Line L passes through points R(0,-5) and S(4,0) (See Below). Point P with coordinates (x,y) is a point on the line L. Is xy > 0?
1) x > 4
2) -5 < y < 0
Geometry
This topic has expert replies
- kvcpk
- Legendary Member
- Posts: 1893
- Joined: Sun May 30, 2010 11:48 pm
- Thanked: 215 times
- Followed by:7 members
We are given 2 points on the line. Equation for the line can be derived, though not necessary here.
1) x > 4
By looking at the graph, we know that whenever x is greater than 4, y is greater than 0.
Hence xy>0
SUFFICIENT
2) -5 < y < 0
As per the graph, This means y is lying in the 4th quadrant.
Therefore x is greater than 0.
y<0, x>0
hence xy<0
SUFFICIENT
However, I have not seen any question where the 2 statements are in conflict with each other.
Statement 1 says xy>0 and statement 2 says xy<0
I am reluctant to choose D
Is this the OA? or am I missing something?
1) x > 4
By looking at the graph, we know that whenever x is greater than 4, y is greater than 0.
Hence xy>0
SUFFICIENT
2) -5 < y < 0
As per the graph, This means y is lying in the 4th quadrant.
Therefore x is greater than 0.
y<0, x>0
hence xy<0
SUFFICIENT
However, I have not seen any question where the 2 statements are in conflict with each other.
Statement 1 says xy>0 and statement 2 says xy<0
I am reluctant to choose D
Is this the OA? or am I missing something?
"Once you start working on something,
don't be afraid of failure and don't abandon it.
People who work sincerely are the happiest."
Chanakya quotes (Indian politician, strategist and writer, 350 BC-275BC)
don't be afraid of failure and don't abandon it.
People who work sincerely are the happiest."
Chanakya quotes (Indian politician, strategist and writer, 350 BC-275BC)
- GMATinsight
- Legendary Member
- Posts: 1100
- Joined: Sat May 10, 2014 11:34 pm
- Location: New Delhi, India
- Thanked: 205 times
- Followed by:24 members
"GMATinsight"Bhoopendra Singh & Sushma Jha
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
- GMATinsight
- Legendary Member
- Posts: 1100
- Joined: Sat May 10, 2014 11:34 pm
- Location: New Delhi, India
- Thanked: 205 times
- Followed by:24 members
You are absolutely right kvcpk. GMAT never gives statements that give conflicting Answers. Therefore I find this question not fit for GMAT. However the same question can be considered for practicing the concepts needed to solve questions that have potential to come in GMAT.
"GMATinsight"Bhoopendra Singh & Sushma Jha
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
Thanks for all the solutions. I modified this question to get two conflicting answers because I wanted to know what would happen if there were two conflicting statements which are sufficient.
If any instructor can clarify this would be greatly appreciated. Thanks once again!
If any instructor can clarify this would be greatly appreciated. Thanks once again!
GMAT/MBA Expert
- Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
If you're looking for additional confirmation on this, I'll weigh in and say that the two statements in a DS question will NOT contradict each other.ruwan_ss wrote:Thanks for all the solutions. I modified this question to get two conflicting answers because I wanted to know what would happen if there were two conflicting statements which are sufficient.
If any instructor can clarify this would be greatly appreciated. Thanks once again!
Consider this example:
What is the value of x?
1) 2x = 6
2) x + 1 = 8
The above cannot be a true DS question, because the two statements contradict each other. Statement 1 tells us that x = 3, and statement 2 tells us that x = 7.
For more on this feature of DS questions, you can watch our free video titled "Useful Contradictions": https://www.gmatprepnow.com/module/gmat- ... cy?id=1104
In the video, we see how this fact can help us avoid careless mistakes.
Cheers,
Brent