A number when divided by 18 leaves a remainder 2. What is the remainder when the same number is divided by 6?

Correct option is A

Given:

The number leaves remainder 2 when divided by 18.
So, the number can be written as: N = 18k + 2, for some integer k.

Formula Used:
To find remainder when a number of the form N = 18k + 2 is divided by 6, use modular arithmetic.

Solution:
N = 18k + 2
Now, find N mod 6:
N mod 6 = (18k + 2) mod 6
= (18k mod 6) + (2 mod 6)
= (0) + 2 = 2

Final Answer: 2