Final answer:
The nearest antonym for the word 'cogitating' is 'ignoring'.
Step-by-step explanation:
The nearest antonym for the word 'cogitating' is c) Ignoring. Cogitating means to think deeply or ponder, while ignoring means to pay no attention to or disregard. These two words have opposite meanings, making 'ignoring' the best choice as an antonym for 'cogitating'.