|
|
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.
26 May 2017, 04:47
Kudos
Bookmarks
\([x]\) is a smallest integer greater than or equal to \(x\) and \(\{x\}\) is a greatest integer less than or equal to \(x\). What is the value of \([\frac{1.5}{\{1.5\}} - \frac{1.5}{[1.5]}]\)?
A. -1
B. -0.5
C. 0
D. 0.5
E. 1
A. -1
B. -0.5
C. 0
D. 0.5
E. 1
26 May 2017, 04:48
Kudos
Bookmarks
Official Solution:
\([x]\) is a smallest integer greater than or equal to \(x\) and \(\{x\}\) is a greatest integer less than or equal to \(x\). What is the value of \([\frac{1.5}{\{1.5\}} - \frac{1.5}{[1.5]}]\)?
A. -1
B. -0.5
C. 0
D. 0.5
E. 1
\([x]\) is the smallest integer greater than or equal to \(x\), so it gets rounded up, which then becomes \([1.5] = 2\)
\(\{x\}\) is the greatest integer less than or equal to \(x\), so it gets rounded down, which then becomes \(\{1.5\} = 1\). If so, you get
\([\frac{1.5}{\{1.5\}} - \frac{1.5}{[1.5]}] = [\frac{1.5}{1} - \frac{1.5}{2}] = [1.5-0.75] = [0.75] = 1\)
Therefore, E is the answer.
Answer: E
\([x]\) is a smallest integer greater than or equal to \(x\) and \(\{x\}\) is a greatest integer less than or equal to \(x\). What is the value of \([\frac{1.5}{\{1.5\}} - \frac{1.5}{[1.5]}]\)?
A. -1
B. -0.5
C. 0
D. 0.5
E. 1
\([x]\) is the smallest integer greater than or equal to \(x\), so it gets rounded up, which then becomes \([1.5] = 2\)
\(\{x\}\) is the greatest integer less than or equal to \(x\), so it gets rounded down, which then becomes \(\{1.5\} = 1\). If so, you get
\([\frac{1.5}{\{1.5\}} - \frac{1.5}{[1.5]}] = [\frac{1.5}{1} - \frac{1.5}{2}] = [1.5-0.75] = [0.75] = 1\)
Therefore, E is the answer.
Answer: E
Moderator:
