|
|
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.
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
52% (01:30) correct
48%
(01:36)
wrong
based on 360
sessions
History
Date
Time
Result
Not Attempted Yet
The ratio of \(2 + \sqrt{6}\) to 3 is approximately equal to which of the following ratios?
A. 2 to 1
B. 3 to 2
C. 4 to 3
D. 7 to 6
E. 13 to 12
A fast method to solve it? Thanks!
A. 2 to 1
B. 3 to 2
C. 4 to 3
D. 7 to 6
E. 13 to 12
A fast method to solve it? Thanks!
30 Dec 2012, 07:13
Kudos
Bookmarks
danzig
\(2.5^2=6.25\), thus \(\sqrt{6}\) is a bit less than 2.5.
Hence, \(2 + \sqrt{6}\approx{2+2.5}=4.5\).
So, \(\frac{2 + \sqrt{6}}{3}\approx{\frac{4.5}{3}}=1.5=\frac{3}{2}\).
Answer: B.
General Discussion
30 Dec 2012, 04:38
Kudos
Bookmarks
danzig
fast method revolves around estimation : 2*2 = 4 and 3*3 = 9 so sq root of 6 will fall between 2 and 3. To further gauze the same : 2.4*2.4=5.76 while 2.5*2.5 = 6.25 so we know we are looking for ratio slightly greater than 2+2.4/3 i.e. 4.4/3<x<4.5/3 fortunately 4.5 is a multiple of 3 so we can write 4.4/3<x<1.5 i.e. very close to 1.5
Now A is too big, B is close we know our ratio is near1.5 i.e 3 to 2 so wait until we find a better fit, C is definitely far away than is 1.5 so c is out.
D: its basically 3.5 to 3 and so this too is far wide than B.
E: denomitar is a multiplied by 4 will be numerator, it means we are talking about 13/4 i.e. 3.something so E is out.
SO B stands out
