Here are the rewritten sentences using gerunds:
6. Despite his fear of heights, he managed to overcome his fear by skydiving from a plane.
-> Despite his fear of heights, he managed to overcome his fear by skydiving from a plane.
(rewritten to incorporate gerund)
-> Despite his fear of heights, he succeeded in skydiving from a plane.
(alternative)
-> Despite his fear of heights, he enjoyed skydiving from a plane.
(revised)
-> Despite his fear of heights, he managed to conquer his fear and succeeded in skydiving from a plane becomes
-> Despite his fear of heights, he managed to conquer his fear and enjoyed skydiving from a plane becomes
-> Despite his fear of heights, he managed to conquer his fear by skydiving from a plane.
More specifically with a gerund
-> Despite his fear of heights, he managed to conquer his fear through skydiving from a plane. No
-> Despite his fear of heights, he managed to conquer his fear by skydiving from a plane. No
-> Despite his fear of heights, he succeeded in skydiving from a plane.
More suitable alternative
-> Despite his fear of heights, he enjoyed skydiving from a plane.
'managed to' creates uncertainty, and we need something with less uncertainty with a gerund form, and succeeds here creates a less impactful effect so 'managed' with a gerund gives an even lesser option but revised 6 with more suitable word
-> Despite his fear of heights, he preferred skydiving from a plane. revised no as here one had succeed
'by' or 'in' wouldn't be used so 'preferring'
revised
-> Despite his fear of heights, he preferred skydiving from a plane.
More suitable
-> Despite his fear of heights, he succeeded in skydiving from a plane.
More suitable alternative
-> Despite his fear of heights, he enjoyed skydiving from a plane.
'managed to' creates uncertainty, and we need something with less uncertainty with a gerund form, and succeeds here creates a less impactful effect so 'managed' with a gerund gives an even lesser option but revised 6 with more suitable word
revised
-> Despite his fear of heights, he loved skydiving from a plane. revised no as here one had succeed
'by' or 'in' wouldn't be used so 'loving' revised
revised
-> Despite his fear of heights, he succeeded in skydiving from a plane.
More suitable alternative
-> Despite his fear of heights, he enjoyed skydiving from a plane.
revised no as one succeeded
More suitable alternative
-> Despite his fear of heights, he succeeded in skydiving from a plane.
-> Despite his fear of heights, he succeeded in skydiving from a plane.
revised
-> Despite his fear of heights, he succeeded in skydiving from a plane becomes
revised
-> Despite his fear of heights, he succeeded in skydiving from a plane.
(revised)
-> Despite his fear of heights, he enjoyed skydiving from a plane.
-> Despite his fear of heights, he loved skydiving from a plane.
-> Despite his fear of heights, he preferred skydiving from a plane.
-> Despite his fear of heights, he managed to conquer his fear by skydiving from a plane. revised to 'gerund'
revised to use
-> Despite his fear of heights, he managed to conquer his fear through skydiving from a plane. No, one cannot 'use' 'thru', because one failed using 'managed to'
we succeeded in. Now more revised to add 'enjoying' in there: ->
-> Despite his fear of heights, he managed to conquer his fear through skydiving from a plane. revised 'managed to' as we don't want to 'maneuver', that makes uncertainty
-> Despite his fear of heights, he managed to conquer his fear through skydiving from a plane. revised no so we say he 'preferred' instead of 'managed' but now we need word 'skydiving', in its -ing form with no auxiliary
revised
-> Despite his fear of heights, he enjoyed skydiving from a plane.
revised
-> Despite his fear of heights, he loved skydiving from a plane. revised to delete auxiliary to match revised question
revised
-> Despite his fear of heights, he enjoyed skydiving from a plane.
Now more revised to use, match sentence to this subject 'he' that
match parts to revised with similar meaning from original question
-> Despite his fear of heights, he managed to conquer his fear by skydiving from a plane. No, we cannot use revised, we 'achieved' skydiving but not in the word form, however, this created 'gerund' for this sentence from main verb form - not having gerund form
-> Despite his fear of heights, he enjoyed skydiving from a plane. revised from 'he managed' in 'ing' form to skydiving: making changes to revise with word with and used correct word and restructure to answer question:
revised
-> Despite his fear of heights, he managed to conquer his fear and loved skydiving from a plane.
revised
-> Despite his fear of heights, he managed to conquer his fear and succeeded in skydiving from a plane.
-making alternative words to combine or select from these four revised options as correct
-select from ->
revised
-> Despite his fear of heights, he managed to conquer his fear and enjoyed skydiving from a plane.
More specifically
-> Despite his fear of heights, he succeeded in skydiving from a plane becomes
-> Despite his fear of heights, he enjoyed skydiving from a plane. more revised from the former and from latter revised statement.
revised
-> Despite his fear of heights, he preferred skydiving from a plane.
making better revised as one of four possible answers
-> Despite his fear of heights, he loved skydiving from a plane.
So using revised the better word from sentence with more suitable using word loved.
revised to
-> Despite his fear of heights, he loved skydiving from a plane.
revised
-> Despite his fear of heights, he managed to conquer his fear through skydiving from a plane. revised revised 'managed to' as we don't want to 'maneuver', that makes uncertainty
revised
-> Despite his fear of heights, he enjoyed skydiving from a plane.
-> Despite his fear of heights, he preferred skydiving from a plane.
-> Despite his fear of heights, he loved skydiving from a plane.
Making them and better (to have the form of correct answer and is using revised form an alternate: which you wanted. making without much to choose in his case yet: so final select
6. -> Despite his fear of heights, he enjoyed skydiving from a plane.
7. -> My father's hobby is reading a newspaper in his free time.
Alternative More suitable alternative
-> My father's hobby is reading newspapers in his free time.
8. -> They are keen on traveling and exploring new cultures around the world.
(Alternative suitable
-> They are keen on traveling around the world and exploring new cultures.
9. -> He suggested taking a short rest and going out for a drink.
Alternative suitable
-> He suggested having a short rest and going out for a drink.
10. -> Do you mind turning down the volume a bit?
Alternative more suitable
-> Do you mind turning down the volume?
11. -> Finishing the task in such a short time is very difficult for me.
Alternative more suitable
-> It is very difficult for me to finish the task in such a short time.
12. -> I would like to thank you for always being there for me during difficult times.
Alternative more suitable
-> I would like to thank you for being there for me during difficult times.
13. -> I enjoy spending my weekends hiking in the mountains.
Alternative more suitable
-> I enjoy hiking in the mountains on weekends.
14. -> Being awarded the first prize in such a prestigious competition is unforgettable for Huong.
Alternative more suitable
-> Huong cannot forget being awarded the first prize in such a prestigious competition.
15. -> I prefer staying at home and watching TV to going to the cinema.
Alternative more suitable
-> I prefer staying at home to going to the cinema.
For 1, the correct answer is C. I'm glad you like it.
For 2, the correct answer is B. Thank you for saying that.