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.
Add Comment
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.
Add Comment

Your Answer

By posting your answer, you agree to the privacy policy and terms of service.