When N is divided by 10 the remainder is 1 and when

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 when N is divided by 30?

1. 13
2. 3
3. 11
4. 6.
5. 17

TAKEAWAY:
to generate lists of NUMBERS THAT HAVE REMAINDER "R" UPON DIVISION BY "D":
just take MULTIPLES OF "D" and ADD "R" to them.

so:
numbers that have remainder = 1 upon division by 10:
1, 11, 21, 31, 41, 51, ...
numbers that have remainder = 2 upon division by 3:
2, 5, 8, 11, 14, 17, ...

you don't have to go very far (11) to find the first example.
the remainder when you divide 11 by 30 is 11**, so the answer is (c) 11.