The answer is none of above.What is sum of five odd numbers

a)Even

b)divisible by three

c)divisible by 5

d)a prime number

e)non of the above

But i think the answer should be divisible by 5 because:

sum of x,x+2,x+4,x+6,x+8 is 5x + 20 which is always divisible by 5. Could anyone tell me what i am doing wrong here?