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1
a) adevarat
b) adevarat
c) adevarat
d) fals
e) fals
f) adevarat
g) adevarat
h) fals
i) adevarat
j) fals
k) adevarat la toate
2
a) Nu, deoarece prin impartirea oricarui numar natural la 1 se obtine acel numar. [tex]\displaystyle{n : 1 = n, \ \forall \ n \in \mathbb{N} \rightarrow n \ \vdots \ 1}[/tex]
b) Da. Niciun numar natural nu se divide cu zero, deoarece impartirea la zero nu are sens. Nu este definita.
3.
a) [tex]D_{12}[/tex] = {1, 2, 3, 4, 6, 12}
b) [tex]D_{32}[/tex] = {1, 2, 4, 8, 16, 32}
c) [tex]D_{28}[/tex] = {1, 2, 4, 7, 14, 28}
d) [tex]Dprop_{24}[/tex] = {2, 12, 3, 8, 4, 6}
e) [tex]D_{19}[/tex] = {1, 19}
f) [tex]Dimp_{15}[/tex] = {1, 15}
4.
a) [tex]M_{3}[/tex] = {0, 3, 6, 9, 12, 15, 18, 21}
b) [tex]M_{7}[/tex] = {0, 7, 14, 21, 28, 35, 42, 49}
c) [tex]M_{5}[/tex] = {0, 5, 10, 15, 20, 25, 30, 35}
d) [tex]M_{8}[/tex] = {0, 8, 16, 24, 32, 40, 48, 56}
e) [tex]M_{11}[/tex] = {0, 11, 22, 33, 44, 55, 66, 77}