Seek out vs. find out

[Jun]

Test No. incompl/inter-6 "The Farmer and his Sons", question 6

The sons assured their father that they would work hard to ......... out the treasure.

(a) find
(b) sort
(c) seek
(d) try

Test No. incompl/inter-6 "The Farmer and his Sons", answer 6

The sons assured their father that they would work hard to seek out the treasure.

Correct answer: (c) seek

Your answer was: incorrect
The sons assured their father that they would work hard to find out the treasure.
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Hi, this is the first time to make a question.

Can't you say "find out the treasure" in this sentence?

[Alan]

Seek out means try very hard to find someone or something but Find out is discover something like an answer in the sense of solve.
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English as a Second Language
You can read my ESL story A day in the life of a policeman