1. **Stating the problem:** We have 10 movies (A to J) of four genres (Romance, Thriller, Action, Comedy) screened on 14th and 15th December in five languages (Hindi, English, Bangla, Tamil, Telugu). Each movie screened on both days in different languages. We need to find which movie was screened in both Hindi and Bangla. 2. **Given data:** - Romance: 3 movies, Comedy: 3 movies, Action: 2 movies, Thriller: 2 movies. - On 14th Dec, all Romance movies screened in Bangla. - No movie in English on 15th Dec. - B, D, E (Comedy) screened in Hindi on 15th Dec. - No movie in Hindi on 14th Dec. - C, F (Action) screened in English on 14th Dec. - A, F, I screened in Telugu on 15th Dec. - Each movie screened in two different languages, no two movies share the same language pair. - J not screened in Hindi, H not screened in Bangla. 3. **Step-by-step reasoning:** - Romance movies (3) screened in Bangla on 14th Dec. So 3 movies are Romance and screened in Bangla on 14th. - No movie in Hindi on 14th Dec, so Hindi screenings only on 15th Dec. - B, D, E are Comedy and screened in Hindi on 15th Dec. - C, F are Action and screened in English on 14th Dec. - A, F, I screened in Telugu on 15th Dec. - No movie in English on 15th Dec. - J not screened in Hindi, so J's 15th Dec language is not Hindi. - H not screened in Bangla, so H's 14th Dec language is not Bangla. 4. **Assign genres:** - Romance (3 movies): Since B, D, E are Comedy, and C, F are Action, Romance movies are among A, G, H, I, J. - Thriller (2 movies): Remaining two movies after Romance and Comedy and Action. 5. **Assign languages on 14th Dec:** - Romance movies (3) in Bangla on 14th Dec. - C, F (Action) in English on 14th Dec. - No Hindi on 14th Dec. - H not in Bangla, so H is not Romance (since Romance movies are in Bangla on 14th). 6. **Assign languages on 15th Dec:** - B, D, E in Hindi. - A, F, I in Telugu. - No English on 15th. - J not in Hindi. 7. **Check language pairs:** - Each movie has two different languages on two days. - No two movies share the same language pair. 8. **Find the movie screened in both Hindi and Bangla:** - Hindi only on 15th Dec. - Bangla only on 14th Dec for Romance movies. - B, D, E are Comedy and screened in Hindi on 15th, but Comedy movies are not in Bangla on 14th (Romance only in Bangla on 14th). - So, the movie screened in both Hindi and Bangla must be a Romance movie screened in Bangla on 14th and Hindi on 15th. 9. **Identify Romance movies:** - Romance movies are 3, screened in Bangla on 14th. - Among A, G, H, I, J, H is not in Bangla, so H is not Romance. - J not in Hindi, so J cannot be the one screened in Hindi on 15th. - A and I are screened in Telugu on 15th, so not Hindi. - G remains as the only Romance movie that can be screened in Hindi on 15th. 10. **Conclusion:** - Movie G is Romance, screened in Bangla on 14th and Hindi on 15th. **Final answer:** Movie G was screened in Hindi and Bangla.