Multiple choice general knowledge math & puzzles

For all three digit positive number of form AAA , where A is a digit of number, AAA/(A+A+A) is _.

  1. may vary depending on value of A

  2. equal to 37

  3. greater than or equal to 37

  4. less than or equal to 37

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B Correct answer
Explanation

Any three-digit number AAA can be written as 100A + 10A + A = 111A. The sum of the digits is A + A + A = 3A. Dividing 111A by 3A (where A is not zero) results in 111/3, which is exactly 37. This value is constant regardless of the digit A.