|
|
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.
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
62% (01:40) correct
38%
(02:29)
wrong
based on 76
sessions
History
Date
Time
Result
Not Attempted Yet
If y is positive, is \(y^x > 1000\)?
(1) \(y^x = 3000 + y^{(x –1)}\)
(2) \(x > 1000\)
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
_________________
(1) \(y^x = 3000 + y^{(x –1)}\)
(2) \(x > 1000\)
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
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
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
• Tests: GMAT Club Tests | Forum Quiz
• Guides: Quantitative | Critical Reasoning | Reading Comprehension | Ultimate Quant Guide | All You Need for Quant
• Rules: Quantitative | Verbal
Given y is (+), means y^x means be >0 and the question is more than 1000?
Is y^x > 1000?
stmt (1) says y^x = 3000 + y^(x-1)
is this 3000+ y^(x-1) > 1000?
is y^(x-1) > -2000 if base (y) is positive, the value can never be negative. This is sufficient
stmt (2) allows us to get x and y, both are (+)
You can have a y^(positive infinity) and still have that value less than 1000 and similarly you can have it greater than 1000. Not sufficient.
Choice A
Is y^x > 1000?
stmt (1) says y^x = 3000 + y^(x-1)
is this 3000+ y^(x-1) > 1000?
is y^(x-1) > -2000 if base (y) is positive, the value can never be negative. This is sufficient
stmt (2) allows us to get x and y, both are (+)
You can have a y^(positive infinity) and still have that value less than 1000 and similarly you can have it greater than 1000. Not sufficient.
Choice A
Posts: 6,727
Bunuel
Given: y is positive
Target question: Is \(y^x > 1000\)?
Statement 1: \(y^x = 3000 + y^{(x –1)}\)
Key property: If \(y\) is positive, then \(y^x > 0\) for all values of \(x\)
This means statement 1 is actually telling us that: \(y^x = 3000 + \) some positive value, which means \(y^x > 3000\)
If \(y^x > 3000\), then we can be certain that \(y^x > 1000\)
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: \(x > 1000\)
There are several values of x and y that satisfy statement 2. Here are two:
Case a: \(y = 1\) and \(x = 2000\). Since \(1^{2000} = 1\), the answer to the target question is NO, \(y^x\) is not greater than \(1000\)
Case b: \(y = 10\) and \(x = 2000\). In this case, we can clearly see that \(10^{2000}\) is definitely greater than \(1000\)
Since we can’t answer the target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent
Posts: 90
If y is positive, is yx>1000yx>1000?
(1) yx=3000+y(x–1)yx=3000+y(x–1)
(2) x>1000
y is positive. y to the power of anything would be positive. So that (1) tells us that y^x is greater than 3000 thus A is the answer
(2) insufficient
(1) yx=3000+y(x–1)yx=3000+y(x–1)
(2) x>1000
y is positive. y to the power of anything would be positive. So that (1) tells us that y^x is greater than 3000 thus A is the answer
(2) insufficient
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.