[tex]1)~card~A=2006-1001+1=1006. \\ \\ 2) ~\overline{abc}+ \overline{bca} + \overline {cab}=2664 \Leftrightarrow \\ \Leftrightarrow 100a+10b+c+100b+10c+a+100c+10a+b=2664 \Leftrightarrow \\ \Leftrightarrow 111a+111b+111c=2664 \Leftrightarrow \\ 111(a+b+c)=111*24 \Rightarrow \boxed{a+b+c=24}. \\ \\ 3) ~3x-12=x \Rightarrow 3x-x=12 \Leftrightarrow 2x=12 \Rightarrow x=6. \\ x^{3}- x^{2} = x^{2} (x-1)=36*5=180.[/tex]
[tex]4)~x=5y+6 \Rightarrow x+y=5y+6+y=6y+6=6(y+1) \Rightarrow catul=6;~ \\ restul=0.[/tex]
5) FALS!!!
(3+4)²=49 si 3²+4²=25.
