Swear vs. admit

[Guest]

Test No. incompl/inter-22 "Cross Questions", question 6

Mike: Honestly, I did hear that kind of noise, I ..........

(a) swear I did
(b) assure I did
(c) adjure I did
(d) advise I did

Test No. incompl/inter-22 "Cross Questions", answer 6

Mike: Honestly, I did hear that kind of noise, I swear I did.

Correct answer: (a) swear I did

Your answer was: incorrect
Mike: Honestly, I did hear that kind of noise, I assure I did.
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Hi, could you please tell me what's the difference between swear and admit? Thank you.

[Alan]

Hi,

Admit simply means confess or allow the fact that you have done something. Swear is much stronger in meaning and indicates that you confirm something is true and you support this by using the name of a deity or god.

Alan
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English as a Second Language
You can read my ESL story New year resolutions

[Saneta]

why can't it be ,, assure I did''? thanks