In a class of 19 students, students took an exam consisting of three questions. In this exam, one question is worth 1 point, one is worth 2 points, and the other is worth 3 points. Each student's score is calculated by adding the points of only the correctly answered questions. Regarding the scores obtained by students after the exam, the following are known.
- The lowest score obtained is 3. - 6 students scored 3 points, and 5 students scored 6 points. - The number of students who scored 5 points equals the number of students who scored 4 points.
If 11 students answered the 1-point question correctly, how many students answered the 3-point question correctly?
A) 13
B) 14
C) 15
D) 16
E) 17

Body Mass Index (BMI) is a calculation method that shows the estimated fat percentage in a person's body. In this method, first, a person's weight in kilograms and height in meters are measured. Then, a person's BMI is calculated by dividing their weight by the square of their height.
The following table shows ideal BMI ranges according to certain age groups.

Age	Ideal BMI
$19 - 24$	$19 - 24$
$25 - 35$	$20 - 25$
$35 - 44$	$21 - 26$
$45 - 54$	$22 - 27$
$55 - 65$	$23 - 28$
65 and above	$24 - 29$

The difference between the weight at the smallest ideal BMI value appropriate for Ilayda's age (30 years old) and the weight at the largest ideal BMI value has been calculated as 12.8 kilograms.
Accordingly, what is Ilayda's height in meters?
A) 1.50
B) 1.55
C) 1.60
D) 1.65
E) 1.70

Each factory in a city produces in only one of the following areas: food, furniture, plastic, and textile. The numerical distribution of these factories according to their production areas is shown in the pie chart in Figure 1.
A total of 54 of these factories conduct exports. For each production area, the ratio of the number of factories that export in that area to the total number of factories producing in that area is shown as a percentage in the bar chart in Figure 2.
Accordingly, what is the total number of factories in this city?
A) 96
B) 120
C) 144
D) 154
E) 180

Two recycling bins have been placed in a school for the recycling of glass and plastic bottles. Identical glass bottles have been placed in one bin and identical plastic bottles have been placed in the other bin, both empty. At the end of the first day when these empty bins were placed, the number of bottles in the bin containing glass bottles equals $\frac{2}{3}$ of the number of bottles in the bin containing plastic bottles. Furthermore, the ratio of the total mass of glass bottles collected on the first day to the total mass of plastic bottles has been calculated as $\frac{8}{5}$.
Accordingly, the mass of one plastic bottle is how many times the mass of one glass bottle?
A) $\frac{5}{12}$
B) $\frac{5}{2}$
C) $\frac{9}{4}$
D) $\frac{7}{3}$
E) $\frac{15}{16}$

In a tennis tournament with 20 tennis players, each player played against each of the other tennis players once. In this tournament with a total of 19 referees assigned, 3 referees were assigned for each match.
Given that all referees worked an equal number of matches in this tournament, how many matches did one referee work?
A) 25
B) 27
C) 30
D) 32
E) 35

The screen view of a folder containing 6 files on Müge's computer is given below.

\multicolumn{2}{|l|}{C:\textbackslash Assignments}	Q Search
File	Size	Creation Date
Biology.pdf	730 KB	March 7, 2024
Philosophy.pdf	400 KB	March 1, 2024
Physics.pdf	260 KB	March 9, 2024
Chemistry.pdf	280 KB	March 4, 2024
Mathematics.pdf	500 KB	March 6, 2024
History.pdf	180 KB	March 3, 2024

After deleting a certain number of files from the 6 files in this folder, Müge arranged the remaining files from smallest to largest by size. Later, when she arranged these files by creation date from oldest to newest, she found that the order of the files did not change.
Accordingly, what is the minimum number of files that Müge deleted from these 6 files?
A) 1
B) 2
C) 3
D) 4
E) 5

The bathroom wall in the figure, which is rectangular in shape, will be completely covered with identical yellow and blue rectangular tiles of the same dimensions, with no gaps between the tiles. This covering process will be completed by using, as shown in the figure, one row of yellow tiles followed by one row of blue tiles, in sequence.
When the covering process is completed, the ratio of the area covered by yellow tiles to the area covered by blue tiles has been calculated as $\frac{3}{4}$.
Accordingly, what is the total number of tiles on this wall?
A) 56
B) 63
C) 70
D) 77
E) 84

Akın and Gökay play a game by drawing balls from a bag containing 10 balls numbered from 1 to 10. After drawing two balls, Akın tells Gökay the product of the numbers on the balls he drew, and the following conversation takes place between them:
Akın: Can you find the numbers on the balls I drew?
Gökay: The information you gave is insufficient. There is more than one solution.
Akın: What if I say the sum of the numbers on the balls I drew is 11?
Gökay: Okay, now I found it for certain.
Accordingly, which of the following cannot be the difference between the numbers on the balls that Akın drew?
A) 1
B) 3
C) 5
D) 7
E) 9

Three friends living in the same house, Erman is waiting for 1 cargo package, Görkem is waiting for 2 cargo packages, and Kerem is waiting for 3 cargo packages. These three friends randomly distributed 6 cargo packages that arrived at the house without reading the recipient information on the packages. As a result of this distribution, everyone received the number of cargo packages they were expecting.
Accordingly, what is the probability that each of these three friends received the packages they were expecting?
A) $\frac{1}{45}$
B) $\frac{1}{60}$
C) $\frac{1}{72}$
D) $\frac{1}{84}$
E) $\frac{1}{120}$

Congruent isosceles triangles ABC and DEF with equal red edge lengths are placed on a plane as shown in the figure. Point A falls on edge [EF], point F falls on edge [BC], and edges [AC] and [DE] are parallel.
Accordingly, what is the measure of angle $x$ in degrees?
A) 44
B) 45
C) 46
D) 47
E) 48

Cem attached a rope to one end of his skateboard's steering rod, with the hanging part having a length of 46 cm. When the skateboard's adjustable connecting rod has a length of 60 cm as shown in Figure 1, the distance from the closest point of the rope to the ground to the point where the connecting rod joins the skateboard is 50 cm.
When Cem increased the length of the skateboard's connecting rod as shown in Figure 2, the distance from the closest point of the rope to the ground to the point where the connecting rod joins the skateboard became 80 cm.
Accordingly, how many cm longer is the connecting rod in Figure 2 compared to the connecting rod in Figure 1?
A) 30
B) 40
C) 50
D) 60
E) 70

Triangles whose area equals a natural number in square centimeters are called lucky triangles.
Among triangles with one interior angle measuring $30^{\circ}$ and two side lengths of $4$ and $6$ cm, which ones are lucky triangles?
A) Only I
B) Only II
C) Only III
D) I and II
E) I and III

İlkay, while climbing a mountain slope, fixed one end of three ropes of different colors (black and blue) at the same point on the ground and the other ends at different points on the slope.
He fixed one end of the red rope at the point where the blue rope was fixed on the slope and the other end at a point on the black rope, without disrupting the linearity of the black rope, as shown in the figure.
The distances from the point where one end of the red rope is fixed on the black rope to the ends of the black rope are given in the figure.
Given that the angle between the black and blue ropes equals the acute angle between the red rope and the slope, what is the distance between the points where the black and blue ropes are fixed on the slope in meters?
A) 60
B) 65
C) 70
D) 75
E) 80

Özge wants to prepare a postcard to be used in the promotion of Denizli. She plans to use three photographs from Figure 1, with edge lengths given in centimeters, on her rectangular postcard.
Özge placed the first two photographs from Figure 1 on her postcard as shown in Figure 2, so that both photographs are completely visible and there is no gap between them. She placed the other photograph as shown in Figure 3, so that the photograph is completely visible.
Accordingly, what is the sum of the areas of the parts of the first two photographs placed on the postcard that are not visible in Figure 3, in square centimeters?
A) 26
B) 28
C) 30
D) 32
E) 34

An artist combined four identical trapezoid-shaped glasses with no gaps between them as shown in the figure to obtain a rectangular-shaped stained glass window with a perimeter of 40 units.
Accordingly, what is the area of one of these trapezoid-shaped glasses in square units?
A) 24
B) 22
C) 20
D) 18
E) 16

The measure of one exterior angle of a regular $n$-sided polygon is calculated as $\frac{360^{\circ}}{n}$.
Three regular polygons sharing one side each as shown in the figure. Given that the two angles shown in the figure are equal, how many sides does the outermost regular polygon have?
A) 12
B) 18
C) 20
D) 24

Twelve identical blocks in the shape of rectangular prisms are combined as shown in the figure to obtain a cube.
Accordingly, what is the ratio of the surface area of the obtained cube to the surface area of one of the identical blocks?
A) 3
B) 4
C) 6
D) 9
E) 12

The cubic block shown in Figure 1 is cut along the dashed lines and a rectangular prism-shaped piece is removed from this block. By removing this piece, the appearance shown in Figure 2 is obtained. As a result, the surface area of the block decreases by 40 square units and the volume decreases by 180 cubic units.
Given that the edge lengths of the removed piece are integers in units, what is the surface area of this piece in square units?
A) 202 B) 216 C) 222 D) 234 E) 256

The volume of a rectangular prism with edge lengths $a$, $b$, and $c$ is calculated using the formula
$$\mathrm{V} = a \cdot b \cdot c$$
Pelin will calculate the edge lengths of a rectangular prism-shaped object using identical square-shaped labels, each with a side length of 4 centimeters, purchased from a store.
Pelin placed 2 labels on one surface of the rectangular prism-shaped object and 3 labels on another surface, in such a way that they completely cover the surface they are attached to. She performed this placement so that there are no gaps between the labels, the labels do not overlap, and they do not extend beyond the surface.
Accordingly, what is the volume of the rectangular prism-shaped object in cubic centimeters?
A) 320
B) 342
C) 384
D) 448
E) 456

When the numbers $2,3,4,5,6,7,8$ and 9 are placed in the boxes below such that each box contains a different number, all equalities are satisfied.
$$\begin{aligned} & \square \times \square = 12 \\ & A \div \square = 2 \\ & \square + \square = 12 \\ & B - \square = 2 \end{aligned}$$
Accordingly, what is the sum $A + B$?
A) 13 B) 14 C) 15 D) 16 E) 17

Let $a$, $b$ and $c$ be positive real numbers. The value of a certain notation is equal to the number $a \cdot (b + c)$.
If this is the case, what is $\times$?
A) 1 B) 2 C) 3 D) 4 E) 5

Some vehicles on a three-lane highway named lanes A, B, and C changed lanes during a certain time interval. During this time interval when there were no new vehicles entering the highway and no vehicles leaving the highway

• 5 vehicles from A to B;
• 4 vehicles from B to A, 1 to C;
• 3 vehicles from C to B

passed, and in the final state, the number of vehicles in these three lanes were equal to each other.
If the initial number of vehicles in lanes A, B, and C are $a$, $b$, and $c$ respectively, which of the following orderings is correct?
A) $a < b < c$ B) $a < c < b$ C) $b < a < c$ D) $b < c < a$ E) $c < a < b$

In a two-leg football match played between classes A and B at a school, let $x$ be the difference between the total number of goals scored in the first half and the total number of goals scored in the second half
$$|x - 4| < 3$$
the inequality is satisfied.
In the first half, class A scored 2 goals and class B scored 1 goal. In this match, the total number of goals scored by class A equals the total number of goals scored by class B.
Accordingly, which of the following cannot be the total number of goals scored by class A in this match?
A) 2 B) 3 C) 4 D) 5 E) 6

For positive integers $a$, $b$, and $c$

• $\frac{a+b}{c}$ is an even integer,
• $\frac{a+c}{b}$ is an odd integer.

Accordingly
I. $a + b + c$ II. $a \cdot (b + c)$ III. $a \cdot b \cdot c$
which of the following expressions are always even?
A) Only II B) Only III C) I and II

A total of 35 fruits of five different types are packaged in 15 packages as shown in the figure.
Ayşenur, Cansu, Merve, Rabia, and Sibel shared these packages such that each person took 3 packages and each person's packages contained a total of 7 fruits. The fruits in the packages taken by Ayşenur are of exactly the same type as the fruits in the packages taken by Cansu, and the fruits in the packages taken by Merve are of completely different types from the fruits in the packages taken by Rabia.
Accordingly, what types of fruits are in the packages taken by Sibel?