Multiple choice

When an integer x is divided by 15, the remainder is 1. What is the remainder when x is divided by 5?

  1. 1

  2. 2

  3. 3

  4. 4

  5. Cannot be determined
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A Correct answer
Explanation

x = 15k + 1. We want the remainder when x is divided by 5. x = 5(3k) + 1. The remainder is 1.

AI explanation

Since dividing the integer x by 15 leaves a remainder of 1, x can be expressed as 15k + 1. When 15k + 1 is divided by 5, the term 15k is perfectly divisible by 5. Thus, the only remaining value is 1, making it the remainder. The result is 1.

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