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A graph is said to have a negative weight cycle when?

(a) The graph has 1 negative weighted edge

(b) The graph has a cycle

(c) The total weight of the graph is negative

(d) The graph has 1 or more negative weighted edges

I had been asked this question during an interview.

This is a very interesting question from Shortest Path topic in chapter Shortest Path of Data Structures & Algorithms II

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The correct answer is (c) The total weight of the graph is negative

For explanation: When the total weight of the graph sums up to a negative number then the graph is said to have a negative weight cycle. Bellmann Ford Algorithm provides no solution for such graphs.

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