Strange questions asked in interviews

I cannot help saying crazy to Japanese job hunting. There are some examples that would make me confused if I was asked by interviewers.

・Tell me how to count up the number of all cockroaches in Japan.
・Do you believe ghost?
・What do you think yourself if you are an animal? why?
・Which song is used in our company's TV commercial?
・Give a nickname to the interviewer.
・Do you know my first name?
・Give ten differences between shrimps and crayfishes.
・Pick up ten ten TV personalities to make up a baseball team.

These were once asked candidates in real job interviews. Even an ordinary company would give such incomprehensible questions.
What's their intention?

Below is written in Japanese
以下日本語です。

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