Carcass wrote:
Let m be an odd integer and n an even integer. Which of the following must be even?
(A) \( nm^2\)
(B) \( n + m\)
(C) \( 3n – 2m\)
(D) \( n – m\)
(E) \( nm\)
GRE Tips and Tricks - UPDATED 11/15/2021GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)GRE Geometry Formulas for a Q170The simplest approach to this kind of question is to plug in an odd number for \(m\) and an even number for \(n\).
So let's plug in \(m = 1\) and \(n = 0\)
(since these values make our calculations easiest)We get:
(A) \( (0)(1^2) = 0\)
EVEN. So, choice A is correct. (B) \( 0 + 1=1\)
ODD. Eliminate choice B(C) \( 3(0) – 2(1)=-2\)
EVEN. So, choice C is correct. (D) \( 0 – 1=-1\)
ODD. Eliminate choice D(E) \( (0)(1)=0\)
EVEN. So, choice E is correct. Answer: A, C and E