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Modulo.
Find the hidden integer using the clues.
Browse Editions 25 available
25 editions shown. Editions 007 to 025 are open for testing. Their content and difficulty ratings may change.
Residue Intersection
Public Test. This edition's content and difficulty rating are still under review.
Find a whole number from 1 to 999.
Clues
1 of 5 clues revealed
- 01
The number is divisible by 9.
What Does This Mean?
Dividing the hidden number by 9 leaves remainder 0.
Equivalently, for some integer k:
n=9k
Clue Details
1 of 5 clues opened.
- 1 starting clue
- 0 manually revealed
- 0 revealed after guesses
Scratchpad Notes and candidates
These are your own workings; the game does not check them. They follow your progress-saving settings and are included in account progress when you are signed in.
Tick a candidate to cross it out.
Your Record Edition 020 · Revision 1
Your first completed run will appear here.
View All ProgressHow to Play Modulo
Use the clues to narrow the range to one integer.
- You have five accepted guesses. There is no timer.
- A wrong answer opens the next clue, if one remains.
- Opening a clue yourself does not use a guess.
- Your result records both guesses and clues.
- End the round to read the solution, then replay as practice.
These games do not award ranked leaderboard points.
Remainders
Dividing 17 by 5 leaves remainder 2.
17=3×5+2About Tier 4 - Tensor
A layered challenge requiring substantial reasoning or technical control.
Difficulty describes the challenge, not the solver. It is a Society guide rather than a formal academic level.
The tier is a Society guide to the amount of reasoning, technical work and insight a problem is expected to require. Your experience may vary depending on the topic and your background.