Multiple choice

When an integer n is divided by 5, the remainder is 3. What is the remainder if 8n is divided by 5?

  1. 1

  2. 2

  3. 4

  4. 3
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C Correct answer
Explanation

n = 5k + 3. Then 8n = 8(5k + 3) = 40k + 24. 24 divided by 5 leaves a remainder of 4.

AI explanation

Using the division algorithm, let the integer n be 5k + 3 for some whole number k. Multiplying this by 8 gives 8n = 40k + 24. When 24 is divided by 5, the remainder is 4. Therefore, the required remainder is 4.

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