Explanation:

Correct Answer is (e).Statement I: This is actually the roundabout way of saying that he will not be able to make it to the meeting.
In this sentence, ‘round’ means saying something in another manner so as to serve any purpose and hence, it is absolutely correct.
Statement II: The President of the Club is coming round after the severe illness for almost a year.
In this sentence, ‘come round’ means to be cured of some illness and that is why it is also correct.
Statement III: The examination is round the corner and the students are still not serious about it.
In this sentence, it implies that the examination is ensuing but the students are not taking it seriously still. So, this is also correct.
This makes Option E the right choice among the given options.