Correct Answer - B
We take option `(a) : x^(3)-8x^(2)+19x-12=0`
`implies(x-1)(x^(2)-7x+12)=0`
`implies(x-1)(x-3)(x-4)=0`
`impliesx=1,3,4`
Thus, it is not a set of elements as odd positive integers.
`(b)x^(3)-9x^(2)+23x-15=0`
`implies (x-1)(x^(2)-8x+15)=0`
`implies(x-1)(x-3)(x-5)=0`
`implies x=1, 3, 5`
Thus, S will be a set of elements as odd positive integers.