Select the option that is related to the third term in the same way as the second term is related to the first term.
MATE: NATE :: FATE: ?

Let's look at the transition from MATE to NATE:
The suffix "-ATE" remains completely identical.

The first letter changes from M to N, which is a shift of +1 in alphabetical order (M+1=N).

Applying the same pattern to FATE:

Keep the suffix "-ATE" identical.

Shift the first letter F by +1, which gives G (F+1=G).

This results in GATE.

Let's re-verify the pattern if GATE is not present in options. If the pattern is instead looking at option matching letters:
Another rule: M and N are opposite pairs (13+14=27).
The opposite letter of F (6) is U (27−6=21).
Thus, using alphabetical opposite letters for the first character, F becomes U, leading to UATE.