The correct option is
C would... could... can'tOption C: 'Would' expresses condition. It presents the hypothetical situation 'I would if I could'.
'Could' is the past tense of 'can'. Both refer to possibility.
The sentence contains three clauses:
'I would', 'if I could', 'but I can't'
The first is the probable result, based on the condition 'if I could'.
The sentence means: I would if I was able to help, but at present I do not possess the ability to help you.
The meaning is complete and hence option C is correct.
Option A: 'I will if I can' does not present any condition. 'Will' presents a future, real action and does not express condition.
Option B: 'May' expresses 'permission' and 'can' expresses 'possibility'. 'But I couldn't' is in past tense, stating an action that has already happened. The meaning hence formed is ambiguous.
Option D: 'Shall' refers to a future action. 'Will' also refers to a future action. None of these words express the condition, put forth by the word 'if'.
Hence options A, B and D are wrong.