In the following triads, each group of letters is related to the next group…

Concept: Every triad here is built from ONE original word using two fixed operations — swapping its first two letters gives the second group, and reversing the whole word gives the third group. Both operations must hold at once for a triad to follow the stated logic.

Checking the given examples:

1. GEAR: swapping the first two letters (G and E) gives EGAR, which matches the given second group.

2. GEAR reversed letter-by-letter gives RAEG, which matches the given third group.

3. LIST: swapping the first two letters (L and I) gives ILST, and LIST reversed gives TSIL — both match the second example, confirming the rule.

Applying the rule to the options:

1. FATE: swapping the first two letters (F and A) gives AFTE, matching the second group shown.

2. FATE reversed letter-by-letter gives ETAF, matching the third group shown — so both checks hold together for this triad.

Cross-check on the other options:

• LOST - OLST - TOSL: the swap check passes (LOST becomes OLST), but the third group is not the true reverse of LOST (which is TSOL) — TOSL only swaps LOST's first and last letters while leaving the middle two letters in place, so the reversal check fails.

• LIFE - LFIE - EFIL: the reversal check passes (EFIL is the true reverse of LIFE), but the second group swaps the middle two letters (I and F) instead of the first two, so the swap check fails.

• GLOW - LGOW - LOWG: the swap check passes (GLOW becomes LGOW), but the third group is a one-place left rotation of GLOW, not its reverse (the true reverse is WOLG), so the reversal check fails.

Since FATE - AFTE - ETAF is the only option where the word satisfies both the first-two-letter swap and the full reversal at once, it follows the same logic as the given triads.