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MMLU-Pro / 7965 / Let A={n+∑_(p=1)^(∞)a_(p)2^(−2p):n∈Z,a_(p)=0or1}.…

Problem

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

question

Let A={n+∑p=1∞ap2−2p:n∈Z,ap=0or1}A=\{n+\sum_{p=1}^{\infty} a_p 2^{-2p}: n \in \mathbf{Z}, a_p=0 or 1 \}. What is the Lebesgue measure of A?
Plain-text mathematical notation (without MathML)
Let A={n+∑_(p=1)^(∞)a_(p)2^(−2p):n∈Z,a_(p)=0or1}. What is the Lebesgue measure of A?
Original LaTeX notation
Let $A=\{n+\sum_{p=1}^{\infty} a_p 2^{-2p}: n \in \mathbf{Z}, a_p=0 or 1 \}$. What is the Lebesgue measure of A?

category

math

options

  1. 1.5
  2. 0.25
  3. 4.0
  4. 0.5
  5. 2.0
  6. Infinity
  7. The measure is undefined
  8. 1.0
  9. 0.0
  10. 3.0

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
7965
task_id
a0b3ff2b-062d-5dbd-9b7c-50535d18e05d
task_key
default--test--7965
task_revision_id
1
config / split
default / test

Official source

initial import