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(d) The word 'elusive' has been correctly used (as an adjective) in statement II, where it means 'difficult to remember'. The word 'elusive' has also been correctly used (as an adjective) in statement III, where it means 'difficult to find, catch, or achieve'. However, the usage of the word 'elusive' is incorrect in statement I; it has been used in parallel with the word 'mysterious' (in combination with the conjunction 'and'); thus, the other word must also give a similar meaning; thus, the correct word to be used in the sentence is 'illusive', which means 'deceptive; based on illusion'. Hence, option (d) is the correct answer.
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