In a school, an equilateral triangle-shaped poster is prepared to be hung in each classroom. As shown in the figure, this poster is divided into three sections by two lines parallel to its base, with the heights of the sections equal to each other.
Later, the school principal wants the areas of the sections in the poster to be directly proportional to the percentage values written in the sections. Accordingly, the sections are rearranged without changing the area of the poster. In the final arrangement, the area of the "Behavior" section increased by 24 square units compared to the initial arrangement.
Accordingly, what is the area of the poster in square units?
A) 270 B) 300 C) 320 D) 360 E) 400

Işıl wants to glue three congruent isosceles triangles in blue, pink, and yellow colors onto a rectangular piece of paper. First, she glues the blue triangle as shown in the figure, making an angle of $48°$ with the bottom edge of the paper. Then she glues the pink triangle so that part of one side of the pink triangle coincides with part of one side of the blue triangle, and the yellow triangle so that part of one side of the yellow triangle coincides with part of one side of the pink triangle as shown in the figure.
In the final arrangement, one of the equal-length sides of the yellow triangle is parallel to the top edge of the paper. Accordingly, what is one of the equal angles of the yellow triangle in degrees?
A) 72 B) 76 C) 78 D) 80 E) 82

A desk calendar in Figure 1 consists of two congruent white square cardboards on the front and back, and an orange rectangular cardboard as the base. The height of this calendar is 12 cm.
When this calendar is folded outward along the dashed line in the middle of the cardboard at its base in the direction shown by the arrow in Figure 2, the appearance in Figure 3 is obtained. In Figure 3, the perimeter of the white cardboard on the front is 12 cm more than the perimeter of the orange-colored cardboard.
Accordingly, what is the perimeter of the orange cardboard in Figure 1 in cm?
A) 46 B) 54 C) 66 D) 82 E) 104

A quarter circle shaped piece of paper with radius r units is cut along the line shown in Figure 1 that divides this quarter circle into two equal parts, and one piece is discarded. Then, the remaining piece is cut along the line shown in Figure 2 to obtain two pieces as shown in Figure 3. The upper surface of the larger piece obtained is painted blue, and the upper surface of the smaller piece is painted yellow.
Accordingly, what is the ratio of the blue painted area to the yellow painted area?
A) $\pi$ B) $\pi - 1$ C) $\pi - 2$ D) $\frac{\pi}{2}$

In the circle in Figure 1 with points A, B, C and D marked on it, chords BC and CD are perpendicular. By cutting this circle along chords AB, BC, CD and DA to obtain the pieces in Figure 2, the lengths of the red colored line segments connecting the midpoints of chords and arcs are sequentially 1, 5, 10 and x units.
Accordingly, what is x?
A) 14 B) 15 C) 16 D) 17 E) 18

Six points indicating the locations of a school, municipality, hospital, market, park and library are shown below on a map consisting of unit squares of a neighborhood. The following are known regarding the marked points on this map.

• The two points with the maximum distance between them belong to the hospital and library.
• The point indicating the municipality is equidistant from the points indicating the school and park.
• The point indicating the park is equidistant from the points indicating the market and library.

Accordingly, what is the ratio of the distance between the points indicating the municipality and school to the distance between the points indicating the market and library?
A) $\frac{1}{2}$ B) $\frac{3}{2}$ C) $\frac{5}{2}$ D) $\frac{2}{3}$ E) $\frac{4}{3}$

A cubic piece of wood is cut parallel to one of its surfaces, obtaining two pieces of wood. The surface area of the larger piece is 2 times the surface area of the smaller piece.
Accordingly, the volume of the larger piece is how many times the volume of the smaller piece?
A) 2 B) 3 C) 4 D) 5 E) 6

Three cube-shaped boxes in red, blue, and yellow colors are stacked on top of each other and against a wall as shown in Figure 1.
The yellow area seen in Figure 2, which shows the top view of these boxes, is 16 square units, the blue area is 20 square units, and the red area is 45 square units.
Accordingly; by how many cubic units does the volume of the red box exceed the volume of the blue box?
A) 296 B) 386 C) 488 D) 513 E) 657

For the digits $A, D, T$ and $Y$
$$\begin{array}{r} \text{TYT} \\ \text{AYT} \\ + \quad \text{YDT} \\ \hline 2024 \end{array}$$
an addition operation is given.
$\text{TYT} < \text{AYT}$
According to this, what is the product $Y \cdot D \cdot T$?
A) 48 B) 64 C) 80 D) 96 E) 112

Using the rational numbers $\frac{1}{3}, \frac{1}{6}, \frac{6}{8}, \frac{8}{12}, \frac{9}{36}$, two groups with two elements each are formed such that the sum of the numbers in the same group equals 1.
According to this, which of these numbers is not included in the formed groups?
A) $\frac{1}{6}$
B) $\frac{1}{3}$
C) $\frac{6}{8}$
D) $\frac{8}{12}$
E) $\frac{9}{36}$

Let $a$ be a digit. If the remainder when $25!$ is divided by $23! - a$ is $60^{2}$, what is $a$?
A) 2 B) 3 C) 4 D) 5 E) 6

Let $x, y$ and $z$ be distinct prime numbers satisfying
$$x + y \cdot z = 21$$
What is the sum $x + y + z$?
A) 12 B) 14 C) 16 D) 18 E) 20

Which of the following is a real number that is not a rational number?
A) $\frac{1}{3}$
B) $-1$
C) $\sqrt{2}$
D) $\sqrt[3]{8}$
E) $i + 3$

Ali, Burcu, and Can estimated the number of pages of the school magazine to be published as 27, 35, and 39, respectively. Given that the absolute value of the difference between each estimate and the actual number of pages is different from one another, Burcu made the closest estimate to the actual number of pages, and Can made the farthest estimate.
Accordingly, what is the sum of the digits of the number of pages in the magazine?
A) 4
B) 5
C) 6
D) 7
E) 8

There are two baskets, each containing an equal number of apples. When the apples from one basket are distributed to each student in classes A and B, 3 apples remain in that basket. When the apples from the other basket are distributed to each student in class B, there are not enough apples, so 2 students do not receive apples.
Accordingly
I. Each basket contains an odd number of apples.
II. The difference between the number of students in these two classes is an odd number.
III. The product of the number of students in these two classes is an even number.
Which of the following statements are definitely true?
A) Only I
B) Only III
C) I and II
D) II and III
E) I, II and III

Regarding sets $A$ and $B$
$$\begin{array}{ll} p & : s(B \backslash A) = 1 \\ q & : s(A) \geq s(B) \\ r & : s(A \cup B) = 8 \end{array}$$
For the propositions
$$\left(p \Rightarrow r^{\prime}\right) \vee (q \wedge p)$$
it is known that the proposition is false.
What is the number of elements in $A \cap B$?
A) 8 B) 7 C) 6 D) 5 E) 4

Which of the following thermometers, divided into equal sections with some values given in ${}^{\circ}\mathrm{C}$, shows a temperature of $15^{\circ}\mathrm{C}$?

Let $A$ and $B$ be two sets such that $A \cup B = \{1,2,3,4,5,6,7,8,9\}$ and
- the sum of two elements from the set $A \setminus B$ is 8, - the difference of two elements from the set $A \cap B$ is 8, - the product of two elements from the set $B \setminus A$ is 8.
If the sum of elements in set $A$ equals the sum of elements in set $B$, what is the sum of elements in $A \cap B$?
A) 10
B) 17
C) 18
D) 23
E) 25

Ayşe completed her booking for a flight trip by selecting the appropriate options from the following.
Seat Selection
a) Standard seat selection (free)
b) Preferred seat selection (paid)
Baggage Selection
a) Standard baggage allowance (free)
b) Extra baggage allowance (paid)
Meal Selection
a) I do not want a meal (free)
b) I want a meal (paid)
Regarding this information,
$p$: She paid for seat selection.
$q$: She did not pay for baggage selection.
$r$: She paid for meal selection.
propositions are given. Given that the proposition $(p' \wedge r) \wedge (p \vee q)$ is true, what are Ayşe's seat, baggage, and meal selections, respectively?
A) $a - a - a$
B) $b - b - b$
C) $a - b - a$
D) $b - b - a$
E) $a - a - b$

The appearance of a bingo card with two-digit numbers written on it is given in the figure.

$(11)$	$(42)$	$(23)$	$(A2)$
$(B4)$	$(3B)$	$(1A)$	$(51)$

The sum of the numbers in row 1 of this card equals the sum of the numbers in row 2.
Accordingly, what is the sum $AB + BA$?
A) 99
B) 110
C) 121
D) 132
E) 143

Let $A$, $B$ and $C$ be distinct digits such that digit $A$ is a whole number multiple of digit $B$, and digit $B$ is a whole number multiple of digit $C$.
If the three-digit natural number $ABC$ is divisible by 3, what is the product of its digits?
A) 8
B) 12
C) 18
D) 27
E) 32

If the square of the digit in the tens place of a three-digit natural number equals the number formed by writing the digits in the units and hundreds places side by side, then this natural number is called an adjacent number.
For example, 552 and 255 are adjacent numbers.
If $AB1$ and $BC4$ are adjacent numbers, what is the sum $A + B + C$?
A) 21
B) 22
C) 23
D) 24
E) 25

Of two ladders on a flat ground; the cats on the third step of the ladder in Figure 1 consisting of 4 equal steps and on the fourth step of the ladder in Figure 2 consisting of 5 equal steps have equal heights from the ground.
The top surfaces of each step of these ladders are parallel to the ground, and the side surfaces are perpendicular to the ground.
If the sum of the heights from the ground of the topmost steps of these two ladders is 124 cm, what is the height of one of the cats from the ground in cm?
A) 40
B) 44
C) 48
D) 52
E) 56

In the call history section of Can's phone, the people he made phone calls with and the number of phone calls with those people are shown in parentheses. Can's phone calls yesterday and today are given in Figure 1 and Figure 2, respectively.
Can made 40\% of his total calls yesterday with Erhan and 20\% with Ahmet.
If Can's total calls with Erhan over these two days is 24\% of his total calls over these two days, how many calls did Can make with Erhan today?
A) 1
B) 2
C) 3
D) 4
E) 5

Companies A and B have been operating continuously in the same sector since their establishment. In 2021, the time these two companies have spent in the sector was calculated. According to this calculation, the time company A has spent in the sector is 5 times the time company B has spent in the sector. When the same calculation was done in 2024, the time company A has spent in the sector is 4 times the time company B has spent in the sector.
Accordingly, in which year was company A founded?
A) 1964
B) 1968
C) 1972
D) 1976
E) 1980