Home Competitions AHSME 1967 Problem 25
For every odd number p > 1 p>1 p > 1 (A) ( p − 1 ) 1 2 ( p − 1 ) − 1 is divisible by p − 2 (B) ( p − 1 ) 1 2 ( p − 1 ) + 1 is divisible by p (C) ( p − 1 ) 1 2 ( p − 1 ) is divisible by p (D) ( p − 1 ) 1 2 ( p − 1 ) + 1 is divisible by p + 1 (E) ( p − 1 ) 1 2 ( p − 1 ) − 1 is divisible by p − 1 \textbf{(A)}\ (p-1)^{\frac{1}{2}(p-1)}-1 \text{is divisible by} p-2 \textbf{(B)}\ (p-1)^{\frac{1}{2}(p-1)}+1 \text{is divisible by} p\\ \textbf{(C)}\ (p-1)^{\frac{1}{2}(p-1)} \text{is divisible by} p \textbf{(D)}\ (p-1)^{\frac{1}{2}(p-1)}+1 \text{is divisible by} p+1\\ \textbf{(E)}\ (p-1)^{\frac{1}{2}(p-1)}-1 \text{is divisible by} p-1 (A) ( p − 1 ) 2 1 ( p − 1 ) − 1 is divisible by p − 2 (B) ( p − 1 ) 2 1 ( p − 1 ) + 1 is divisible by p (C) ( p − 1 ) 2 1 ( p − 1 ) is divisible by p (D) ( p − 1 ) 2 1 ( p − 1 ) + 1 is divisible by p + 1 (E) ( p − 1 ) 2 1 ( p − 1 ) − 1 is divisible by p − 1
Dataset text NuminaMath-1.5 . Quoted with source.
Show the answer
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Add a solution
Similar problems
These problems have the most words in common with this statement.
Locator ahsme/1967/p25 · Tag 7AR86PFMRA · Edit this page on GitHub · Keys: j next, k previous