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MMLU-Pro / 7938 / Statement 1 | Suppose ∑|a_i| diverges and ∑ a_i = 2. There is a rearrangement…

Problem

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

question

Statement 1 |  Suppose ∑|a_i| diverges and ∑ a_i = 2. There is a rearrangement a_i_k of the terms such that ∑ a_i_k = 4. Statement 2 | There exists metric spaces X and Y with X closed and bounded and a continuous mapping f : X → Y such that f(X) is NOT “closed and bounded”.

category

math

options

  1. False, Not Sure
  2. False, False
  3. Not Sure, True
  4. True, Not Sure
  5. Not Sure, Not Sure
  6. True, False
  7. False, True
  8. True, Cannot be determined
  9. Not Sure, False
  10. True, True

src

ori_mmlu-college_mathematics

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Source and history

upstream_id / Original problem ID
7938
task_id
1e1819f8-6ee4-5215-9805-54bf8c2e077a
task_key
default--test--7938
task_revision_id
1
config / split
default / test

Official source

initial import