NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 17:58 It is currently 24 Apr 2024, 17:58
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Is q positive?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618816 [4]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
Is q positive? [#permalink] New post   14 Jan 2015, 02:29
4
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

50% (01:07) correct 50% (00:56) wrong based on 150 sessions
Hide Show timer Statistics
Is q positive?

(1) qp^2 is not negative
(2) q^2 is positive

Kudos for a correct solution.
ShowHide Answer
Official Answer
E
User avatar
manpreetsingh86
Manager
Manager
Joined: 13 Jun 2013
Posts: 223
Own Kudos [?]: 1046 [2]
Given Kudos: 14
Send PM
Re: Is q positive? [#permalink] New post   14 Jan 2015, 11:20
2
Kudos
Bunuel wrote:
Is q positive?

(1) qp^2 is not negative
(2) q^2 is positive

Kudos for a correct solution.


st.1
if q=1, p=0 then answer to the original question is yes
if q=0, p=1 then answer to the original question is no.

hence st.1 alone is not sufficient

st.2
for both positive and negative values of q , q^2 can be positive. hence st.2 alone is not sufficient

st.1 + st.2

we know that q=0 is not a possible solution.because if q=0, then q^2 will not be positive. but if q takes some negative value, then p can still take zero as a value and can satisfy the condition given in st.1. hence st.1 and st.2 together are not sufficient. as both positive and negative values of q are possible.

therefore answer must be E
User avatar
littlewarthog
Manager
Manager
Joined: 22 Oct 2014
Posts: 81
Own Kudos [?]: 153 [1]
Given Kudos: 4
Concentration: General Management, Sustainability
GMAT 1: 770 Q50 V45
GPA: 3.8
WE:General Management (Consulting)
Send PM
Re: Is q positive? [#permalink] New post   14 Jan 2015, 11:22
1
Kudos
We can't really rewrite the information in the question, so we directly go into the statements:

(1) Since 0 is not negative, we don't know enough about q. q can be either 0, positive or negative, as the product of q and \(p^2\) will be 0 if p is 0.

(2) \(q^2\) is positive, that only tells us that q cannot be 0, but nothing more. It is also insufficient.

Both statements combined: From the second statement we know that q cannot be 0, but q can still be positive or negative, as either way, \(qp^2\) can be 0 and therefore fulfil the condition in statement 1.

Answer E is correct.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618816 [0]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
Re: Is q positive? [#permalink] New post   19 Jan 2015, 04:17
Expert Reply
Bunuel wrote:
Is q positive?

(1) qp^2 is not negative
(2) q^2 is positive

Kudos for a correct solution.


The correct answer is E.
User avatar
pacifist85
Senior Manager
Senior Manager
Joined: 07 Apr 2014
Status:Math is psycho-logical
Posts: 340
Own Kudos [?]: 386 [0]
Given Kudos: 169
Location: Netherlands
GMAT Date: 02-11-2015
WE:Psychology and Counseling (Other)
Re: Is q positive? [#permalink] New post   07 Feb 2015, 11:22
Yep also agree.

q>0?

[1] (qp)^2 >= 0.
If it is equal to zero, then q or p equal to zero.
If it is positive, then q,p are both positiive or both negative. So, NS.

[2] q^2>0. So, q cannot be zero. But, q could be positive or negative. NS.

[1,2] q is not zero (statement 2), but it could be positive or negative, statements 1 and 2. NS. ANS E
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32655
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: Is q positive? [#permalink] New post   24 Aug 2017, 05:41
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
gmatclubot
Re: Is q positive? [#permalink]
24 Aug 2017, 05:41
Moderator:
Bunuel
Math Expert
92900 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions