|
|
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.
23 Sep 2015, 22:36
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
51% (01:24) correct
49%
(01:40)
wrong
based on 132
sessions
History
Date
Time
Result
Not Attempted Yet
If x is an integer and -2x + 1> 7, what is the value of x?
(1) x^2 + 9x + 20 = 0
(2) x >= -4
Kudos for a correct solution.
(1) x^2 + 9x + 20 = 0
(2) x >= -4
Kudos for a correct solution.
24 Sep 2015, 01:43
Kudos
Bookmarks
Bunuel
Solution: Solving -2x + 1> 7 ==> x < -3
Statement1 : x = -4 or -5. So, insufficient
Statement2 : -4 <= x < -3 and x is an integer. So, x = -4. Sufficient.
Option B
04 Apr 2020, 02:24
Kudos
Bookmarks
Bunuel
Solution
Step 1: Analyse Question Stem
- • x is an integer,
- o Also, \(-2x + 1 > 7⟹ -2x > 6 \)
o Dividing both sides of the above equation by (-2), we get,
- \(x < -3 …………….(i)\)
Keeping above analysis in mind let’s look at the individual statements.
Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE
Statement 1: \(x^2 + 9x + 20 = 0\)
- • According to this statement: \(x^2 + 9x + 20 = 0\)
- o \(⟹ (x +5)(x+4) = 0\)
o \(⟹ x = -4\), or \(-5\)
Hence, statement 1 is NOT sufficient and we can eliminate answer Options A and D.
Statement 2: \(x > = -4\)
- • According to this statement,\( x > = -4\),
• So, combining the above inequality with inequality(i), we get,
- o \(-4 ≤ x < -3\)
o Since x is an integer, the only value of x which satisfy the above equality is \(x = -4\)
Thus, the correct answer is Option B.
