|
|
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.
29 Oct 2023, 12:50
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
86% (01:12) correct
14%
(01:13)
wrong
based on 28
sessions
History
Date
Time
Result
Not Attempted Yet
Is x > 15?
(1) x(x − 2) > 15
(2) x > 0
(1) x(x − 2) > 15
(2) x > 0
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
29 Oct 2023, 12:59
Kudos
Bookmarks
Snehaaaaa
Let's start with Statement 2 first, as it's easier of the two statements
Statement 2
2. x>0
The statement alone is not sufficient. From statement 2, we can infer that \(x\) is a positive number. However, we don't know whether \(x\) is greater than 15.
For example,
- if x = 1 → Is x>15 ⇒ No
- if x = 100 → Is x>15 ⇒ Yes
Statement 2 alone is not sufficient. Eliminate B and D.
Statement 1
1. x(x−2)>15
\(x^2 - 2x - 15 > 0\)
\((x-5)(x+3) > 0\)
The inequality holds true, when \(x > 5\) or when \(x < -3\)
The statement alone is not sufficient. If \(x\) is a positive value, we know that \(x\) must be greater than \(5\), however don't know whether \(x\) is greater than \(15\).
For example,
- if x = 10 → Is x>15 ⇒ No
- if x = 100 → Is x>15 ⇒ Yes
Combined
The statements combined tell us that \(x\) is a positive number greater than \(5\). However, don't know whether \(x\) is greater than \(15\).
Option E
Moderator:
