Vyshak wrote:

Phds only + Masters only + Both = 80.

Phds only + Both = ?

St1: (1/3)Masters = Both --> Clearly insufficient.

St2: (1/2)Phds = Both --> Clearly insufficient.

Combining St1 and St2, Masters = (3/2)Phds

(3/2)Phds + (1/2)Phds = 80 --> Phds = 40.

Sufficient.

Answer: C

Hey quick question- how did you get 3/2? What is the formula/ logic? I created a two circle venn diagram where A intersection B equals 1/2x and B (master's) equals 1/3? Did you divide 1/3 by 1/2? How did you know how to do this? I know it actually solves the question, after plugging in values in a different scenario, but still don't understand how you knew how to do that.