Q. 335.0( 1 Vote )

The greatest number which always divides the product of the predecessor and successor of an odd natural number other than 1 is
A. 6

B. 4

C. 16

D. 8

Answer :

Let a be a odd natural number


Predecessor (number before) = a - 1 = 2× b (a even number)


Successor (number after) = a+1 = 2× c (a even number)


Since,


The product of the predecessor and successor of an odd natural n


= (2× b) × (2× c)


= 4× b× c


Hence, the largest dividing number is 4

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.