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  • Number Theory (SAT)
  • Which of the following can be expressed as the sum of thr...
Multiple choice

Which of the following can be expressed as the sum of three consecutive positive integers?

  1. 18

  2. 37

  3. 40

  4. 56

  5. 65

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A Correct answer
Explanation

Let three consecutive positive integers are (a – 1), a, (a + 1), their sum is 3a. As a is the middle number and is an integer. So the sum must be divisible by 3. Out of given choices only choice (1) is a multiple of 3.

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