CONCURS #013
21.02.2022, ora 20:00Problema 1 [242 puncte]
$Aflati\ numarul\ care\ impartit\ la\ 23\ da\ catul\ 19\ si\ restul\ 5.$
Problema 2 [284 puncte]
$Daca\ 7\ caiete\ costa\ 42\ lei,\ cat\ costa\ 13\ caiete?$
Problema 3 [326 puncte]
$Aflati\ suma\ divizorilor\ numarului\ 39. $
Problema 4 [368 puncte]
$Calculati\ suma\ cifrelor\ numarului\ 10^{10}-108.$
Problema 5 [410 puncte]
$Calculati\ suma\ S=2+4+6+...+30.$
Problema 6 [452 puncte]
$Cate\ numere\ de\ forma\ \overline{3ab}\ sunt\ divizibile\ cu\ 2?$
Problema 7 [494 puncte]
$Pentru\ cate\ valori\ naturale\ ale\ lui\ n,\ fractia\ \frac{2n+156}{n+2}\ este\ numar\ natural? $
Problema 8 [536 puncte]
$Care\ este\ numarul\ maxim\ de\ numere\ care\ se\ pot\ alege\ dintre\ numerele\ 1,2,3,...,1000,$
$astfel\ incat\ suma\ oricaror\ doua\ numere\ sa\ nu\ fie\ divizibila\ cu\ 3?$