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Quantitative - Mathematics - Word Problems:

Number System - All NUMBERS on the Tests

MCQ - 463-13230

Question:

The sum of r consecutive positive integers will always be divisible by 2 if r is a multiple of

  1. 6
  2. 5
  3. 4
  4. 5
  5. 2

Correct Answer: C

Explanation:

The sum of r consecutive positive integers will always be divisible by 2 if r is a multiple of

1. odd + even = odd --- sum of two consecutive numbers is always odd

2. odd + even + odd = even OR even + odd + even = odd --- sum of three consecutive numbers may be even or odd

3. odd + even + odd + even = even OR even + odd + even + odd = even --- sum of four consecutive must be even.

The value of r = 4

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