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sanju09 wrote:Is the integer a less than the integer b?

(1) a^3 < b^3.

(2) a^2 < b^2.



http://www.testprepreview.com
{a^3-b^3}< 0
(a-b)(a^2+b^2-ab)<0
(a-b)(a^2+b^2-ab)<0

since [a^2+b^2]/2>ab
thus a<b

by umesh321

Wed Apr 06, 2011 6:13 am
Forum: Data Sufficiency
Topic: iS a < B?
Replies: 7
Views: 3218

My approach:- x and y are integers, and |x|>|y| is x*|y|< x-y? (1) xy ≥ 0 (2) x < 0 (1)1) xy ≥ 0 if both x and y are positive integers ==> x*y<x-y ==> y<1-y/x which is not valid if both x and y are negative integers ==> which is not always x*|y|< x-y -IxI*IyI<-IxI+IyI IxI< IyI(1+IxI) which is al...

by umesh321

Fri Apr 01, 2011 7:48 am
Forum: Data Sufficiency
Topic: Geez--Shld we expect this on d GMAT?
Replies: 8
Views: 1514

In E, most of people has doubt about usage "the only of"
My point is that only is a adjective and the same can be used in this way.
i.e.
All religions are similar ,but the difference is only of custom ,tradition ,and country.

by umesh321

Tue Jan 25, 2011 10:27 am
Forum: Sentence Correction
Topic: Knewton Challenge, 1/25/11 (Eucbacteria)
Replies: 26
Views: 6729

Hi Adam... Able to synthesize chemical energy or obtain it from an external source in both the presence and the absence of oxygen, kingdom Eubacteria is the only one of the six-kingdom classification system that displays the full range of metabolic diversity. (A) is the only one of the six-kingdom c...

by umesh321

Tue Jan 25, 2011 10:11 am
Forum: Sentence Correction
Topic: Knewton Challenge, 1/25/11 (Eucbacteria)
Replies: 26
Views: 6729