By which of the following numbers the difference between the squares of the two consecutive odd numbers is always divisible?

  1. 3
  2. 6
  3. 7
  4. 8
Anurag Mishra Professor Asked on 17th December 2015 in Maths.
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  • 1 Answer(s)

    Answer:  (4) 8 

    Explanation:-
    Let the two consecutive odd number be  7 and 9 

    Then the square of 7 = 7 x 7 
     = 49
    And the square of 9 = 9 x 9 
     = 81

    Now, difference between the square of 7 and 9 = 81 – 49
     = 32

    32 is divisible by 8. 

    Then the difference between the square of the two consecutive odd numbers is always divisible by 8. 

    Hence, the correct answer is option (4) 8 . 

    Anurag Mishra Professor Answered on 17th December 2015.
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