To determine whether precipitation will occur or not, you have to calculate Q, the reaction quotient. This is bases on the amount of each ion (Ca2+ and SO42-) are present and compare this value with the Ksp. If Q > K then pptn will occur; if Q < K pptn will not occur; if Q = K then it's at equilibrium (and a ppt will form as well. As a matter of fact, if there is a ppt, then the system is at equilibrium.)
So: [Ca2+] = (1 x 10-3n/1 L) (5 x 10-2L)/(1 x 10-1L of solution) = 5 x 10-4 M
[SO42-] = (1 x 10-2n/1 L) (5 x 10-2L)/(1 x 10-1L of solution) = 5 x 10-3 M
Q = [Ca2+][SO42-] = (5 x 10-4) (5 x 10-3) = 2.5 x 10-6
Ksp = 2.4 x 10-5 Since Q < K then NO ppt.(choice a)