If p and q are both odd integers, which of the following must be an odd integer?  Pick one
A) p+q  B) 2p+q  C) p+3q  D) 2p+q+1  E) p+q^2
p is odd; for this assume p=1   q is odd; for this assume q = 1   1+1= 
<gadget id="calculator">1+1</gadget>
<output>2</output>
2 Even     (2*1)+1= 
<gadget id="calculator">  (2*1)+1</gadget>
<output>3</output>
3 Odd    1 + (3*1)= 
<gadget id="calculator"> 1 + (3*1)</gadget>
<output>4</output>
4 Even     (2*1)+1+1= 
<gadget id="calculator">  (2*1)+1+1</gadget>
<output>4</output>
4 Even   1+(1^2)= 1 Even   Answer:2p+q
<result>B</result>
If p and q are both odd integers, which of the following must be an odd integer?