by: Darina16
11 mins
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
GMAT 1: 760 Q51 V42
Posts: 10,057
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
40% (02:02) correct
60%
(02:02)
wrong
based on 94
sessions
History
Date
Time
Result
Not Attempted Yet
Attachment:
If.jpg [ 6.51 KiB | Viewed 3860 times ]
1) x2<x1
2) y1=y2
* A solution will be posted in two days.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
z1 = w1x1/y1 and z2 = w2x2/y2
w1 > w2. Assume w1= 2 and w2 = 1
z1 = 2(x1)/y1 and z2 = x2/y2
z1 > z2?
St2: y1 = y2 --> Not sufficient as we do not know the values of x1 and x2
St1: x2 < x1 --> Not sufficient as we do not know the values of y1 and y2
Combining St1 and St2,
Since y1 = y2, z1 and z2 depends only on the numerator values,
z1 = 2x1 and z2 = x2
If x2 = 3 and x1 = 1 then is z2 > z1? Yes
If x2 = 2 and x1 = 1 then is z2 > z1? No
Hence not sufficient
Answer: E
w1 > w2. Assume w1= 2 and w2 = 1
z1 = 2(x1)/y1 and z2 = x2/y2
z1 > z2?
St2: y1 = y2 --> Not sufficient as we do not know the values of x1 and x2
St1: x2 < x1 --> Not sufficient as we do not know the values of y1 and y2
Combining St1 and St2,
Since y1 = y2, z1 and z2 depends only on the numerator values,
z1 = 2x1 and z2 = x2
If x2 = 3 and x1 = 1 then is z2 > z1? Yes
If x2 = 2 and x1 = 1 then is z2 > z1? No
Hence not sufficient
Answer: E
GMAT 1: 760 Q51 V42
Posts: 10,057
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
If w1x1=y1z1,w2x2=y2z2, and w2<w1, is z1>z2?
1) x2<x1
2) y1=y2
In the original condition, there are 8 variables and 2 equations, which should match with the number of equations. So you need 6 equations. For 1) 1 equation, for 2) 1 equation, which is likely to make E the answer.
When 1) & 2), x2=y1=y2=w1=0, w2=-1. If x1=1, z1=2. If z2=1, it is yes. If z1=1, z2=12, it is no, which is not sufficient.
Therefore, the answer is E.
If w1x1=y1z1,w2x2=y2z2, and w2<w1, is z1>z2?
1) x2<x1
2) y1=y2
In the original condition, there are 8 variables and 2 equations, which should match with the number of equations. So you need 6 equations. For 1) 1 equation, for 2) 1 equation, which is likely to make E the answer.
When 1) & 2), x2=y1=y2=w1=0, w2=-1. If x1=1, z1=2. If z2=1, it is yes. If z1=1, z2=12, it is no, which is not sufficient.
Therefore, the answer is E.
MathRevolution
Awesome Sir ..
Now i answered it incorrectly as i got carried away and did not realize that y can be 0 too .
now sir if the question added y,z,x,w ≠ 0 .
then would C be the answer?
I Believe That..
Regards
Statement 1 and Statement 2 alone is insufficient to answer.
lets take both the statement together and try to solve the problem.
Since w1>w2
And According to statement 1&2. x1>x2 and y1=y2
So we can say that w1x1>w2x2
This implies y1z1>y2z2
And since y1=y2
So we can say that z1>z2
So Both statement is required to answer the question.
Is this correct??
lets take both the statement together and try to solve the problem.
Since w1>w2
And According to statement 1&2. x1>x2 and y1=y2
So we can say that w1x1>w2x2
This implies y1z1>y2z2
And since y1=y2
So we can say that z1>z2
So Both statement is required to answer the question.
Is this correct??
Automated notice from GMAT Club BumpBot:
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
_________________
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
_________________
Moderator:
Announcements
How to Tell If Your GMAT Prep Resources Are Actually Helping You
Subscribe to GMAT Club for New Podcast Episodes, Debriefs, & Insightful Sessions on GMAT Preparation
Subscribe to GMAT Club for New Podcast Episodes, Debriefs, & Insightful Sessions on GMAT Preparation
Tuck at Dartmouth
AI at Dartmouth Tuck: How the School Is Preparing Leaders for the Age of Artificial Intelligence
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Top 5 GMAT Debrief Videos
Success stories and strategies from high-scoring candidates.