Daily Math · 2026-05-11

Question 1

In $\mathbb{Z}_6$, the value of $\hat{4} + \hat{5}$ is:

Accepted Answer

$\hat{3}$

Answer

$\hat{0}$

Answer

$\hat{9}$

Answer

$\hat{5}$

Question 2

Find $\displaystyle\int_{-2}^{2}\dfrac{x^5+x^3+x}{x^4+x^2+1}\,dx+i^{2026}\cdot\log_2 1024$.

Accepted Answer

$-10$

Answer

$0$

Answer

$10$

Answer

$-1$

Answer

$-2^{2026}$

Answer

Diverges

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

$\dfrac{3}{8}$