CAT 2003 - RetakeQA Question 27

Number TheoryEasy

What is the remainder when 496 is divided by 6?

Answer & solution

Correct answer: 4

  • A

    0

  • B

    2

  • C

    3

  • 4

Solution

41 mod 6 = 4
42 mod 6 = 4
43 mod 6 = 4
44 mod 6 = 4

That is, 4n (n being any positive integer) when divided by 6, will always give the remainder 4.

Hence, option (d).

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CAT 2003 - Retake QA Q27 — Number Theory solution | TheCATExam