Vincen wrote:If x, y, and z are integers, what is the remainder when xyz is divided by 2?
(1) 6xy is even.
(2) 9zx is even.
Statement 1:
Let x=1 and y = 1, with the result that 6xy = 6*1*1 = 6.
Case 1: z=2
In this case, (xyz)/2 = (1*1*2)/2 = 1 R0.
Case 2: z=3
In this case, (xyz)/2 = (1*1*3)/2 = 1 R1.
Since the remainder can be different values, INSUFFICIENT.
Statement 2:
9zx will be even only if zx is even.
Implication:
xyz = (y)(zx) = (y)(even) = even.
Since xyz is even, dividing xyz by 2 will yield a remainder of 0.
SUFFICIENT.
The correct answer is
B.
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
