Which of the following sentences is correctly formed?

The correct answer is Option (3) → Kartik could not finish the maths paper in time, and neither could Aman.

Short addition with “neither”:

• To add a second person to a negative sentence, we use neither + helping verb + subject. The helping verb matches the one in the first part.
• The first part has “could not”, so the addition is “neither could Aman”. It means Aman also could not finish.

Why the Other Options are Incorrect?

Option 1: The kite got stuck on the electric wire, so Arif pulled down it with a long stick. — Incorrect. The option says “pulled down it”. When the object of “pull down” is a pronoun, the pronoun goes between the two words.
Corrected: The kite got stuck on the electric wire, so Arif pulled it down with a long stick.

Option 2: Neel’s new spectacles have the same frame like his father’s. — Incorrect. The option says “the same frame like”. When two things are compared, “the same” is followed by “as”.
Corrected: Neel’s new spectacles have the same frame as his father’s.

Option 4: The passengers could not find no seats in the crowded coach. — Incorrect. The option says “could not find no seats”. One negative word is enough. With “not”, we use “any”.
Corrected: The passengers could not find any seats in the crowded coach.