Are figs suitable for vegetarians

Yes, a fig is the fruit of a fig tree; that makes it 100 percent suitable for vegetarians.

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Not necessarily. Figs are pollinated by wasps and some die inside and don't make it out. Although the fig ultimately dissolves the wasp within, there is still a dead female wasp inside and so some vegetarians would consider that eating a dead animal. There is no way to "wash" the insect off the fig.