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

 It is currently 27 Jan 2020, 21:33

### 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

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

# Is q negative?

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 60687
Is q negative?  [#permalink]

### Show Tags

21 Feb 2016, 13:46
00:00

Difficulty:

5% (low)

Question Stats:

96% (00:47) correct 4% (01:05) wrong based on 48 sessions

### HideShow timer Statistics

Is q negative?

(1) rs > 0 and qs < 0
(2) r > 0

Kudos for correct solution.

_________________
Intern
Joined: 10 Nov 2014
Posts: 8
Re: Is q negative?  [#permalink]

### Show Tags

21 Feb 2016, 14:32
2
Bunuel wrote:
Is q negative?

(1) rs > 0 and qs < 0
(2) r > 0

Kudos for correct solution.

I would say C, although C feels a bit like a trap answer.

(1) $$rs > 0$$ tells us that both r and s are either positive or negative. $$qs < 0$$ indicates that q and s are different signs. Given that s could be positive or negative, based on the first inequality, we do not know whether q is negative. Insufficient

(2) We have no way to relate r to q using just this statement and the question stem. Insufficient

(Both) Now that we know that r is positive, s has to be positive (given $$rs > 0$$), which indicates that q is negative (given $$qs < 0$$). Sufficient
SVP
Joined: 06 Nov 2014
Posts: 1868
Re: Is q negative?  [#permalink]

### Show Tags

22 Feb 2016, 21:13
1
Bunuel wrote:
Is q negative?

(1) rs > 0 and qs < 0
(2) r > 0

Kudos for correct solution.

Statement 1:
rs > 0 and qs < 0

rs can be positive if both r and s have same signs.
Case1: r > 0
therefore s > 0

Now we are given that qs < 0
Hence q < 0

Case 2:
r < 0
Therefore s < 0

Now we are given that qs < 0
Hence q >0

Insufficient

Statement 2: r >0
Clearly insufficient as there is no information about q

Combining 1 and 2:
We come to the case 2 of statement 1.
Hence we can say that q < 0

Sufficient
Option C
Non-Human User
Joined: 09 Sep 2013
Posts: 14013
Re: Is q negative?  [#permalink]

### Show Tags

11 Dec 2019, 18:00
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.
_________________
Re: Is q negative?   [#permalink] 11 Dec 2019, 18:00
Display posts from previous: Sort by

# Is q negative?

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

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