Total number of cars = cars with antilock + cars with auto transmission + cars with both antilock and auto transmission + cars with neither antilock nor auto transmission

Question: How many cars had auto transmission but not antilock brakes?
i.e Find the difference of cars that had auto transmission and cars that have both antilock and auto transmission.

Statement 1: All of the cars that had antilock brakes also had auto transmission.
Antilock = both
25 = (both + auto transmission) - (both + neither)
25 = auto transmission + neither
The information provided is not enough to evaluate auto transmission - both to get the value of cars with auto transmission but no antilock brakes. Hence, statement 1 is NOT SUFFICIENT.

Statement 2: Two of the cars had neither auto transmission nor antilock brakes.
Therefore, statement 2 is NOT SUFFICIENT.

Combining the 2 statements together;
25 = auto transmission + neither
neither = 2
So, auto transmission = 25 - 2 = 23.
But the value or both and or antilock is still unknown. Therefore, we cannot evaluate auto transmission - both/
Hence, the two statements together are NOT SUFFICIENT.

Answer = option E