benchmarks.wiki / Public workspace

MMLU / For all real numbers r and s, define the mathematical operation # such…

Problem

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

question

For all real numbers rr and ss, define the mathematical operation #\# such that the following conditions apply: r#0=r,r#s=s#rr\ \#\ 0 = r, r\ \#\ s = s\ \#\ r, and (r+1)#s=(r#s)+s+1(r + 1)\ \#\ s = (r\ \#\ s) + s + 1. What is the value of 11#511\ \#\ 5?
Plain-text mathematical notation (without MathML)
For all real numbers r and s, define the mathematical operation # such that the following conditions apply: r # 0=r,r # s=s # r, and (r+1) # s=(r # s)+s+1. What is the value of 11 # 5?
Original LaTeX notation
For all real numbers $r$ and $s$, define the mathematical operation $\#$ such that the following conditions apply: $r\ \#\ 0 = r, r\ \#\ s = s\ \#\ r$, and $(r + 1)\ \#\ s = (r\ \#\ s) + s + 1$. What is the value of $11\ \#\ 5$?

choices

  1. 11
  2. 12
  3. 64
  4. 71

subject

high_school_mathematics

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

Official source

initial import