It is currently 19 Nov 2017, 13:22

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

If p and q are not 0, what is the value of p^3*q^3 ?

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

Hide Tags

Manager
Manager
User avatar
G
Joined: 07 Jun 2017
Posts: 175

Kudos [?]: 86 [0], given: 59

Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
GMAT ToolKit User
If p and q are not 0, what is the value of p^3*q^3 ? [#permalink]

Show Tags

New post 19 Oct 2017, 05:39
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

66% (01:10) correct 34% (01:12) wrong based on 53 sessions

HideShow timer Statistics

If p and q are not 0, what is the value of \(p^3*q^3\) ?

1. \(p^2 – (\frac{4}{q})^2 = 0\)

2. \(p^3 – (\frac{4}{q})^3 = 0\)
[Reveal] Spoiler: OA

_________________

Regards,
Naveen
email: nkmungila@gmail.com
Please press kudos if you like this post

Kudos [?]: 86 [0], given: 59

Expert Post
Math Expert
User avatar
P
Joined: 02 Aug 2009
Posts: 5210

Kudos [?]: 5843 [0], given: 117

Re: If p and q are not 0, what is the value of p^3*q^3 ? [#permalink]

Show Tags

New post 19 Oct 2017, 08:11
nkmungila wrote:
If p and q are not 0, what is the value of \(p^3*q^3\) ?

1. \(p^2 – (\frac{4}{q})^2 = 0\)

2. \(p^3 – (\frac{4}{q})^3 = 0\)



Hi...

1. \(p^2 – (\frac{4}{q})^2 = 0\)..
\(\frac{p^2*q^2-4^2}{q^2}=0\)..
Means \(p^2q^2-4^2=0.....p^2q^2=4^2...\)
pq can be -4 or 4, so p^3*q^3=-4^3 or 4^3
Insufficient

2. \(p^3 – (\frac{4}{q})^3 = 0\)..
\(\frac{p^3q^3-4^3}{q^3}=0\)...
This means \(p^3*q^3=4^3\)
Sufficient

B
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5843 [0], given: 117

Senior Manager
Senior Manager
User avatar
G
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 332

Kudos [?]: 106 [0], given: 321

Location: India
GPA: 3.64
GMAT ToolKit User Premium Member Reviews Badge
Re: If p and q are not 0, what is the value of p^3*q^3 ? [#permalink]

Show Tags

New post 20 Oct 2017, 01:46
S1 => \(p^2 –(\frac{4}{q})^2\) =0
\(p^2 = (\frac{4}{q})^2\)
|p|=|\(\frac{4}{q}\)|
p=\(\frac{4}{q} or \frac{-4}{q}\)
pq can be 4 or -4. Not sufficient.

S2 =>\(p^3 –(4/q)^3\)=0
\(p^3 = (\frac{4}{q})^3\)
p=\(\frac{4}{q}\)
pq = 4
\(p^3 * q^3 = 4^3\)
Sufficient.
Answer B.

Please give kudos, if u liked my post!
_________________

Please give kudos, if you like my post

When the going gets tough, the tough gets going...

Kudos [?]: 106 [0], given: 321

Director
Director
avatar
P
Joined: 25 Feb 2013
Posts: 555

Kudos [?]: 248 [0], given: 34

Location: India
Schools: Mannheim"19 (S)
GPA: 3.82
GMAT ToolKit User Reviews Badge
If p and q are not 0, what is the value of p^3*q^3 ? [#permalink]

Show Tags

New post 20 Oct 2017, 03:01
nkmungila wrote:
If p and q are not 0, what is the value of \(p^3*q^3\) ?

1. \(p^2 – (\frac{4}{q})^2 = 0\)

2. \(p^3 – (\frac{4}{q})^3 = 0\)


Statement 1: \(p^2=(\frac{4}{q})^2\), multiply both sides of the equation by \(pq^3\)

\(p^3q^3=16pq\)

\(p^3q^3-16pq=0=>pq(p^2q^2-16)=0\), \(pq\) cannot be \(0\) as \(p\) & \(q\) are not \(0\) or \(pq=±\sqrt{16}\) or \(pq=±4\).

there is no unique value. Hence Insufficient

Statement 2: \(p^3=(\frac{4}{q})^3\). multiply both sides of the equation by \(q^3\)

\(p^3q^3=64\). Sufficient

Option B

Kudos [?]: 248 [0], given: 34

If p and q are not 0, what is the value of p^3*q^3 ?   [#permalink] 20 Oct 2017, 03:01
Display posts from previous: Sort by

If p and q are not 0, what is the value of p^3*q^3 ?

  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®.