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Discussion

  1. Which of the following number always divides the difference between the square of two consecutive odd numbers ?
    1. 7
    2. 3
    3. 8
    4. 6
  1. Correct Option: C

    Let the two consecutive odd numbers be 2x+1 and 2x + 3 .
    ∴ Difference = ( 2x + 3 )2 - ( 2x + 1 )2
    = ( 2x + 3 + 2x + 1 )( 2x + 3 - 2x - 1 )
    =( 4x + 4 ) x 2
    = 8 (x + 1)
    whis is exactly divisible by 8.

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