Fill in the blank with the most appropriate preposition: The director insisted _____ absolute silence during the rehearsal.
on
The blank must take the preposition that idiomatically follows the verb 'insist', so this is a fixed collocation test.
A collocation is a habitual pairing of words fixed by usage, and the verb 'insist' regularly pairs with 'on' when someone firmly demands something.
Thus 'insisted on absolute silence' correctly conveys that the director firmly demanded silence during the rehearsal.
'Insist at' and 'insist over' are not standard English pairings and sound wrong to a native ear.
'Insist with' can appear only in the sense of pressing a person, not demanding a thing, so it does not fit 'silence' here.
Therefore the most appropriate preposition is on.
Fill in the blank with the most appropriate preposition:
The delegates conferred _____ the issue for several hours before reaching consensus.
The following sentence has two blanks. Choose the most suitable set of prepositions from the given options to fill in the blanks and complete the sentence meaningfully:
She was reprimanded _____ being late and warned _____ further delays.
Fill in the blank with the most appropriate preposition:
He was accused ______ misappropriating company funds.
A policeman was asked to chase a thief. Before the policeman started the chase, he realised that the thief was 200 metres ahead of him and was running at a speed of 16 km/h. The policeman started the chase at a speed of 20 km/h. How far will the thief run before he is overtaken by the policeman?