WHAT IS THE PERIOD OF OSCILLATION OF A MASS OF 5KG ATTACHED TO FOUR SPRINGS WITH SPRING CONSTANT OF 20N/m EACH SPRING?

That will depend upon whether the springs are connected in series (end to end) or in parallel. The effective spring constant K 100 N/m ifthey are in parallel, and 4 N/m if hey are in series.

The period of oscillation is
P = 2 pi sqrt(M/K)