CONCURS #003
06-10-2024 00:16:43Problema 1 [320 puncte]
$Calculati\ \sqrt{49}+\sqrt{196}-\sqrt{121}.$
Problema 2 [488 puncte]
$ Determinati\ numarul\ elementelor\ multimii\ A=\{ x\in \mathbb{Z} / |2x-1|\leq 2022 \} $
Problema 3 [656 puncte]
$Cate\ numere\ de\ patru\ cifre\ se\ pot\ forma\ cu\ cifre\ pare\ distincte?$
Problema 4 [824 puncte]
$Triunghiul\ ABC\ are\ aria\ 240.\ Daca\ AM\ si\ BN\ sunt\ mediane,\ iar\ intersectia\ lor\ este\ G,$
$iar\ P\ este\ mijlocul\ lui\ MN,\ aflati\ aria\ triunghiului\ GPM.$
Problema 5 [992 puncte]
$Calculati\ 2\cdot( 1+2+3+...+100 )\cdot ( \frac{1}{1\cdot 2}+\frac{1}{2\cdot 3}+...+\frac{1}{99\cdot 100} ).$