Difference between revisions of "1961 AHSME Problems/Problem 4"

(Created page with 'Let the set consisting of the squares of the positive integers be called ''u''; thus ''u'' is the set 1,4,9... . If a certain operation on one or more members of the set always y…')
 
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(A) addition  (B) multiplication  (C) division   
 
(A) addition  (B) multiplication  (C) division   
 
(D) extraction of a positive integral root  (E) none of these
 
(D) extraction of a positive integral root  (E) none of these
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Revision as of 12:36, 5 July 2013

Let the set consisting of the squares of the positive integers be called u; thus u is the set 1,4,9... . If a certain operation on one or more members of the set always yields a member of the set, we say that the set is closed under that operation. Then u is closed under:

(A) addition (B) multiplication (C) division (D) extraction of a positive integral root (E) none of these The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png