dec 2018, 01:12

If #p# = ap^3+ bp – 1 where a and b are constants, and #-5#

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





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