The question tests your knowledge of the traditional folk musical instruments associated with the tribal communities of Madhya Pradesh. The 'Gudum Baja' is a traditional percussion instrument that holds cultural significance among the tribes of the state.

Explanation:

1. Mandla District: The instrument 'Gudum Baja' is prominently associated with the Baiga and Gond tribes of the Mandla district. These tribes are known to perform folk dances and songs using this instrument during various cultural and religious festivities. Hence, the correct answer is Mandla.
2. Other Options:
   • Shahdol: Although rich in cultural heritage, Shahdol does not have a notable association with Gudum Baja.
   • Chhindwara: This district also boasts a diverse tribal culture, but Gudum Baja is not primarily linked to it.
   • Jhabua: Known for its Bhil tribe, Jhabua has its own set of musical instruments that do not prominently include Gudum Baja.

Conclusion: From the information above, it is clear that Mandla district is the correct answer, as the Gudum Baja is a significant part of the cultural identity of the tribes inhabiting this district.