Multiple choice

The greatest number of 3 digits and the least number of 4 digits that have 12 as their HCF are

  1. (996, 1008)

  2. (998, 1006)

  3. (992, 1002)

  4. (998, 1008)
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A Correct answer
Explanation

The greatest 3-digit number divisible by 12 is 996 (since 1000/12 is 83.33, 12*83 = 996). The least 4-digit number divisible by 12 is 1008 (since 1000/12 is 83.33, 12*84 = 1008).

AI explanation

The greatest 3-digit number is 999, and dividing it by 12 gives a remainder of 3, so we subtract 3 to find the greatest 3-digit multiple of 12, which is 996. The smallest 4-digit number is 1000, and dividing it by 12 gives a remainder of 4, so we add 8 to reach the next multiple of 12, which is 1008. The required numbers are 996 and 1008. The pair is (996, 1008).

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