1,000^2 + 1,001^2 +1,002^2 + 1,003^2 + 1,004^2 = Options:	A) 6 , 030,053	B) 6 , 030,054	C) 6 , 030,055	D) 6 , 020,030	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 . . . 1004 ^ 2 - > 16 total - > * 30 answer d .
Answer: D