No sooner ---- the rocket cleared the launch tower than telemetry engineers ---- an anomalous vibration in the booster.

Answer and explanation

Correct answer: C. had / detected

  1. Step 1: The correlative negative temporal construction 'No sooner had + subject + past participle ... than + past simple' requires inversion and past perfect.
  2. Step 2: 'No sooner had the rocket cleared ... than engineers detected'.
Answer
had / detected.
Why not the others: 'did / have detected' violates the standard 'no sooner had ... than' idiom; 'has / were detecting' mixes present and continuous; 'would' is modal.

Practise more Advanced Grammar, Clauses and Connectors.

Free questions with an explanation for every one, and full timed YDS (Yabancı Dil Bilgisi Seviye Tespit Sınavı) mock tests.