Explanation:

Fragment A: The government classifies village as electrified if

Multiple villages are being talked about here.

Correct: The government classifies villages as electrified if

Fragment B: public buildings have electric connections and

Electric is an adjective while we need a noun here.

Correct: public buildings have electricity connections and

Fragment C: merely 10% or most of the village residences

Here, the superlative degree is incorrectly used.

Correct: merely 10% or more of the village residences

Fragment D: have connections, withheld concerns of supply

We need the present participle of withhold here-

Correct: have connections, withholding concerns of supply

All the fragments are incorrect.

Hence, option E is correct.