English term or phrase: Database

Explanation:

database --> Gyankoashagaar --> ज्ञानकोषागार.
The word 'Gyan' is actually Hindi for 'knowledge'. If that seems a step distant from 'Data', then perhaps it could be substituted with 'Suchanaa' --> सूचना. The resulting word for 'database' would then become 'सूचनाकोषागार'.

Hindi Translation:

ज्ञानकोषागार.

सूचनाकोषागार