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Dear teachers,
1/ In the conversation below ,does "How would I know?" mean "How should I know ?" and "How was I to know?"

A: Are credit cards accepted in that country ?
B:How would I know?

2/ In " I wouldn't want to be an accountant because I am terrible at math" , is "I wouldn't want to be an accountant "here replaceable with "I wouldn't like to be an accountant" ?Can I say"I would want to be a teacher to replace "I would like to be a teacher"?

Thank you in advance
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Tuongvan1/ In the conversation below ,does "How would I know?" mean "How should I know ?" and "How was I to know?"

A: Are credit cards accepted in that country ?
B:How would I know?
Yes. Those are close paraphrases.
Tuongvanis "I wouldn't want to be an accountant "here replaceable with "I wouldn't like to be an accountant" ?
More or less, yes. They are approximately the same. But "wouldn't want to be" shows an aversion to a future possibility, and "wouldn't like to be" shows 'non-enjoyment' of a current possibility (more or less).
TuongvanCan I say"I would want to be a teacher to replace "I would like to be a teacher"?
No. would like in the affirmative has an idiomatic meaning not present in would want. The would is not hypothetical in would like as it is in would want, so the contexts in which these are used are different.
CJ
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Hi,

1/ In the conversation below ,does "How would I know?" mean "How should I know ?" and "How was I to know?"

A: Are credit cards accepted in that country ?
B:How would I know?
You might also like to note that this answer can often be given quite rudely, with the approximate meaning of 'That's a stupid question, and I'm not interested in helping you'. If it's intended rudely, the facial expression, tone of voice and general relationship between the two speakers will usually make the intention pretty clear.

Best wishes, Clive
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Comments  
"How would I know" means "How do you think I could have found that out?", "Why do you assume I know it?", e.t.c.
"I wouldn't want to be an accountant" means something like "If I had an opportunity to get a job as accountant, I wouldn't want it.". No, you can't replace "like" with "want" and keep the same meaning.
BTW, Why would an accountant want to know math??? 
 CalifJim's reply was promoted to an answer.
Thank you ever so much CalifJim.Your explanations are clear and easy to understand
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 Clive's reply was promoted to an answer.