Cinci grile de admitere, cu explicații

Question 1

Număr de grafuri neorientate 
Care este numărul de grafuri neorientate cu exact 5 noduri și minimum 5 muchii?

Accepted Answer

638

Answer

256

Answer

1024

Answer

210

Answer

630

Answer

120

Question 2

Ecuaţia $2^{2 x+1}=8$ are soluţia:

Accepted Answer

$x=1$

Answer

$x=-1$

Answer

$x=2$

Answer

$x=0$

Answer

$x=3$

Answer

$x=-2$

Question 3

Dacă $4^{x}+4^{-x}=23$, atunci $2^{x}+2^{-x}$ este:

Accepted Answer

5

Answer

4

Answer

10

Answer

2

Answer

14

Question 4

Se dă produsul $P(n) = n! = 1 \cdot 2 \cdot \ldots \cdot n$. Câte cifre egale cu $0$ are la sfârșit numărul $P(30)$?

Accepted Answer

7

Answer

5

Answer

6

Answer

8

Question 5

Valoarea integralei $\int_{1}^{8} \frac{x}{\sqrt{3 x+1}} \mathrm{~d} x$ este

Accepted Answer

8

Answer

7

Answer

6

Answer

4