The remainder obtained when a prime number greater than 6 is divided by 6 is

- 1 or 3
- 1 or 5
- 3 or 5
- 4 or 5

**Answer**

To solve this question, you can take an example.

Prime numbers greater than 6 are 7, 11, 13, and so on.

When 7 is divided by 6, remainder is 1.

When 11 is divided by 6, remainder is 5.

Similarly, when 13 is divided by 6, remainder is 1.

The remainder obtained is either 1 or 5.

**The correct option is B.**