**Correct Option (d) 1.125 x 10**^{2}L^{2} mol^{-1}sec^{-1}

**Explanation: **

From data (1) and (2) we observe that

On doubling the concentration of A, rate become four times

:. order w.r.t A = 2

From data (2) and (3) we observe that

On making the concentration of B to one half, rate also become one half.

:. order w.r.t B = 1

overall order = 3

As only (d) option have unit of rate constant corresponds to third order.