In a friend group consisting of two girls and three boys, the girls' names are AYLIN and BENSU, and two of the boys' names are AKIN and KENAN.
The set of letters in the girls' names is set X, and the set of letters in the boys' names is set Y.
Given that $\mathbf{X} \cap \mathbf{Y} = \{\mathbf{A}, \mathbf{B}, \mathbf{E}, \mathbf{N}, \mathbf{U}\}$, which of the following could be the name of the other boy in the friend group?
A) BARIŞ B) BILAL C) BURAY D) BULUT E) BURAK

For a two-digit natural number $AB$
$$\begin{aligned} & p: A + B = 5 \\ & q: A \cdot B = 6 \end{aligned}$$
Given these propositions.
If the proposition $(\mathbf{p} \vee \mathbf{q}) \Rightarrow (\mathbf{p} \wedge \mathbf{q})$ is false, what is the sum of the possible values of the number $AB$?
A) 106 B) 125 C) 144 D) 163 E) 182

Before the doctor's examination, Sibel Hanım's age, height, and weight are written on a card.

Age : 53

Height : .......

Weight : .......

Regarding this information,
$p$: Sibel Hanım's weight is more than 60 kilograms.
$q$: Sibel Hanım's height is in the range of 164 cm to 170 cm.
$r$: Sibel Hanım's age is in the range of 55 to 65.
propositions are given.
$$\left( p \Rightarrow q^{\prime} \right) \wedge r^{\prime}$$
Given that this proposition is false, which of the following could be Sibel Hanım's height and weight?
A) $160 \mathrm{~cm} - 56$ kilograms B) $165 \mathrm{~cm} - 58$ kilograms C) $166 \mathrm{~cm} - 62$ kilograms D) $171 \mathrm{~cm} - 59$ kilograms E) $172 \mathrm{~cm} - 64$ kilograms

The number of different digits in a natural number N is defined as shown in the figure.
Example: $4202 = 3$
Let A be a digit, and the equality shown in the figure holds.
What is the sum of different A values that satisfy the equality?
A) 8 B) 9 C) 10 D) 11 E) 12

A greengrocer has determined the kilogram selling price of each of six fruits as shown in the figure. The greengrocer has placed bananas in the back middle compartment of a counter consisting of six compartments as shown in the figure. The greengrocer asks his apprentice to place the remaining five types of fruit in the empty compartments of the counter such that each compartment contains a different type of fruit and the price of the fruit in each front compartment is cheaper than the price of the fruit in the compartment directly behind it.
Accordingly, in how many different ways can the apprentice arrange these fruits on the counter?
A) 18 B) 24 C) 30 D) 36 E) 42

Among the three-digit natural numbers $ABB$ and $BAB$, one is divisible by 11 and the other is divisible by 12.
Accordingly, what is the sum $\mathrm{A} + \mathrm{B}$?
A) 7 B) 8 C) 10 D) 11 E) 13

Let $A, B$ and $C$ be digits different from zero and from each other; the sum of the two-digit natural number AB and the two-digit natural number BC equals one less than the two-digit natural number CA.
Accordingly, how many different three-digit natural numbers ABC can be written using the digits A, B, and C that satisfy this condition?
A) 1 B) 2 C) 3 D) 5 E) 6

When the numbers in a data group are arranged from smallest to largest, if the number of terms in the group is odd, the median is the middle number; if it is even, the median is the arithmetic mean of the two middle numbers.
The mode is the value that appears most frequently among the data.
The average temperature values measured in a region over one week are given below.
Monday : $16^{\circ}\mathrm{C}$ Tuesday : $18^{\circ}\mathrm{C}$ Wednesday : $16^{\circ}\mathrm{C}$ Thursday : $20^{\circ}\mathrm{C}$ Friday : $20^{\circ}\mathrm{C}$ Saturday : $19^{\circ}\mathrm{C}$ Sunday : $20^{\circ}\mathrm{C}$
The mode of the data group formed by these average temperature values is found, and the days whose temperature values equal the mode of the data group are removed from the data group.
Accordingly, what is the median of the new data group formed by the temperature values of the remaining days?
A) 16 B) 17 C) 18 D) 19 E) 20

A toy bear, a toy horse, and a cactus plant are placed on 3 wall shelves, each at a different height from the ground, first as shown in Figure 1, and then as shown in Figure 2. The heights that are equal in Figure 1 and Figure 2 are shown with dashed lines. It is known that the sum of the heights of the toy bear, toy horse, and cactus plant is 15 units.
Given that the height of the leftmost shelf from the ground is 18 units, what is the sum of the heights of the other two shelves from the ground?
A) 45 B) 48 C) 51 D) 54 E) 57

Boat trips are organized for visitors who want to visit a tourist island. The boat departs when there are at least 20 passengers and can carry a maximum of 35 passengers. On a particular day, 3 boat trips were organized and a total of 91 passengers were transported. The ratio of the number of passengers transported in the first trip to the number of passengers transported in the second trip is $\frac{4}{5}$.
Accordingly, how many passengers were transported in the third trip?
A) 21 B) 24 C) 28 D) 32 E) 35

A coffee machine detects the length of the cup placed in its cup holder. For the coffee machine to operate, the distance between the coffee reservoir and the top of the cup must be at least 11.5 cm and at most 12.4 cm, as shown in the figure.
When a cup of length $14.5 \mathrm{~cm}$ is placed in the cup holder of this coffee machine, the machine operates; when a cup of length $15.2 \mathrm{~cm}$ is placed, the machine does not operate.
Accordingly, when cups of the following lengths are placed in the cup holder of this coffee machine:
I. $14.2 \mathrm{~cm}$ II. $14.4 \mathrm{~cm}$ III. $14.6 \mathrm{~cm}$
For which of these will the machine definitely operate?
A) Only I B) Only II C) Only III D) I and II

Yeşim organized a poll on social media with a mosque photo she took in Edirne. After a certain period, the number of votes used for some cities and the ratio of the number of votes used for some cities to the total number of votes as a percentage are given. After this distribution, 5 more votes were cast in total, 4 of which were for Edirne and 1 for Istanbul.
Accordingly, what is the percentage of the number of votes cast for Edirne to the total number of votes in the final situation?
A) 36 B) 38 C) 40 D) 42 E) 44

The campaigns at stationery stores $A$ and $B$, which have the same prices for the same type of products, are as follows.

• At stationery store A, when a backpack is purchased, a pen case is sold at half price.
• At stationery store B, when 2 of the same type of product are purchased, a 40\% discount is applied to the 2nd product.

Ege and Deniz took advantage of stationery store A's campaign and each bought one backpack priced at 300 TL and one pen case priced at 120 TL.
If Ege and Deniz had each bought one backpack and one pen case of the same type from stationery store B, how much less would the total amount they paid be compared to what they paid to stationery store A?
A) 30 B) 36 C) 42 D) 48 E) 54

An athlete ran from point A in the direction of the arrow on a circular track divided into five equal-length sections at a constant high speed and reached point B in 60 seconds. Then this athlete ran from point B in the direction of the arrow at a constant low speed for 320 seconds.
Accordingly, what is the difference between the time it takes this athlete to run the entire track at low speed and the time it takes to run the entire track at high speed in seconds?
A) 80 B) 90 C) 100 D) 110 E) 120

A father, to encourage his son Kerem who is preparing for a math exam to study, changes the password of their wireless internet and leaves the following note next to the modem.
Accordingly, what is this internet password?
A) 45 B) 47 C) 51 D) 57 E) 63

When Ali dede, whose grandfather's restaurant was founded in 1949, came to the restaurant, he said the following sentence to his grandson.
``In the year this restaurant was founded, I was 11 years old, and in the year you were born, this place had been in service for 40 years.''
Accordingly, what is the sum of the ages of Ali dede and his grandson in 2022?
A) 101 B) 105 C) 109 D) 113 E) 117

In a textile workshop, cardboard boxes arranged in a row will pass sequentially through two machines that perform labeling.
The first machine writes NORMAL CUT on the first two cardboards, NARROW CUT on the next two cardboards, and continues in this way, writing NORMAL CUT on two cardboards and NARROW CUT on two cardboards in sequence, labeling the cardboards and sending them to the second machine. The second machine labels the first cardboard with S, the second cardboard with M, the third cardboard with L, and continues in this way, labeling the cardboards sequentially with S, M, and L.
Accordingly, what is the label of the 175th cardboard coming out of the second machine?
A) NORMAL CUT M B) NARROW CUT M C) NORMAL CUT S D) NARROW CUT L E) NORMAL CUT L

A tour company has offered three different transportation options: train, bus, and airplane for a tour it will organize to Adana. The company's per-person fare information for this tour according to transportation vehicles and some information about the number of people who chose these transportation vehicles are given in the table below.

\cline{2-4} \multicolumn{1}{c|}{}	Train	Bus	Airplane
Fare (TL)	300		750
Number of People		108

Among the people who participated in this tour; the number of those who chose the bus for transportation is equal to 6 times the number of those who chose the airplane. Also, in this tour, the total fare paid by those who chose the train for transportation is equal to the total fare paid by those who chose the airplane.
Accordingly, what is the total number of people going to Adana with this tour?
A) 165 B) 171 C) 177 D) 183 E) 189

Ayşe, who wants to set aside a portion of her notebook for history class, folds the page she wants to set aside more easily to find, as shown in the figure, from the upper right corner of the page.
In this notebook with rectangular pages, each line on the pages is parallel to the top edge of the page.
Accordingly, what is x in degrees?
A) 50 B) 52 C) 54 D) 56 E) 58

Three right triangles are positioned as follows: their hypotenuses lie on the same line and one vertex of each coincides.
Given that each of the blue angles measures $115^{\circ}$, what is the measure of the yellow angle in degrees?
A) 100 B) 105 C) 110 D) 115 E) 120

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 glazier using his extendable ladder to reach a window 6 meters high from the ground positions the ladder 4.8 meters away from a garden wall 3.6 meters high, as shown in Figure 1, and extends the ladder to touch the wall and reach the bottom of the window. The glazier then brings the ladder into the garden and, as shown in Figure 2, leans one end against the wall and extends it to the bottom of the window.
When the glazier positions the ladder as shown in Figure 2, he extends it 3.5 meters less than when he positions it as shown in Figure 1. Accordingly, what is the thickness of the wall in meters?
A) 0.5 B) 0.6 C) 0.7 D) 0.8 E) 0.9

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

In an application used to adjust the sound level of a music program, consisting of 100 equal units in the shape of a right triangle, the appearance of the application when the sound level is 60 units is given in Figure 1.
When the sound level is increased to 70 units as shown in Figure 2, the area of the green right triangle increases by 260 square units.
Accordingly, what is the height marked with ? in the appearance of the application in units?
A) 30 B) 35 C) 40 D) 45 E) 50