Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

[EX Q]: Problem: a no. when divided by 221 gives a remainder 43, what remainder will beobtained by dividingthe same no. 17 ?
Options: a. 3, b. 6, c. 9, d. 10, e. 12
[EX A]: c

[EX Q]: Problem: a student travels from his house to school at 12 km / hr and reaches school 2 hours late. the next day he travels 20 km / hr and reaches school 1 hour early. what is the distance between his house and the school ?
Options: a. 90, b. 100, c. 110, d. 120, e. 130
[EX A]: a

[EX Q]: Problem: 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
[EX A]:
d