|
|
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.
15 Apr 2021, 01:30
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:
50% (01:11) correct
50%
(01:41)
wrong
based on 76
sessions
History
Date
Time
Result
Not Attempted Yet
Is \(\frac{7+x}{8+x} ≥ \frac{7}{8}\)?
(1) \(x \leq 0\)
(2) \(x \geq 0\)
(1) \(x \leq 0\)
(2) \(x \geq 0\)
15 Apr 2021, 02:39
Kudos
Bookmarks
7/8= 7*0.125=0.875
(1) x≤0x≤0
say x=-4 ; 3/4=0.75
Meaning for all values of x <0 the expression value will be less than 7/8 and for x=0 it will be equal
Hence, not sufficient
(2) x≥0
For X=0 value RHS=LHS
For Values of x>0
expression will move closer to 1 i.e 9/10 < 11/12 < 12/13 < 13/14 ....etc
Hence, Sufficient
Answer should be B in my opinion
(1) x≤0x≤0
say x=-4 ; 3/4=0.75
Meaning for all values of x <0 the expression value will be less than 7/8 and for x=0 it will be equal
Hence, not sufficient
(2) x≥0
For X=0 value RHS=LHS
For Values of x>0
expression will move closer to 1 i.e 9/10 < 11/12 < 12/13 < 13/14 ....etc
Hence, Sufficient
Answer should be B in my opinion
15 Apr 2021, 03:28
Kudos
Bookmarks
Bunuel
Given: \(\frac{7+x}{8+x} ≥ \frac{7}{8}\)
Cross-multiply to get:
\(8*(7+x) ≥ 7*(8+x)\)
\(56 + 8x ≥ 56 + 7x\)
\(8x ≥ 7x\)
\(x ≥ 0\) - Option(B)
