1,000^2 + 1,001^2 +1,002^2 + 1,003^2 + 1,004^2 + 1,005^2+ 1,006^2 =	Choose the correct choice from the following:
A) 6 , 030,053
B) 6 , 030,054
C) 6 , 030,055
D) 6 , 042,091
E) 6 , 030,057

Rationale: "interesting problem . i think key is to notice that all the given answer choices differs in last two digits . therefore , our entire focus should be to figure out how the given terms contribute to last two digits of total . 1000 ^ 2 - > 00 1001 ^ 1 - > 01 . . . 1006 ^ 2 - > 36 total - > * 91 answer d ."
Answer: D