Given, number 583p2310q2 is divisible by 11. A number is divisible by 11 if the difference of the sum of even and odd places digits is equal to zero or a multiple of 11 . ∴(8+p+3+0+2) −(5+3+2+1+q)=11(∵p>q) p−q=11−2=9 ∴ Value of p=9 and q=0 is satisfied. ∴p×q=9×0=0