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MMLU-Pro / 8438 / Statement 1 | If a and b are elements of a group and a is not equal to b, then…

Problem

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

question

Statement 1 | If a and b are elements of a group and a is not equal to b, then a^2 is not equal to b^2. Statement 2 | The set of rotations in a dihedral group form a cyclic subgroup.

category

math

options

  1. False, True only for Abelian groups
  2. True, True only if a and b are inverses
  3. False, False only if a and b are not inverses
  4. True, False
  5. True, False only for non-cyclic groups
  6. True, True
  7. False, True
  8. True, True only for non-Abelian groups
  9. False, False
  10. False, True only for groups of even order

src

ori_mmlu-abstract_algebra

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Source and history

upstream_id / Original problem ID
8438
task_id
897a5d70-339e-5bf7-a597-fd1d7537f701
task_key
default--test--8438
task_revision_id
1
config / split
default / test

Official source

initial import