Question

Determinati restul impartirii nr N=1•2•3•...•100+1001 la 120

Answer 1

$1\cdot2\cdot ...\cdot100~contine~numerele~2~si~60,~cu~produsul~120,~deci~1\cdot2\cdot ...\cdot100~\vdots~120$
$1001=960+41$
$960~\vdots~120\Rightarrow restul~impartirii~lui~N~la~120~este~41$