Răspuns:
1. a) A∪B= {0,1,2,3,4,5} toate elementele din A si B luate o singura data
card (AUB)=6 nr de elemente
b) A= {1,2,3,4}
c) A= { 1,2,4}
2. a) 48= [tex]3^{1}[/tex]x [tex]2^{4}[/tex]
b) axb= 3 x 30= 90
c) x∈{ 1, 2,3, 4, 6}
3. a) 1 robinet...12 ore y= 12x 1: 4= 12: 4= 3 ore curg 4 robinete
4 robinete.... y
b) x= [tex]\frac{14x6}{3}[/tex]=14x 2=24
c) 15 + 15 x[tex]\frac{10}{100}[/tex]=15 +150:100= 15 +1,5= 16, 5 lei noulpret
4. a) bisectoarea imparte unghiul in doua unghiuri egale
m( AOM)= 34:2= 17
b) 3x + 1= 118 3x = 118-1= 117 => x = 117 : 3= 39
II.1 a) cmmdc( 36, 40)= 4 cmmmc= 8x9x5=40x9=360
b) 5| (35a + 15b+ 10 c)
5| 5 (7a+3b+2c) indiferent de valoarile lui a,b,c
c) daca (a, b)= 46 => a= 46 xc b=46x d
a+b= 184 46c +46 d= 184 46 (c+d)= 184=>
c+ d= 184: 46 => c+ d= 4 => c=1 si d=3
adica a= 46 x1= 46 b= 3x 46= 138
c=d=2 a= 46x2=92 b=92
c=3 d=1 a=138 b= 46
