Daily Math · 2026-06-19

Question 1

Calculați $\log_5 5^{12} - \log_7 1$.

Accepted Answer

$12$

Answer

$0$

Answer

$5$

Answer

$11$

Question 2

A square matrix $A$ is invertible iff:

Accepted Answer

$\det(A) 
e 0$

Answer

$\det(A) = 0$

Answer

$A$ is symmetric

Answer

all entries are non-zero

Question 3

Two boxes — Box A has $3$ red and $1$ blue; Box B has $1$ red and $3$ blue. A box is chosen at random and a ball is drawn. Given the ball is red, the probability it came from Box A is:

Accepted Answer

$\dfrac{3}{4}$

Answer

$\dfrac{1}{4}$

Answer

$\dfrac{1}{2}$

Answer

$\dfrac{3}{8}$