The correct option is C Sentimental
The word 'weary' means 'to feel or show extreme tiredness, often due to exertion'. For example, 'Running after my dog has made me weary.'
From the options, 'tired' means the same: 'in need of sleep or rest'. Consider: 'Running after my dog has made me tired.'
Similarly, 'fatigued' means 'to cause or feel exhausted'; ('Running after my dog fatigued me.) and 'exhausted' means 'very tired'. Hence these are all synonymous to 'weary'.
We need to choose the option that is not synonymous. Hence options A, B and D are incorrect.
'Sentimental' refers to an emotion, 'having or arousing feelings of tenderness, sadness or nostalgia'. Sentimental is used for describing a person's emotions, whereas 'weary' refers to a state of the body or mind. Hence 'sentimental' does not mean the same as the given word and option C is correct.