Bunuel wrote:

In a certain high school, how many seniors are enrolled in both AP calculus and AP statistics?

(1) 45 seniors are enrolled in AP calculus.

(2) 60 seniors are enrolled in either AP calculus or AP statistics or both

According to the sets formula for 2 overlapping sets A & B

A + B - both AB + none = Total.

Here we are to find "both AP calculus and AP statistics"

(1) AP calculus = 45. This does not tell us about AP statistics or overlap.

Not suff(2) 60 seniors are enrolled in either AP calculus or AP statistics or both...

meaning total - none = 60AP calc + AP stat - both = 60 ..

Not suff as we dont know both AP calc & AP stat

(1) + (2) together : 45 + AP stat - both = 60

Not suff as we don't know how many are enrolled in AP stat.

Hence

Option (E) is correct.

Best,

Gladi