If p is an even integer and q is an odd integer, which of the following must be an even integer?
Choices
A) 2p-q B) 3p+2q-1 C) p+q D) 3p-q E) 3p-2q
p is even; for this assume p=2   q is odd; for this assume q = 1   (2*2)-1= 
<gadget id="calculator">(2*2)-1</gadget>
<output>3</output>
3 Odd    (3*2)+(2*1)-1= 
<gadget id="calculator"> (3*2)+(2*1)-1</gadget>
<output>7</output>
7 Odd    2+1= 
<gadget id="calculator"> 2+1</gadget>
<output>3</output>
3 Odd    (3*2)-1= 
<gadget id="calculator"> (3*2)-1</gadget>
<output>5</output>
5 Odd    (3*2)-(2*1)= 
<gadget id="calculator"> (3*2)-(2*1)</gadget>
<output>4</output>
4 3p-2qven   Answer:3p-2q
<result>E</result>
If p is an even integer and q is an odd integer, which of the following must be an even integer?