Events & Promotions
|
|
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.
Jul 0911:00 AM PDT
-12:30 PM PDT
Welcome to the M7 MBA Spotlight Series, featuring MIT Sloan School of Management! This video is part of GMAT Club’s exclusive MBA Spotlight event, where top business schools meet prospective applicants like you.- Jun 30
08:00 AM PDT
-11:59 PM PDT
Join us June 30th for 2 weeks of GMAT questions (just 8 per day) to help with your prep and to compete with your fellow GMAT Clubbers for a chance to win a prize fund of $30,000 for you and your team-mates! - Jul 01
01:00 AM EDT
-11:00 PM EDT
More Target Test Prep students are earning 100th percentile GMAT scores. Don’t settle for less when the Target Test Prep course gives you everything you need to score high on the GMAT. Start your 5-day free trial today. - Jul 08
01:00 AM EDT
-11:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep. 
Jul 0809:30 AM EDT
-10:30 AM EDT
Learn how Kamakshi achieved a GMAT 675 with an impressive 96th %ile in Data Insights. Discover the unique methods and exam strategies that helped her excel in DI along with other sections for a balanced and high score.- Jul 08
10:00 AM PDT
-11:00 AM PDT
Did you know that there are test accommodations available for the GMAT exam? Not enough people do! In this informative video, Jason Northrup, GMAC’s Senior Manager for Testing Accommodations, joins GMAT Ninja founder Charles Bibilos - Jul 08
11:30 AM EDT
-01:30 PM EDT
An interactive 2-hour class by Aditya Kumar to Establish clear structures & guidelines to enhance your decision-making and improve your speed and accuracy in Algebra. 
Jul 0808:00 PM PDT
-09:00 PM PDT
Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations!- Jul 10
11:00 AM PDT
-11:00 AM PDT
In our conversation, Kishore talks about how strategically he used data analytics to identify high impact areas to focus on as well as his early morning study routine (3 AM prep!) that optimized his GMAT preparation. 
Jul 1211:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.
Jul 1311:00 AM EDT
-12:30 PM EDT
Looking for your GMAT motivation to break through the score plateau? Pragati improved her score by massive 160 points with strategic guidance and hard-work! Find out how personalized mentorship and a strong mindset can turn GMAT struggles into success.- Jul 15
08:00 PM PDT
-09:00 PM PDT
Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations!
03 Jan 2025, 01:30
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
47% (02:44) correct
53%
(02:19)
wrong
based on 105
sessions
History
Date
Time
Result
Not Attempted Yet
For how many integral values of x, the expression x^2 – 7x -2 is always less than 6 and greater than -8?
A) 0
B) 1
C) 2
D) 3
E) 4
A) 0
B) 1
C) 2
D) 3
E) 4
We can rewrite to:
\(x^2 - 7x -2 < 6\)
\(x^2 - 7x -2 > -8\)
OR working out further:
\(x(x-7) < 8 \)
\(x(x-7) > - 6\)
The first equation will be 8 if x = - 1 or x = 8 and the second equation will be -6 if x = 1 or x = 6
So for the 2 equations you get:
x element of \(]-1, 8[\)
x element of \(]inf , 1[\) and \(]6 , inf[\)
Combined you get that x= 0 or x= 7 are the only two options: 2
IMO: C
\(x^2 - 7x -2 < 6\)
\(x^2 - 7x -2 > -8\)
OR working out further:
\(x(x-7) < 8 \)
\(x(x-7) > - 6\)
The first equation will be 8 if x = - 1 or x = 8 and the second equation will be -6 if x = 1 or x = 6
So for the 2 equations you get:
x element of \(]-1, 8[\)
x element of \(]inf , 1[\) and \(]6 , inf[\)
Combined you get that x= 0 or x= 7 are the only two options: 2
IMO: C
03 Jan 2025, 04:21
Kudos
Bookmarks
Bunuel
For how many integral values of x, the expression x^2 – 7x -2 is always less than 6 and greater than -8?
A) 0
B) 1
C) 2
D) 3
E) 4
One way could be to plot rough graph and identify overlapping areas.A) 0
B) 1
C) 2
D) 3
E) 4
Minima of this quadratic equation would be at -b/2a = 7/2, for which value of this equation would be 7/2*7/2 -7*7/2 - 2 = -57/4 = ~(-14)
So minima is (x, y) = (7/2, -57/4)
As the given range (-8 , 6) would be above the minimal there would be 2 overlapping areas both on the left and right side of the minima.
During test it would be easier to identify both these overlaps by trying some obvious values like 0 and 7, as that cancels both the x^2 and x terms in the quadratic equation giving us -2 which falls in our required range.
If we try integer values around 0 ie. -1 and 1 we will get values 6 and -8 respectively which falls outside our required range
Similarly trying values around 7 ie. 6 and 8 will also result in -8 and 6 respectively which is again outside the range.
If we closely look at the attached diagram, we can see that the quadratic equation has one integer solution within the given range on both the sides of the minima.
Hence, no. of integer values of x withing the given range should be 2.
IMO: C
Attachments
quandratic.jpg [ 179.76 KiB | Viewed 1190 times ]
