The questions what was the name of your primary school in hindi means you need to tell in which school you studied your primary classes?
In hindi –
आपके प्राथमिक विद्यालय का नाम क्या था ?
Aapake praathamik vidyaalaya ka naam kya tha
In tamil-
உங்கள் ஆரம்பப் பள்ளியின் பெயர் என்ன?
Uṅkaḷ ārampap paḷḷiyiṉ peyar eṉṉa?
So for the question to
What was the name of your primary school?
You need to tell the name of school For .eg- if your school was St Michaels Academy. the answer will be
My primary school name is St Michaels Academy, Delhi