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MMLU-Pro / 9009 / S(n) is a statement about positive integers n such that whenever S(k) is true,…

Problem

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

question

S(n) is a statement about positive integers n such that whenever S(k) is true, S(k + 1) must also be true. Furthermore, there exists some positive integer n0 such that S(n0) is not true. Of the following, which is the strongest conclusion that can be drawn?

category

math

options

  1. S(n) is not true for any n = n0
  2. S(n) is not true for any n <= n0
  3. S(n) is not true for any n > n0
  4. S(n) is not true for any n < n0
  5. S(n0 - 2) is not true.
  6. S(n) is not true for any n >= n0
  7. S(n) is not true for any n != n0
  8. S(n0 + 2) is not true.
  9. S(n0 - 1) is not true.
  10. S(n0 + 1) is not true.

src

ori_mmlu-college_mathematics

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Source and history

upstream_id / Original problem ID
9009
task_id
1910365f-d274-579b-9455-9b9193a53689
task_key
default--test--9009
task_revision_id
1
config / split
default / test

Official source

initial import