The correct answer is: D.
No errorThe sentence is grammatically correct. The word “dead” is an adjective that modifies the noun “night.” The sentence means that the thief broke into the house at a time when it was very dark.
The other options are incorrect because they contain grammatical errors. Option A is incorrect because it does not include the word “at.” Option B is incorrect because it does not include the word “the.” Option C is incorrect because it does not include the word “dead.”