Onur read a text consisting of 80 words all written in capital letters and was curious about the total number of the letter ``A'' in this text, so he counted them. Onur found a total of 105 letter ``A''s in this counting process.
Additionally, Onur noticed that each word contained at most 2 letter ``A''s and that the number of words containing the letter ``A'' was 3 times the number of words not containing the letter ``A''.
Accordingly, how many words in the text Onur read contain exactly 1 letter ``A''?
A) 12
B) 15
C) 18
D) 21
E) 24

Triangle ABC paper with a yellow front and blue back is shown in Figure 1. This paper is folded as shown in Figure 2 such that vertex B comes onto vertex A.
Accordingly, which of the following is the correct ordering of the lengths $|\mathrm{AC}|$, $|\mathrm{AE}|$, and $|\mathrm{BD}|$?
A) $|\mathrm{AC}| < |\mathrm{AE}| < |\mathrm{BD}|$
B) $|\mathrm{AC}| < |\mathrm{BD}| < |\mathrm{AE}|$
C) $|\mathrm{AE}| < |\mathrm{AC}| < |\mathrm{BD}|$
D) $|\mathrm{AE}| < |\mathrm{BD}| < |\mathrm{AC}|$
E) $|\mathrm{BD}| < |\mathrm{AE}| < |\mathrm{AC}|$

Five hooks are placed on a wall at equal heights from the ground and spaced 14 cm apart. Ayşe hangs two identical rectangular bags, each with a long side of 28 cm and arm straps connecting the endpoints of the long side, on these hooks as shown in the figure.
In this case, Ayşe measures the heights of her bags from the ground as 60 and 72 cm.
Accordingly, what is the length of the arm strap of one of the bags in cm?
A) 100
B) 108
C) 112
D) 120
E) 124

A square-shaped blue glass has its front surface divided into 9 equal regions and its back surface divided into 36 equal regions, with some regions on these surfaces painted black as shown in the figure.
Regions that are blue on both sides of this glass allow light to pass through, while regions that are painted black on at least one side do not allow light to pass through.
Given that the total area of the regions that do not allow light to pass through is 35 square units, what is the total area of the regions that allow light to pass through in square units?
A) 18
B) 16
C) 14
D) 12
E) 10

A rectangular piece of paper with a pink front and black back has side lengths in direct proportion to the numbers 3 and 5.
When this paper is folded along the dashed line passing through vertex B as shown in the figure, vertex C comes onto side AD.
Accordingly, what is the ratio of the area of the black triangle formed in Figure 2 to the area of the pink rectangle in Figure 1?
A) $\frac{1}{18}$
B) $\frac{5}{18}$
C) $\frac{5}{9}$
D) $\frac{3}{8}$
E) $\frac{5}{8}$

An 8-program washing machine has 8 lines fixed around its circular button, numbered 1 to 8 as shown in the figure. The distance between any two lines with consecutive numbers is equal, and when the button is turned, whichever line the arrow on it points to, the program corresponding to that line is selected.
When program 7 is selected and the button is turned clockwise by $150^{\circ}$, program 1 is selected.
Accordingly, when program 1 is selected and the button is turned clockwise by $140^{\circ}$, which program is selected?
A) 3
B) 4
C) 5
D) 6
E) 7

Identical boards in the shape of an isosceles trapezoid are joined together as shown in the figure to form a rectangular frame with a short side of 16 cm and a long side of 26 cm on the outside.
A picture is placed inside the frame of this frame such that the entire picture is visible and completely covers the inside of the frame. Accordingly, what is the area of this picture placed in $\mathbf { c m } ^ { \mathbf { 2 } }$?
A) 336
B) 312
C) 288
D) 264
E) 240

The circumference of a circle with radius r is $\text{C} = 2\pi r$, and the area of a circle with radius r is calculated with the formula $A = \pi r^{2}$.
In the figure; a rope that completely wraps around a semicircle with radius R once is unwound and divided into three equal parts. One of these equal parts completely wraps around a semicircle with radius r once.
Accordingly, what is the ratio of the area of the semicircle with radius $R$ to the area of the semicircle with radius $\mathbf{r}$?
A) 3
B) 4
C) 6
D) 8
E) 9

A point selected inside a pentagon is connected to the midpoints of the sides of the pentagon and to one vertex as shown in the figure. In this case, the regions formed are painted in different colors and the areas of these regions are written in square units on the figure.
According to this, what is the difference A - B?
A) 1
B) 1.5
C) 2
D) 2.5
E) 3

The measure of an interior angle of a regular n-sided polygon is calculated as $\frac{(n-2) \cdot 180^{\circ}}{n}$.
A hexagonal piece of paper with red-colored side lengths of 1 unit and black-colored side lengths of x units is cut along two lines parallel to the red-colored sides as shown in the figure to obtain a regular hexagon with a side length of 3 units.
According to this, what is x?
A) 3.5
B) 4
C) 4.5
D) 5
E) 5.5

The total surface area of a rectangular prism with edge lengths $a$, $b$ and $c$ is
$$\mathrm{A} = 2(\mathrm{a} \cdot \mathrm{b} + \mathrm{a} \cdot \mathrm{c} + \mathrm{b} \cdot \mathrm{c})$$
calculated with the formula.
Hakan glues together five identical wooden blocks in the shape of a rectangular prism with edge lengths 2 units, 2 units, and 4 units as shown in the figure to create the letter H.
Accordingly, what is the surface area of the resulting shape in square units?
A) 160
B) 168
C) 176
D) 184
E) 192

The volume of a rectangular prism equals the product of its base area and height.
Nihat wants to place tea boxes in the shape of a rectangular prism with dimensions 2 units, 3 units, and 4 units, which are on a shelf, into an empty cubic box in such a way that there is no space left on the bottom of the box and the boxes do not overlap.
Nihat calculates that if he places these boxes with heights of 2 units, 8 boxes will remain on the shelf, and if he places them with heights of 3 units, 2 boxes will remain on the shelf.
Accordingly, what is the total volume of the boxes initially on the shelf in cubic units?
A) 360
B) 432
C) 480
D) 576
E) 600

When 6 of the integers from 1 to 9 are placed in the boxes below such that each box contains a different number, all equalities are satisfied.
$$\begin{aligned} & \square + \square = 5 \\ & \square - \square = 5 \\ & \square : \square = 5 \end{aligned}$$
Accordingly, what is the sum of the unused integers?
A) 23
B) 21
C) 19
D) 17
E) 15

The red needle on the equally spaced radio frequency adjustment indicator of a radio shows the frequency of the radio being tuned.
Accordingly, which of the following is the radio frequency shown by the red needle of the radio in the figure?
A) 94.2
B) 94.8
C) 95.2
D) 95.4

Let $a$, $b$, and $c$ be prime numbers,
$$a ( a + b ) = c ( c - b ) = 143$$
Given the equalities, accordingly, what is the sum $a + b + c$?
A) 22
B) 26
C) 30
D) 32

For a project, 16 schools were selected from each of Turkey's 81 provinces, and a message was sent to each school's principal. Then, each school's principal sent this message to 35 teachers in their school.
Accordingly, what is the total number of principals and teachers to whom this message was sent?
A) $4^{6}$
B) $5^{6}$
C) $6^{6}$
D) $7 \cdot 5^{5}$
E) $8^{6}$

When the numbers $-4, -1, 2$ and $8$ are placed in the boxes above, with each box containing a different number, which of the following cannot be the result of the operation formed?
A) $-10$
B) $-4$
C) $-1$
D) $2$
E) $8$

The difference between the heights of a building and a tree on flat ground is 8 meters. After some time, the tree's height doubled and this difference became 3 meters.
Accordingly, the building's height I. 13 meters II. 16 meters III. 19 meters which of these values could it be?
A) Only I
B) Only II
C) I and III
D) II and III
E) I, II and III

An ATM machine provides the requested amount of money using the minimum number of 5 TL, 10 TL, 20 TL, 50 TL, and 100 TL banknotes. With sufficient quantities of each banknote available, Ahmet withdraws 495 TL, Buse withdraws 265 TL, and Cansu withdraws 550 TL from this ATM.
If the number of banknotes given by the ATM to Ahmet, Buse, and Cansu are $\mathbf{P}_{\mathbf{A}}, \mathbf{P}_{\mathbf{B}}$ and $\mathbf{P}_{\mathbf{C}}$ respectively, which of the following rankings is correct?
A) $\mathrm{P}_{\mathrm{A}} < \mathrm{P}_{\mathrm{B}} < \mathrm{P}_{\mathrm{C}}$
B) $\mathrm{P}_{\mathrm{A}} < \mathrm{P}_{\mathrm{C}} < \mathrm{P}_{\mathrm{B}}$
C) $\mathrm{P}_{\mathrm{B}} < \mathrm{P}_{\mathrm{A}} < \mathrm{P}_{\mathrm{C}}$
D) $\mathrm{P}_{\mathrm{B}} < \mathrm{P}_{\mathrm{C}} < \mathrm{P}_{\mathrm{A}}$
E) $\mathrm{P}_{\mathrm{C}} < \mathrm{P}_{\mathrm{B}} < \mathrm{P}_{\mathrm{A}}$

Where $a$ and $b$ are integers, $$a + 5b, \quad 2a + 3b \quad \text{and} \quad 3a + b$$ It is known that two of these numbers are odd and one is even.
Accordingly, I. (expression from figure) II. $2a + b$ III. $a \cdot b$ which of these expressions is an even number?
A) Only II
B) Only III
C) I and II
D) I and III
E) II and III

On the number line given below, the distance of K to 1 is equal to the distance of L to 2.
Accordingly, which of the following could be the value of the product $K \cdot L$?
A) A
B) B
C) C
D) D
E) E

Fatma and U\u011fur collected 10, 15, and 30 gram chocolates. Together they collected a total of 255 grams of chocolate.
When they returned home, after both of them gave some of their collected chocolates to their sister Nilay, each of the three siblings had an equal weight of chocolate.
Given that Nilay had no chocolate initially, how many chocolates does she have in the final situation?
A) 7
B) 6
C) 5
D) 4
E) 3

A three-digit natural number whose digits are different from each other and from zero is called a middle-divisible number if the digit in the tens place divides the digits in the other places. For example, 428 is a middle-divisible number. Accordingly, what is the difference between the largest middle-divisible number and the smallest middle-divisible number?
A) 723
B) 727
C) 736
D) 742
E) 745

Furkan measures his height against a wall every five years and marks it on the wall, writing it as a three-digit natural number in centimeters.
It is known that Furkan's height increased by 36 cm in the first five years and by 40 cm in the second five years. Given that $A$, $B$, and $C$ are non-zero digits, what is the sum $A + B + C$?
A) 15
B) 14
C) 13
D) 11
E) 10

Some digits in the 11-digit phone numbers of Ayla and Berk are given as follows. $$\begin{aligned} & \text{Ayla} \longrightarrow 05{*}{*}{*}{*}{*}7235 \\ & \text{Berk} \longrightarrow 05{*}{*}{*}{*}{*}9415 \end{aligned}$$ Let $A$ be the set of digits in Ayla's phone number and $B$ be the set of digits in Berk's phone number, where $$\begin{aligned} & s(A) = 9 \\ & s(B) = 6 \end{aligned}$$ It is known that $A \cap B = \{0, 1, 4, 5, 6\}$. What is the sum of the values of elements in the set $A \setminus B$?
A) 18
B) 20
C) 21
D) 26
E) 27