MathGrit
ProblemsTechniquesPricing
Sign inGet started
Back to problems

Circular Table Minimum Seating Coverage

1675AdeptCombinatoricsOptimization
A circular table has 60 chairs around it. There are $N$ people sitting in these chairs such that the next person to sit down will have to sit next to someone. What is the smallest possible value of $N$?
0 students attempted0% solvedRating 1675

Related practice paths

AMC 10 PracticeAlgebra, geometry, counting, and number theory practice.AMC 10 vs AMC 12Choose the right practice path and difficulty level.AIME Practice StrategyHow to improve accuracy on high-difficulty problems.

Ready to check your answer?

Create an account to submit answers, save history, and track your rating.

Progressive Hints

Unlock hints one at a time — each reveals a little more without spoiling the solution.

Step-by-Step Solutions1

Multiple solution approaches with detailed walkthroughs, unlocked after you solve the problem.

AI-Powered Grading

Instant feedback on your answer — handles fractions, decimals, and equivalent forms.

Curated problem bank

Supported tracks for AMC, AIME, MATHCOUNTS, and olympiad-style training, plus global problem sources like UKMT, Euclid, and Kangaroo.