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MMLU-Pro / 8224 / Statement 1 | Every homomorphic image of a group G is isomorphic to a factor…

Problem

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

question

Statement 1 | Every homomorphic image of a group G is isomorphic to a factor group of G. Statement 2 | The homomorphic images of a group G are the same (up to isomorphism) as the factor groups of G.

category

math

options

  1. True, True
  2. False, False
  3. False, the statements cannot be evaluated
  4. The first statement is a contradiction, but the second statement is true
  5. The first statement is true, but the second statement is a contradiction
  6. The statements are equivalent, and both are true
  7. The statements are equivalent, and both are false
  8. False, True
  9. True, the statements cannot be evaluated
  10. True, False

src

ori_mmlu-abstract_algebra

Discussion

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Source and history

upstream_id / Original problem ID
8224
task_id
1259485d-aa73-5702-a125-c9c77eb7f1ea
task_key
default--test--8224
task_revision_id
1
config / split
default / test

Official source

initial import