Question

product of the predecessor and successor of an odd natural number is always divisible by . . . .
a.2 b.4 c.6 d.8​

Answer 1

Answer:

2

Step-by-step explanation:

it is because if you experiment for ex.

let's take 5

so predecessor is 4 and successor is 6

product will be 24 an even no. hence divisible by 2 you can try it with any other no. if you want verification.

Answer 2

Answer:

4(b option)

Step-by-step explanation:

let the odd natural number be (2x+1)

its predecessor is (2x)

its successor is (2x+2)

product of predecessor and successor is,

2x(2x+2)

= 4x²+4x

= 4(x²+x)

so, the product will always be divisible by 4.