If v equals the sum of the odd integers from 5 to 505, inclusive, and q equals the sum of the odd integers from 3 to 303, inclusive, what is the value of v - q? Choose the correct choice from the following answers:
A) 1616
B) 153007
C) 40902
D) 1147612
E) 50503
Use following formulae for such problems:   Sum of evenly spaced integers = (# of integers)*(mean of integers)   # of integers = [(last - first)/2] + 1   Mean of integers = (last + first)/2   In above problem:   # of integers = [(505 - 5)/2] + 1= 251 and [(303-3)/2]+ 1 (505 - 5)/2  + 1= 
<gadget id="calculator">(505 - 5)/2  + 1</gadget>
<output>251</output>
251 and [(303-3)/2]+ 1 = 151   Mean of integers (303-3)/2 + 1= 
<gadget id="calculator">(303-3)/2 + 1</gadget>
<output>151</output>
151   Mean of integers= (505 + 5)/2= 
<gadget id="calculator">(505 + 5)/2</gadget>
<output>255</output>
255 and   (303 + 3)/2= 
<gadget id="calculator">  (303 + 3)/2</gadget>
<output>153</output>
153   Sum of integers= (251*255)= 
<gadget id="calculator">(251*255)</gadget>
<output>64_005</output>
64005 and   (151*153)= 
<gadget id="calculator">  (151*153)</gadget>
<output>23_103</output>
23103   Thus their difference (v - q)= 40902   ANSWER:40902
<result>C</result>
If v equals the sum of the odd integers from 5 to 505, inclusive, and q equals the sum of the odd integers from 3 to 303, inclusive, what is the value of v - q?