What does the phrase "come down with" mean?

[Thunu]

English Language Tests, Intermediate level

ESL/EFL Test #139 "Phrasal idioms with the verb 'come'", question 4

If you have eaten a banana in the last 2-3 days and ......... a fever followed by a skin infection, you should seek urgent medical attention!

(a) come across
(b) come up with
(c) come down with
(d) come out with

English Language Tests, Intermediate level

ESL/EFL Test #139 "Phrasal idioms with the verb 'come'", answer 4

If you have eaten a banana in the last 2-3 days and come down with a fever followed by a skin infection, you should seek urgent medical attention!

Correct answer: (c) come down with

Your answer was: incorrect
If you have eaten a banana in the last 2-3 days and come out with a fever followed by a skin infection, you should seek urgent medical attention!
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Hello Teachers

What does the phrase "come down with" mean?

Thank you
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Reach an agreement as ploughing, don't let argument happen at crops.

[Skrej]

To come down with something means to start showing symptoms of that health problem.
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Plan to be spontaneous tomorrow.
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