Multiple choice

Ria thinks of a number 5534. What will be the remainder if this number is divided by 3?

  1. 0

  2. 1

  3. 2

  4. Cannot be determined

  5. None of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

55 is congruent to 1 mod 3. Therefore, 55^34 is congruent to 1^34 mod 3, which is 1.

AI explanation

To find the remainder of a number divided by 3, apply the divisibility rule which states that the remainder is the same as the remainder of the sum of the digits. For the number 5534, the sum of the digits is 5 + 5 + 3 + 4 = 17. When 17 is divided by 3, the remainder is 1.

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