Remainders

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

  1. 1 or 3
  2. 1 or 5
  3. 3 or 5
  4. 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.