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MMLU-Pro / 8661 / Which of the following statements is true?

Problem

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

question

Which of the following statements is true?

category

math

options

  1. Empty relation _ is not reflexive.
  2. Number of relations from A = {x, y, z} to B= (1, 2, 3), is 64.
  3. Properties of a relation being symmetric and being un-symmetric are positive of each other.
  4. Empty relation _ is reflexive
  5. Properties of a relation being symmetric and being un-symmetric are negative of each other.
  6. Number of relations form A = {x, y, z} to B= (1, 2), is 64.
  7. Every equivalence relation is a partial-ordering relation.
  8. Every partial-ordering relation is an equivalence relation.
  9. Number of relations from A = {x, y, z} to B= (1, 2), is 32.
  10. Properties of a relation being symmetric and being anti-symmetric are negative of each other.

src

ori_mmlu-abstract_algebra

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Source and history

upstream_id / Original problem ID
8661
task_id
6d1171f7-57b2-5444-b595-e4c16414d558
task_key
default--test--8661
task_revision_id
1
config / split
default / test

Official source

initial import