Which among the following pair of words carry the same relationship as:

ANTIQUE : MODERN

DEFICIENT : AMPLE

The correct answer is Option (3) → DEFICIENT : AMPLE

The relationship between ANTIQUE : MODERN is that of opposites (antonyms).

• Antique refers to something old,
• Modern refers to something new or contemporary.

Now, let's analyze the given options:

• ETERNAL : IMMORTAL → Not opposite; both words mean something that lasts forever.
• MAMMOTH : ENORMOUS → Not opposite; both mean something very large.
• DEFICIENT : AMPLE → Opposites;
  • Deficient means lacking or insufficient.
  • Ample means abundant or more than enough.
• GLOOM : DARKNESS → Not opposite; both have similar meanings related to lack of light or sadness.

Thus, the correct answer is DEFICIENT : AMPLE