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MMLU-Pro / 8970 / Statement 1| Every group of order p^2 where p is prime is Abelian. Statement 2 |…

Problem

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

question

Statement 1| Every group of order p^2 where p is prime is Abelian. Statement 2 | For a fixed prime p a Sylow p-subgroup of a group G is a normal subgroup of G if and only if it is the only Sylow p-subgroup of G.

category

math

options

  1. Statement 1 is true for certain prime numbers, Statement 2 is true for certain prime numbers
  2. Both statements are true only for certain prime numbers
  3. Statement 1 is false, Statement 2 is true only for certain prime numbers
  4. Statement 1 is true, Statement 2 is false for certain prime numbers
  5. True, True
  6. False, True
  7. Statement 1 is true only for certain prime numbers, Statement 2 is false
  8. Statement 1 is false for certain prime numbers, Statement 2 is true
  9. False, False
  10. True, False

src

ori_mmlu-abstract_algebra

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Source and history

upstream_id / Original problem ID
8970
task_id
d66a4ee0-4870-51c3-8d8a-4f2b62e0c78f
task_key
default--test--8970
task_revision_id
1
config / split
default / test

Official source

initial import