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2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 2

Revision as of 05:20, 19 January 2019 by Timneh (talk | contribs) (Created page with "== Problem == Determine all positive integers <math>a</math> such that <math>a < 100</math> and <math>a^3 + 23</math> is divisible by <math>24</math>. == Solution== <math>\...")
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Problem

Determine all positive integers $a$ such that $a < 100$ and $a^3 + 23$ is divisible by $24$.

Solution

$\frac{8}{3}$

See also

2018 UNM-PNM Contest II (Problems • Answer Key • Resources)
Preceded by
Problem 1 		Followed by
Problem 3
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10
All UNM-PNM Problems and Solutions
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