Step 1: Understanding the Concept:
Weeds can propagate through various vegetative structures like rhizomes, stolons, tubers, etc.
A rhizome is a modified stem that grows horizontally underground.
Step 2: Key Approach:
Identify which of the given weeds reproduce via rhizomes.
Step 3: Detailed Explanation:
(A) Agropyron repens (couch grass) spreads through rhizomes.
(B) Cyperus rotundus (nut grass or purple nutsedge) propagates through rhizomes and tubers.
(C) Circium arvense (creeping thistle) propagates through seeds and creeping roots, but not primarily through rhizomes.
(D) Cynodon dactylon (Bermuda grass or durva) spreads through rhizomes and stolons.
Thus, (A), (B), and (D) propagate through rhizomes.
(C) is incorrect.
Therefore, the correct answer is (A), (B) and (D) only.
Weeds with rhizomes are difficult to control as they can regenerate from fragments.