Choose the correct variant. They had nothing to eat, _______?

The correct question tag to use here is 'did they'. The sentence "They had nothing to eat" is negative. When the main clause is negative, the question tag should be positive. Because the verb 'had' is used here as the main verb (not as an auxiliary verb), we need to use 'did' in the question tag. The correct sentence is: "They had nothing to eat, did they?" So the correct answer is: did they