Step 1: Understanding the Question:
This question tests knowledge of insect reproduction.
Step 2: Detailed Explanation:
Cockroaches lay eggs in an ootheca (an egg case).
The ootheca contains multiple eggs and is deposited in a protected area.
Silver fish (A): Lays eggs singly.
Grasshopper (B): Lays eggs in pods (not ootheca).
Mole cricket (C): Lays eggs in a chamber (not ootheca).
Thus, cockroaches lay eggs in an ootheca.
Step 3: Final Answer:
Thus, eggs are laid in an ootheca by cockroaches, which corresponds to option (D).
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