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MMLU-Pro / 8228 / Statement 1 | For n > 1, the set 1,2, ..., n-1 is a group under multiplication…

Problem

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

question

Statement 1 | For n > 1, the set {1,2, ..., n-1} is a group under multiplication modulo n. Statement 2 | There is an integer x such that 63x mod 100 = 1.

category

math

options

  1. False, True
  2. False, False and x is less than 100
  3. False, True and x is an odd number
  4. True, True and x is greater than 100
  5. False, True and x is a prime number
  6. True, True and x is a multiple of 7
  7. True, False and x is a multiple of 10
  8. True, True
  9. False, False
  10. True, False

src

ori_mmlu-abstract_algebra

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Source and history

upstream_id / Original problem ID
8228
task_id
f0d45c0c-66b0-52af-8384-2e98adfa0554
task_key
default--test--8228
task_revision_id
1
config / split
default / test

Official source

initial import