Does hysterically mean funny?

[Stupy]

English Language Tests, Intermediate level

ESL/EFL Test #187 "Idioms and expressions with 'just': 'just about', 'just before'", question 6

......... the guy behind us leaned over and said, almost hysterically happy, "That's one terrific baby you've got there!"

(a) Just about
(b) Just the thing
(c) Just then
(d) Just over

English Language Tests, Intermediate level

ESL/EFL Test #187 "Idioms and expressions with 'just': 'just about', 'just before'", answer 6

Just then the guy behind us leaned over and said, almost hysterically happy, "That's one terrific baby you've got there!"

Correct answer: (c) Just then
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Does hysterically mean funny?

[Beeesneees]

Someone who is hysterical is in a state of uncontrolled excitement, anger, or panic. In this case the man is so happy that he can barely maintain control of his emotions.
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Cheers m' dears!

[Quarterpast11]

What does "just then" mean?

[Beeesneees]

At that moment.
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Cheers m' dears!