Multiple choice

The same remainder is obtained when 40,258 and 40,718 are divided by a 3-digit number. What could be the number?

  1. 115

  2. 230

  3. 460

  4. Any of the above.
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D Correct answer
Explanation

If the same remainder is obtained, the difference between the numbers (40718 - 40258 = 460) must be divisible by the divisor. The divisors could be any factor of 460. Since 115, 230, and 460 are all factors of 460, any of them could be the 3-digit number.

AI explanation

Using the common remainder property, the 3-digit number must perfectly divide the difference of the two given numbers. The difference is 40718 - 40258 = 460. The 3-digit factors of 460 are 115, 230 and 460. Therefore, any of these three numbers could be the required divisor.

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