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MMLU-Pro / 8171 / Six positive integers are written on the faces of a cube. Each vertex is labeled…

Problem

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

question

Six positive integers are written on the faces of a cube. Each vertex is labeled with the product of the three numbers on the faces adjacent to the vertex. If the sum of the numbers on the vertices is equal to 10011001, then what is the sum of the numbers written on the faces?
Plain-text mathematical notation (without MathML)
Six positive integers are written on the faces of a cube. Each vertex is labeled with the product of the three numbers on the faces adjacent to the vertex. If the sum of the numbers on the vertices is equal to 1001, then what is the sum of the numbers written on the faces?
Original LaTeX notation
Six positive integers are written on the faces of a cube. Each vertex is labeled with the product of the three numbers on the faces adjacent to the vertex. If the sum of the numbers on the vertices is equal to $1001$, then what is the sum of the numbers written on the faces?

category

math

options

  1. 36
  2. 31
  3. 15
  4. 20
  5. 13
  6. 18
  7. 27
  8. 24
  9. 1001
  10. 45

src

ori_mmlu-high_school_mathematics

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Source and history

upstream_id / Original problem ID
8171
task_id
5d0eca2e-aa44-51e3-8443-f273eab7908e
task_key
default--test--8171
task_revision_id
1
config / split
default / test

Official source

initial import