------Problema 4------
1) FALS
2) FALS
3) ADEVARAT
4) ADEVARAT
5) FALS
------Problema 5------
a)
Notam cu x numarul cautat
5400 : x = 80, rest 40 ; restul < x ⇒ conform teoremei impartirii cu rest
5400 = 80 * x + 40 | -40
5400 - 40 = 80x
5360 = 80x | :80
x = 67
b)
Notam cu x numarul cautat
x * 60 : 30 = 100 ⇒
20x = 100
x = 100 : 20
x = 50
c)
Notam cu x numarul cautat
20200 : 20 = 1010
20200 : x = 2 * 101
20200 : x = 202
20200 = 202x
x = 20200 : 202
x = 100
------Problema 6------
a)
x : 12 = 22, rest 11; restul < 12 ⇒ conform teoremei impartirii cu rest (D=C*I+R)
x = 22 * 12 + 11
x = 264 + 11
x = 275
b)
1080 : y = 90
1080 = 90y
y = 1080 : 90
y = 12
c)
z : 76 = 124
z = 124 * 76
z = 9424
------Problema 7------
n : 5 = 7, rest, rest < 5 ⇒ r ∈ {0,1,2,3,4}
n₁ : 5 = 7, rest 0 ⇒ n₁ = 5 * 7 + 0 ⇒ n₁ = 35
n₂ : 5 = 7, rest 1 ⇒ n₂ = 5 * 7 + 1 ⇒ n₂ = 36
n₃ : 5 = 7, rest 2 ⇒ n₃ = 5 * 7 + 2 ⇒ n₃ = 37
n₄ : 5 = 7, rest 3 ⇒ n₄ = 5 * 7 + 3 ⇒ n₄ = 38
n₅ : 5 = 7, rest 4 ⇒ n₅ = 5 * 7 + 4 ⇒ n₅ = 39
Raspuns: 35, 36, 37, 38, 39
