Gmatprep13 wrote:If x is a positive integer, is x even?
(1) x^4 is even
(2) 4x is even
AnswerA
Source: MGMAT, Odds and Evens, Level 500-600[/spoiler]
Since x is an integer, x must be ODD or EVEN.
Statement 1: x� is even
If x is odd, then x� = (odd)(odd)(odd)(odd) = odd, which does not satisfy the statement.
Thus, x must be even.
SUFFICIENT.
Statement 2: 4x is even
It's possible that x=1, in which case x is odd.
It's possible that x=2, in which case x is even.
INSUFFICIENT.
The correct answer is
A.
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
