If p is an odd integer and q is an even integer, which of the following must be an even integer?  Choose the correct choice from the following answers.
A) 2q-p
B) 3p+q
C) 2p+3q
D) 4(p+q)
E) p+q^2
p is odd; for this assume p=1   q is even; for this assume q = 2   (2*2)-1= 
<gadget id="calculator">(2*2)-1</gadget>
<output>3</output>
3 Odd    (3*1)+2= 
<gadget id="calculator"> (3*1)+2</gadget>
<output>5</output>
5 Odd   (2*1)+(3*2)= 9 Odd   4(1+2) = 12 Even   1+(2^2) = 5 Odd   Answer:4(p+q)
<result>D</result>
If p is an odd integer and q is an even integer, which of the following must be an even integer?