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• "A person who is unconcerned with whether something is right or wrong" is called- Amoral.

• Amoral (adjective)
- English Meaning: having or showing no concern about whether behavior is morally right or wrong; being neither moral nor immoral.
- Bangla Meaning: আচরণ সঠিক না ভুল তা নিয়ে কোনও উদ্বেগ না থাকা; নৈতিকতার সঙ্গে সম্পর্কহীন।

অন্যদিকে,
খ) Immoral (adjective)
- English Meaning: not moral : morally evil or wrong.
- Bangla Meaning: নীতিবিগর্হিত; অসাধু; পাপাত্মক; দুরাশয়; দুশ্চরিত্র; পাপপরায়ণ।
- Immoral → a person who knows right and wrong but chooses to do wrong.

গ) Unethical (adjective)
- English Meaning: not conforming to a high moral standard: morally wrong: not ethical.
- Bangla Meaning: অনৈতিক; নীতিহীন।
- Unethical → against moral or professional rules.

ঘ) Naive (adjective)
- English Meaning: marked by innocence or simplicity: artless, ingenuous; credulous.
- Bangla Meaning: কথাবার্তা এবং আচরণে সাদাসিধা ও ছলাকলাহীন (যেমন অর্বাচীনতা ও অনভিজ্ঞতার দরুন) কৌতুকজনকভাবে সরল; কাঁচা।
- Naive → means innocent or lacking experience/worldliness.

Source:
1. Accessible Dictionary by Bangla Academy.
2. Merriam-Webster Dictionary.