Select the rate law that corresponds to data shown for the following reaction A + B $\to$ products. 

From data 1 and 3, it is clear that keeping (B) constant, [A] is doubled, rate remains unaffected. 

Hence rate is independent of [A]. From 1 and 4, keeping [A] constant, [B] is doubled, rate become 8 times. Hence rate $\propto {\left[\mathrm{B}\right]}^3$.