CONCURS #014
22.02.2022, ora 20:00Problema 1 [269 puncte]
$Aflati\ cel\ mai\ mic\ multiplu\ comun\ al\ numerelor\ 36\ si\ 42.$
Problema 2 [338 puncte]
$Aflati\ raportul\ numerelor\ 784\ si\ 14.$
Problema 3 [407 puncte]
$Aflati\ numarul\ divizorilor\ lui\ 36. $
Problema 4 [476 puncte]
$Calculati\ 35\%\ din\ 1200.$
Problema 5 [545 puncte]
$Aflati\ cate\ numere\ de\ forma\ \overline{3ab}\ sunt\ divizibile\ cu\ 15.$
Problema 6 [614 puncte]
$Daca\ a\ si\ b\ sunt\ invers\ proportionale\ cu\ \frac{1}{3},\ respectiv\ \frac{1}{4},\ si\ a+b=56,$
$calculati\ a^{3}+b^{3}.$
Problema 7 [683 puncte]
$Fie\ A\ cel\ mai\ mic\ numar\ natural\ care\ are\ 15\ divizori.\ Cati\ divizori\ are\ A^{3}?$
Problema 8 [752 puncte]
$Aflati\ cel\ mai\ mic\ numar\ natural\ nenul\ N,\ astfel\ incat\ 2520\cdot N\ sa\ fie\ patrat\ perfect.$