Statement-1: Agl is yellow and AgCl is white

Statement-2: As the polarisability of anion increases, HOMO-LUMO gap decreases and the compound becomes coloured. 

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1

$\mathrm{Agl}$ is yellow and $\mathrm{AgCl}$ is white because $\mathrm{Agl}$ is yellow in colour, whereas is white. . Reduced electrical conduction is the result. The polarisation rises with increasing anion size, which also enhances the compound's colour intensity. As a result $\mathrm{AgCl}$ produces a white colour and $\mathrm{Agl}$ a yellow colour. 

Hence correct option is A.