Multiple choice

How many integers between 10 and 20, both inclusive, leave a remainder of 1 or 2 when divided by 3?

  1. 9

  2. 8

  3. 7

  4. 4

  5. 10
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B Correct answer
Explanation

The integers are 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20. Dividing by 3, the remainders are: 10(1), 11(2), 12(0), 13(1), 14(2), 15(0), 16(1), 17(2), 18(0), 19(1), 20(2). Counting those with remainder 1 or 2 gives 8 numbers.

AI explanation

Check each integer from 10 to 20 inclusive to see if dividing by 3 leaves a remainder of 1 or 2. The qualifying numbers are 10, 11, 13, 14, 16, 17, 19 and 20. Counting these gives a total of 8 integers. There are 8 integers in this range that leave a remainder of 1 or 2 when divided by 3.

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