If m and p are positive integers and (m + p) x m is even, which of the following must be true?
A. If m is odd, then p is odd.
B. If m is odd, then p is even.
C. If m is even, then p is even.
D. If m is even, then p is odd.

Question

If m and p are positive integers and (m + p) x m is even, which of the following must be true?
  A. If m is odd, then p is odd. 	
  B. If m is odd, then p is even. 	
  C. If m is even, then p is even. 	
  D. If m is even, then p is odd.

amistre64 · Answer

distribute, that should help determine the results

anonymous · Answer

lets see..
(A) m = 3 and p = 5
(m + p) x m = (3 + 5) * 3 = 8 * 3 = 24 (result is even)
lets try another
m = 7 and p = 9
(m + p) * m = (7 + 9) * 7 = 16 * 7 = 112 (result is even)

so what does that tell you

amistre64 · Answer

trial and error, another well established method :)