Mathematics - 2017 E.C (2024/2025) Ethiopian University Entrance Exam (EUEE)

Consider the figure shown below.

If $m(\angle BAE) = 50^\circ$ and $m(\angle CBD) = 80^\circ$, then $m(\widehat{BXE})$ is equal to:

Let $f(x)$ be a polynomial of degree at least 1, $g(x)$ be a non-zero polynomial and $c \in \mathbb{R}$. Which of the following states the Factor Theorem?

Let $A = \{1,2\}$ and $B = \{1,3\}$ be sets. Then which one of the following Cartesian products is correct?

Consider the matrix $\begin{pmatrix} 2 & -3 & 1 \\ 0 & -1 & \pi \\ 3 & 1 & 4 \end{pmatrix}$. What is the cofactor of entry $\pi$?

When converting the recurring decimal $0.\overline{25}$ into a fraction using convergent geometric series, then what are the first term and the common ratio respectively?

What are the maximum and minimum values respectively of $z = 3x + y$ subject to constraints $\begin{cases} 3x + 2y \leq 20 \\ 2x - y \geq 4 \\ x \geq 0, y \geq 0 \end{cases}$?

What is the domain of the function $f(x) = \sqrt{3 - x^2}$?

If $x = 0.00471$, then which of the following gives the mantissa of $\log x$?

Dibabe was hired in an elementary school with a monthly salary of Birr 30,000. The agreement was to raise her salary every year by Birr 3,000. What is the total amount of money that Dibabe will earn at the end of the 8th year in Birr?