CAT 1995QA Question 12

Number TheoryEasy

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

Answer & solution

Correct answer: 1 or 5

  • A

    1 or 3

  • 1 or 5

  • C

    3 or 5

  • D

    4 or 5

Solution

The best way to solve this question is by the method of simulation. Choose any prime number greater than 6 and verify the result.
When 7 is divided by 6, it gives a remainder 1. So our answer could be (a) or (b). When 11 is divided by 6, it gives a remainder 5. Hence, our answer is (b).

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CAT 1995 QA Q12: The remainder obtained when a prime number greater than 6 is divided by 6 is — Solution | TheCATExam