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MMLU-Pro / 10414 / Let G = (V, E) be a finite directed acyclic graph with |E| > 0. Which of the…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Let G = (V, E) be a finite directed acyclic graph with |E| > 0. Which of the following must be true?
I. G has a vertex with no incoming edge.
II. G has a vertex with no outgoing edge.
III. G has an isolated vertex, that is, one with neither an incoming edge nor an outgoing edge.

category

computer science

options

  1. I and III only
  2. None of the above
  3. I and II only
  4. II and III only
  5. I, II, and a vertex with one outgoing edge
  6. I, II, and a vertex with one incoming edge
  7. All of the above (I, II, III)
  8. II only
  9. I only
  10. III only

src

ori_mmlu-college_computer_science

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Source and history

Official source

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