Question

aflati cel mai mic munar natural de 4 cifre divizibil cu 43?
cate numere naturale de trei cifre ,scrise in baza zece ,se divid cu 19

Answer 1

 [tex] 1000 \le{M_{43}}\le9999\;\rightarrow\;1000:43\approx2\\ \rightarrow\;M_{43}_{_{minim}}=24*43=1032\;:\\
100\le{M_{19}}\;\le999\;si\\
 \rightarrow\;100:19=5,26... \\
si\;\;999:19=52,5...\\
M_{19}=\{6*19=114\;;\;7*19=133\;;\;...\;;\;52*19=988\;\}\\
\Rightarrow\; in\;total\;(52-6)+1=47\,numere [/tex]