In the given question, the word ‘brusquely’ refers to something or someone marked by rude or peremptory shortness.
Let us analyze the choices given to us during this question:
Option (a.), 'quickly', refers to doing something with speed.
Therefore, option (a.) is wrong as its meaning isn't synonymous thereto of the given word ‘brusquely’.

Option (b.), ‘gently', refers to doing something with little weight or force.
Therefore, option (b.) is wrong as its meaning isn't synonymous thereto of the given word ‘brusquely’.

Option (c.), ‘nonchalantly', refers to someone in a very composed and unconcerned manner.

Therefore, option (c.) is inaccurate as its meaning isn't synonymous to it of the given word ‘brusquely’.

Option (d.), ‘abruptly', refers to quickly and unexpectedly.
So, the proper answer is “Option d”. as its meaning is synonymous to it of the given word ‘brusquely’.



Note: If you don’t know the definition of the given word and have only used it in some given context previously, then use the given word in an exceedingly sentence. Substitute the given word with each word within the options and choose the word which doesn't conflict with the context provided by the given word.