Solutions
The first sentence of a paragraph introduces a topic. The second sentence usually provides more information about the first.
Here, the first sentence talks about Goyal's decision of stepping down; while only sentence T talks about how it was rumoured to happen for some time.
So, T must be the second sentence.
The third sentence must logically follow the second. Here, sentence P refers to the rumours mentioned in T with 'there were an equal number'.
So, P must be the third sentence.
The fifth must follow further from the fourth sentence. Fourth sentence talks about Goyal 'trying everything'; while only sentence R talks about 'his efforts not bearing any fruits.'
So, R must be the fifth sentence.
Sixth and seventh sentences would follow the earlier sentences, with the last giving some kind of conclusion to the above sentences.
Out of the remaining sentences Q and S, Q talks about his global relations while S talks about how this 'clout' could not help him, leading to his eventual fate (a conclusion).
So, Q must be the sixth sentence while S is the last sentence of the paragraph.
The correct order is: TPRQS or 1TP4RQS.
Therefore, the correct answer is 5.