Multiple choice

If a number is divided by 30, then it leaves 17 as a remainder. What will be the remainder when the same number is divided by 10?

  1. 7

  2. 3

  3. 1

  4. 2
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A Correct answer
Explanation

Let the number be N. N = 30k + 17. We want the remainder when N is divided by 10. N = 10(3k) + 10 + 7 = 10(3k + 1) + 7. The remainder is 7.

AI explanation

Let the unknown number be expressed as 30 times an integer k plus 17. When this number is divided by 10, the first part (30 times k) leaves no remainder because 30 is a multiple of 10. The remainder solely depends on dividing 17 by 10, which leaves a remainder of 7.

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