benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / A textit{palindrome} is a positive integer which reads the same forward and backward, like 12321 or 4884. How many 4-digit palindromes are divisible by 3?

Problem

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

problem

A $\textit{palindrome}$ is a positive integer which reads the same forward and backward, like 1232112321 or 48844884. How many 44-digit palindromes are divisible by 33?
Plain-text mathematical notation (without MathML)
A $\textit{palindrome}$ is a positive integer which reads the same forward and backward, like 12321 or 4884.

How many 4-digit palindromes are divisible by 3?
Original LaTeX notation
A $\textit{palindrome}$ is a positive integer which reads the same forward and backward, like $12321$ or $4884$.

How many $4$-digit palindromes are divisible by $3$?

level

Level 5

type

Prealgebra

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. 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. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
7e49e66a-4108-5460-9814-49bf3e6f9e0f
task_key
prealgebra--test--7e49e66a-4108-5460-9814-49bf3e6f9e0f
task_revision_id
1
config / split
prealgebra / test

Official source

initial import