Is the word respostas the same in Brazilian and European Portuguese?

Yes

The word "respostas" is identical in meaning, spelling, and grammatical function in both Brazilian and Continental Portuguese. The only difference lies in pronunciation. In Brazil, the vowels tend to be more "open," and the rhythm of speech is more syllable-timed, meaning each syllable receives a similar amount of time. In Portugal, the vowels are more "closed" or reduced (often sounding almost swallowed), and the rhythm is stress-timed, which emphasizes certain syllables while shortening others.

Brazilian Portuguese Examples:

1. Eu ainda não tenho as respostas. (I don't have the answers yet.)
2. Suas respostas foram muito boas. (Your answers were very good.)
3. Ele tá esperando as respostas do professor. (He is waiting for the teacher's answers.)
4. Me dá as respostas da prova, por favor. (Give me the answers to the test, please.)
5. As respostas foram bem difíceis. (The answers were very difficult.)

Continental Portuguese Examples:

1. Eu ainda não tenho as respostas. (I don't have the answers yet.)
2. As tuas respostas foram muito boas. (Your answers were very good.)
3. Ele está à espera de respostas. (He is waiting for answers.)
4. Dá-me as respostas do teste, por favor. (Give me the answers to the test, please.)
5. As respostas foram bastante complexas. (The answers were quite complex.)