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Number Theory

Source: 1991 National High School Mathematics League, Exam One, Problem 3

February 26, 2020
number theory

Problem Statement

Let aa be a positive integer, a<100a<100, and a3+23a^3+23 is a multiple of 2424. Then, the number of such aa is (A)4(B)5(C)9(D)10\text{(A)}4\qquad\text{(B)}5\qquad\text{(C)}9\qquad\text{(D)}10
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