Daily Math · 2026-06-13

Question 1

The numbers $5, 8, 11, 14, \ldots$ form an arithmetic progression. The common difference $r$ equals:

Accepted Answer

$3$

Answer

$2$

Answer

$4$

Answer

$5$

Question 2

The map $\varphi: (\mathbb{R}, +) 	o ((0, \infty), \cdot)$ defined by $\varphi(x) = e^x$ is:

Accepted Answer

an isomorphism

Answer

not a homomorphism

Answer

a non-injective homomorphism

Answer

injective but not surjective

Question 3

On $[0, 2\pi)$, the equation $\cos 2x + \cos x = 0$ has exactly:

Accepted Answer

$3$ solutions

Answer

$1$ solution

Answer

$2$ solutions

Answer

$4$ solutions