Meaning of "wearing many hats"

English as a Second Language English Teacher Explanations (ESL Tests)
1

Test No. [color=blue]incompl/advan-41 “Talking through his hat”, question 10

In his present job there are so many different responsibilities involved that he has to … several hats.

(a) take
(b) put
(c) wear
(d) dress

Test No. [color=blue]incompl/advan-41 “Talking through his hat”, answer 10

In his present job there are so many different responsibilities involved that he has to wear several hats.

Correct answer: (c) wear

Your answer was: n/a
[size=200]_________________________[/size]

hello,
" to wear several hats" means “to undertake much work”. Am I right?
thank you

2

Yes, that’s what it means in a sense - doing a lot of work. It suggests that the person wearing many hats has a lot of different responsibilities and with each change of hat almost becomes a different person.