Let S=1,2,3,4,5,6,7,8,9,10. Define f:S→S as f(n)={\begin{matrix}2n, & \mathrm{if}n=1,2,3,4,5 \\ 2n-11 & \mathrm{if}n=6,7,8,9,10\end{matrix}
Let g:S≥S be a function such that \mathrm{fog}(n)={\begin{matrix}n+1 & ,\mathrm{if}n\mathrm{is}\mathrm{odd} \\ n-1 & ,\mathrm{if}n\text{is }\mathrm{even}\end{matrix}, then g(10)(g(1)+g(2)+g(3)+g(4)+g(5)) is equal to
Held on 27 Jun 2022 · Verified 6 Jul 2026.
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If the roots of x² - 5x + k = 0 are in the ratio 2:3, then k equals:
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