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MMLU-Pro / 8060 / Arbitrarily place 19 points in a unit square and cover as many of these points…

Problem

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

question

Arbitrarily place 19 points in a unit square and cover as many of these points as possible with a circle of diameter 23\frac{\sqrt 2}{3}. Question: At least how many points can be guaranteed to be covered?
Plain-text mathematical notation (without MathML)
Arbitrarily place 19 points in a unit square and cover as many of these points as possible with a circle of diameter (√(2))/(3). Question: At least how many points can be guaranteed to be covered?
Original LaTeX notation
Arbitrarily place 19 points in a unit square and cover as many of these points as possible with a circle of diameter $\frac{\sqrt 2}{3}$. Question: At least how many points can be guaranteed to be covered?

category

math

options

  1. 7
  2. 1
  3. 9
  4. 3
  5. 4
  6. 2
  7. 5
  8. 0
  9. 8
  10. 6

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8060
task_id
68ae6483-e0cf-5639-85c1-d7e67c9d7844
task_key
default--test--8060
task_revision_id
1
config / split
default / test

Official source

initial import