GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Feb 2019, 08:34

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 in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • Free GMAT RC Webinar

     February 23, 2019

     February 23, 2019

     07:00 AM PST

     09:00 AM PST

    Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT
  • FREE Quant Workshop by e-GMAT!

     February 24, 2019

     February 24, 2019

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

Is PQ > 1?

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

Hide Tags

 
Manager
Manager
avatar
Joined: 27 Apr 2012
Posts: 57
Location: United States
GMAT Date: 06-11-2013
GPA: 3.5
WE: Marketing (Consumer Products)
GMAT ToolKit User Premium Member
Is PQ > 1?  [#permalink]

Show Tags

New post 05 Nov 2012, 00:13
1
4
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

56% (01:11) correct 44% (01:10) wrong based on 122 sessions

HideShow timer Statistics

Is PQ > 1?

(1) P^Q = 1
(2) Q = -1
Director
Director
User avatar
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 587
Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
GMAT ToolKit User Premium Member Reviews Badge
Re: Is PQ > 1?  [#permalink]

Show Tags

New post 05 Nov 2012, 00:25
2
shivanigs wrote:
Hi,

Request help with the following question.Thanks..

Is PQ > 1?

1.P^q = 1
2.q = -1


Statement 1: p^q =1
=> p could be any number and q=0
or q could be any number and p=1
or q coule be any even number and p=-1


Clearly not sufficient as PQ could be 0, >1 or <1.

Statement 2: q=-1
Clearly insufficient, no information on p.

Combining statement 1 and 2: if q=-1 and p^q =1
this gives p = 1, q=-1. Sufficient. (We can answer whether pq>1 or not)

Hence Ans C it is.
_________________

Lets Kudos!!! ;-)
Black Friday Debrief

Intern
Intern
avatar
Joined: 22 Jun 2012
Posts: 49
GMAT 1: 730 Q49 V40
Re: Is PQ > 1?  [#permalink]

Show Tags

New post 05 Nov 2012, 00:40
look at your possibilities step by step:

1/ p^q=1
means
either q=0 and/or p=1
p=545, q=0 => pq<1 or
p=1, q=8 => pq>1
insufficient

2/ we know nothing about p
example p=100 then pq<1
p=-100 then pq>1
insufficient

1/+2/
if q=-1 then p must be equal to 0 to satisfy the condition of 1/
sufficient
Manager
Manager
User avatar
Joined: 02 Nov 2012
Posts: 93
Location: India
Concentration: Entrepreneurship, Strategy
WE: Other (Computer Software)
Re: Is PQ > 1?  [#permalink]

Show Tags

New post 05 Nov 2012, 00:52
Hi,

Consider, 1. p^q=1
If p=10, q=0, then
=> p^q=1 (10^0=1)
=> pq > 1 is false (10*0 = 0 < 1)

If p=-1, q=-2, then
=> p^q=1 (-1^-2=1)
=> p^q > 1 true (-1*-2 = 2 > 1)

We have both true and false considering only first condition. Hence, A and D choices are eliminated.

-------------------

Now, consider 2. q=-1
If p=-2, then p^q>1
If p=2, then p^q<1
So, clearly only 2 is insufficient. Hence, B is eliminated.

-------------------

If p^q=1 and q=-1, then p=1.
Since p and q have definite values, 1. and 2. together are sufficient.

Hence, C is the answer.
_________________

TH

Give me +1 Kudos if my post helped!

"Follow your passion. Change the world."

Manager
Manager
avatar
Joined: 10 Jan 2011
Posts: 137
Location: India
GMAT Date: 07-16-2012
GPA: 3.4
WE: Consulting (Consulting)
Reviews Badge
Re: Is PQ > 1?  [#permalink]

Show Tags

New post 05 Nov 2012, 04:02
shivanigs wrote:
Hi,

Request help with the following question.Thanks..

Is PQ > 1?

1.P^q = 1
2.q = -1



1. If P^Q = 1 then P = 1 or Q = 0. consider p = 2 then Q has to be 0. P = 1 then Q can be anything. not suff.
2. Q= -1 then P and can be possibtive and PQ<1 or P can be negative ans PO>1. hence not suff.

combining 1 and 2.

if Q= -1 then P has to be 1 hence PQ <1 suff. answer should be C
_________________

-------Analyze why option A in SC wrong-------

Intern
Intern
User avatar
B
Joined: 03 Aug 2016
Posts: 29
Re: Is PQ > 1?  [#permalink]

Show Tags

New post 09 Jun 2017, 04:33
Ans is C.
when we both consider statetments, we get Q=-1 (given) and P=1 . implies PQ = -1 <1 . So Suffcient to sat that PQ>1 is incorrect always
VP
VP
User avatar
D
Status: Learning
Joined: 20 Dec 2015
Posts: 1038
Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: Q157 V157
GPA: 3.4
WE: Engineering (Manufacturing)
Reviews Badge CAT Tests
Re: Is PQ > 1?  [#permalink]

Show Tags

New post 09 Jun 2017, 11:15
Imo C
Taking value of P as 1 we will get 1 no matter the value of Q
If Q=0 then p can take any value
From statement 2
P can take any value making it both true and false
This both are necessary

Sent from my ONE E1003 using GMAT Club Forum mobile app
_________________

Please give kudos if you found my answers useful

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9893
Premium Member
Re: Is PQ > 1?  [#permalink]

Show Tags

New post 03 Feb 2019, 06:36
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: Is PQ > 1?   [#permalink] 03 Feb 2019, 06:36
Display posts from previous: Sort by

Is PQ > 1?

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.