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

**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 .