Difference between revisions of "1991 AHSME Problems/Problem 15"

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A circular table has 60 chairs around it. There are <math>N</math> people seated at this table in such a way that the next person seated must sit next to someone. What is the smallest possible value for <math>N</math>?
 
A circular table has 60 chairs around it. There are <math>N</math> people seated at this table in such a way that the next person seated must sit next to someone. What is the smallest possible value for <math>N</math>?
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<math>\text{(A) } 15\quad
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\text{(B) } 20\quad
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\text{(C) } 30\quad
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\text{(D) } 40\quad
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\text{(E) } 58</math>
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== Solution ==
 
== Solution ==
 
<math>\fbox{B}</math>
 
<math>\fbox{B}</math>

Revision as of 16:31, 28 September 2014

Problem

A circular table has 60 chairs around it. There are $N$ people seated at this table in such a way that the next person seated must sit next to someone. What is the smallest possible value for $N$?

$\text{(A) } 15\quad \text{(B) } 20\quad \text{(C) } 30\quad \text{(D) } 40\quad \text{(E) } 58$

Solution

$\fbox{B}$

See also

1991 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 14
Followed by
Problem 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
All AHSME Problems and Solutions

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