Difference between revisions of "1961 AHSME Problems/Problem 4"
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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 11:36, 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. 
