What is the name of Indian national sweet dish?

Many Hindus are strict vegetarians-- this means they don't even eat egg. So this would make most cakes and pastries and pies out of bounds. There are some Hindus on the other hand, who eat eggs or who eat eggs when present in cakes.

However, to be on the safe side, when entertaining, do ask your guest if they're okay with an egg-based dessert. If not, you can always whip up something like fruit salad and custard. You can also find lots of recipes online for eggless desserts.

If you are buying dessert from a store, do check with the store about the ingredients, or just head to a vegan store. In case there is some ambiguity, it might be best if you just whip up something easy like a fruit bowl, which is always appreciated!