Answer:
Goa
Area of India : 3,287,240 Sq km.*
Largest State Rajasthan 342,239 Sq km
Smallest State Goa 3,702 Sq km
Largest Union Territory Andaman & Nicobar Islands 8,249 Sq km
Smallest Union Territory Lakshadweep 32 Sq km
Largest District Kachchh (Gujarat) 45,652 Sq km