I'll give you a question, please answer with step-by-step reasoning process.
When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder K when N is divided by 30?\nOptions:\n(A) (a)  4\n(B) (b)  7\n(C) (c)  11\n(D) (d)  13\n(E) (e)  17

(C)
N ends in the digit 1 because when N is divided by 10, the remainder is 1.

Since N ends in 1, the remainder K when N is divided by 30 also ends in a 1.

11 is the only choice which ends in a 1.

.

So, the final answer is (C)