Answer:
The last sentence: 'The scholarship committee approved the plan.' avoids noun conversion.
Explanation:
All the sentences mentioned has some action part or you can say 'verb' hidden in them. Whereas, only the last sentence is free from any verb.
As if you see the first sentence; it mentions: 'will give consideration to', or the second; 'worked on establishment of', have the action part in them. Similarly the third; 'will be responsible for acquisition of' has verb defined.
So as Verb is defined as the 'state of being' or something 'which shows action'; therefore, it is the last sentence that is free from action part and avoids noun conversion.