The correct option is B trying
The best fit for both the sentences is Option B, Trying. Trying is used as an adjective to mean that something is annoying and difficult. The context of sentence I is that the person had a very trying time during his sickness. Trying is also a verb which means to make an attempt or to try. This is the context of second sentence that Kanti's father advised him that IAS is a career worth trying for. Option A 'competing' means striving against one another to win something. Option C 'intending' means planning for a purpose. Option D 'contending' means to assert or say that something is true. Option E 'experimenting' means trying new ideas or methods to determine something. All of these options A, C, D and E do not fit in for both the sentences together. So, the best fit for both the sentences I and II is option B, Trying.