benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / Find the number of integers x such that the following three conditions all hold: - x is a multiple of 5 - 121<x<1331 - When x is written as an integer in base 11 with no leading 0 …

Problem

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

problem

Find the number of integers xx such that the following three conditions all hold: - xx is a multiple of 5 - 121<x<1331121<x<1331 - When xx is written as an integer in base 11 with no leading 0 s (i.e. no 0 s at the very left), its rightmost digit is strictly greater than its leftmost digit.
Plain-text mathematical notation (without MathML)
Find the number of integers x such that the following three conditions all hold: - x is a multiple of 5 - 121<x<1331 - When x is written as an integer in base 11 with no leading 0 s (i.e. no 0 s at the very left), its rightmost digit is strictly greater than its leftmost digit.
Original LaTeX notation
Find the number of integers $x$ such that the following three conditions all hold: - $x$ is a multiple of 5 - $121<x<1331$ - When $x$ is written as an integer in base 11 with no leading 0 s (i.e. no 0 s at the very left), its rightmost digit is strictly greater than its leftmost digit.

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
94c004d9-93f3-5d59-b65a-3e8eca0ed4b0
task_key
test--94c004d9-93f3-5d59-b65a-3e8eca0ed4b0
task_revision_id
1
config / split
/ test

Official source

initial import