vishwas.arora wrote:If square roots of numbers are considered positive and sqrt (a) + sqrt (b) = sqrt (c) + sqrt (d) + sqrt (e) , then is a < c?
(1) c = d
(2) sqrt (b) + sqrt (d) < sqrt (e)
Pl read sqrt (x) as positive square root of x
Can anyone please explain the arithmetic approach..
Thanks in advance.
OA B
Stem equation rephrased:
√c = √a + (√b - √d - √e).
If (√b - √d - √e) > 0, then √c > √a and c>a.
Question rephrased: Is √b - √d - √e > 0?
Statement 1: c = d.
No way to determine whether √b - √d - √e > 0.
Insufficient.
Statement 2: √b + √d < √e.
√b + √d - √e < 0.
√b + √d - 2√d - √e < -2√d.
√b - √d - √e < -2√d.
Since -2√d < 0, we know that √b - √d - √e < 0.
Sufficient.
The correct answer is
B.
Last edited by
GMATGuruNY on Mon Aug 01, 2011 7:10 am, edited 1 time in total.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
