Let 'g' be the number of glazed doughnuts and let 'n' be the total number of doughnuts.

Thus, we need to find the value of (g / n).

Statement 1:

After the first glazed doughnut is selected, the number of remaining glazed doughnuts = (g - 1)

Number of remaining total doughnuts = (n - 1)

Thus this statement tells us that (g - 1)/(n - 1) = 2/5 => (5g - 5) = (2n - 2) =>

5g = 2n + 3As there are two unknowns, we cannot get a value for (g/n). INSUFFICIENT.

Statement 2: g = 5

This does not give a value for n. So INSUFFICIENT.

Combining these two statements, we have the value of 'g' from (2), which can be substituted in the equation obtained from (1) to find the value of 'n'.

Thus, we can find out (g/n). SUFFICIENT.

_________________

Consider KUDOS if you feel the effort's worth it