In a Fermi transition, the angular momentum of the parent nucleus and the daughter nucleus will be the same.

In a Gamow-Teller transition, the angular momentum of the parent nucleus and the daughter nucleus may be the same, or may change by unity.

If the angular momentum of the parent and daughter is 0, the transition is pore fermi, and if the angular momentum change is 1, it is pure Gamow-Teller transition. For any other case, that satisfies the above conditions, the transition is mixed

For the first forbidden decay, the change in angular momentum can be 0,1 or 2. This is characterized by a change in parity.

In the second forbidden decay the change in angular momentum can be 2 or 3, and there is no parity change.

In the third forbidden decay the change in angular momentum can be 3 or 4, and there is parity change.

In the fourth forbidden decay the change in angular momentum can be 4 or 5, and there is no parity change.

With these, the following transitions are

a) Here, \Delta l =0  and parity does not change. The angular momentum of parent is not equal to zero. So, this is a Mixed Fermi and Gamow-Teller decay

b) Here, \Delta l =0  and parity does not change. The angular momentum of parent is equal to zero. So, this is a Pure Fermi decay

c) Here, \Delta l =0  and parity does not change. The angular momentum of parent is not equal to zero. So, this is a Mixed Fermi and Gamow-Teller decay

d) Here, \Delta l = 2 and parity does not change. So, this is a Second forbidden decay

e) Here, \Delta l = 3 and parity changes. So, this is a Third forbidden decay

f) Here, \Delta l = 1 and parity changes. So, this is a First forbidden decay

g) Here, \Delta l = 4 and parity does not change. So, this is a Fourth forbidden decay