|
|
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.
25 Aug 2021, 08:00
Kudos
Bookmarks
D
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:
31% (02:29) correct
69%
(02:40)
wrong
based on 226
sessions
History
Date
Time
Result
Not Attempted Yet
If x is a non-zero integer, what is the value of \(x^4 - 5x^2 + 4\) ?
(1) \(|6- 3x| +3|x + 2| = 12\)
(2) \(|x^2 - 2| - |x - 2| = -2\)
M36-11
(1) \(|6- 3x| +3|x + 2| = 12\)
(2) \(|x^2 - 2| - |x - 2| = -2\)
M36-11
|
Experience GMAT Club Test Questions
Yes, you've landed on a GMAT Club Tests question
Craving more? Unlock our full suite of GMAT Club Tests here
Want to experience more? Get a taste of our tests with our free trial today
Rise to the challenge with GMAT Club Tests. Happy practicing!
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
25 Aug 2021, 09:08
Kudos
Bookmarks
(1) \(|6−3x|+3|x+2|=12\)
\(or, 3|2-x|+3|2+x|=12\)
\(or, |2-x|+|2+x|=4\)
x can be any value other than 0. Hence insuff.
(2) \(|x^2−2|−|x−2|=−2\)
\(or, |x^2−2|=−(2+|x−2|)\)
squaring both sides,
\(or, x^4+4-4x^2=-(4+x^2+4-4x+4x-8)\)
Eqn in question can be answered from the above eqn. Hence suff.
Option B
\(or, 3|2-x|+3|2+x|=12\)
\(or, |2-x|+|2+x|=4\)
x can be any value other than 0. Hence insuff.
(2) \(|x^2−2|−|x−2|=−2\)
\(or, |x^2−2|=−(2+|x−2|)\)
squaring both sides,
\(or, x^4+4-4x^2=-(4+x^2+4-4x+4x-8)\)
Eqn in question can be answered from the above eqn. Hence suff.
Option B
25 Aug 2021, 09:23
Kudos
Bookmarks
given that x is a non zero integer
find value of \(x^4 - 5x^2 + 4\)
#1 \(|6- 3x| +3|x + 2| = 12\)
solve
-6+3x+3x+6 = 12
x=2
and 6-3x-3x-6=12
x=-2
value of x = +2 & -2
for both the values of x \(x^4 - 5x^2 + 4\) would be same i.e. '0' as x is even power
sufficient
#2
\(|x^2 - 2| - |x - 2| = -2\)
x^2-2-x+2=-2
x^2-x=-2
x= -1
also
at x=-2 ; we get \(|x^2 - 2| - |x - 2| = -2\)
we are getting two different values of x =-1 & -2 and value of \(x^4 - 5x^2 + 4\) would be same '0'
sufficient
OPTION D is correct
find value of \(x^4 - 5x^2 + 4\)
#1 \(|6- 3x| +3|x + 2| = 12\)
solve
-6+3x+3x+6 = 12
x=2
and 6-3x-3x-6=12
x=-2
value of x = +2 & -2
for both the values of x \(x^4 - 5x^2 + 4\) would be same i.e. '0' as x is even power
sufficient
#2
\(|x^2 - 2| - |x - 2| = -2\)
x^2-2-x+2=-2
x^2-x=-2
x= -1
also
at x=-2 ; we get \(|x^2 - 2| - |x - 2| = -2\)
we are getting two different values of x =-1 & -2 and value of \(x^4 - 5x^2 + 4\) would be same '0'
sufficient
OPTION D is correct
Bunuel
