Option 1 -> Incorrect matching: "bear up" means endure hardship, not tolerate mood swings; "bear out" means confirm facts, not used for hardship.
Option 2 -> Incorrect matching: "bear out" (confirm/support) doesn't fit with tolerating mood swings; "bear down" isn't appropriate for enduring hardship.
Option 3 -> Correct matching: "bear with" (be patient with) for mood swings, "bear down" (overcome forcefully) for armed forces, "bear up" (endure) for hardship, "bear out" (confirm/support) for facts.
Option 4 -> Incorrect matching: "bear down" doesn't mean tolerate; "bear with" (be patient) doesn't fit armed forces context; other matches are wrong.
Hence, Option 3: (A) - (IV), (B) - (I), (C) - (II), (D) - (III) -> "Bear with" means to be patient/tolerate (mood swings), "bear down" means to overcome with force (opposition), "bear up" means to endure/stay strong (against hardship), and "bear out" means to confirm/support (facts) -> correct