Regarding the number of elements of sets $A$ and $B$
$$\begin{aligned} & s ( A - B ) = s ( B - A ) = s ( A \cap B ) \\ & s ( A \cup B ) = 24 \end{aligned}$$
the equalities are given.
Accordingly, how many elements does set A have?
A) 9 B) 12 C) 15 D) 16 E) 18

A two-digit natural number $AB$ is greater than the two-digit natural number $BA$ by the sum of its digits.
Accordingly, what is the product of the digits of the number AB?
A) 14 B) 16 C) 18 D) 20 E) 22

If the number of elements of a set is an element of that set, then this set is called a "mysterious set".
For example; $K = \{ 3,4,5 \}$ is a mysterious set.
Accordingly, how many subsets of the set $\mathrm { A } = \{ 1,2,3,4,5,6 \}$ are mysterious sets?
A) 16 B) 24 C) 32 D) 40 E) 48

In an experiment in chemistry class, Yamac adds salt to a mixture each time; he adds as many grams of salt as the mixture weighs and uses 4 grams of the resulting mixture. After the third time, Yamac realizes that there is no mixture left and ends the experiment.
Accordingly, how many grams of salt did Yamac add throughout the experiment?
A) 7 B) 7.5 C) 8 D) 8.5 E) 9

In a store, all shirts have a 25\% discount on the tag price. Additionally, in the store, to increase sales, customers who buy two shirts receive an additional 20\% discount on the cheaper one at the discounted price.
A customer who bought two shirts with different prices from this store received an equal amount of discount on each shirt based on the tag prices.
If this customer paid a total of 90 TL to the store, what is the total discount given to the customer in TL?
A) 30 B) 35 C) 40 D) 45 E) 50

Let $a$ and $b$ be natural numbers such that $$\begin{aligned}& 4 \cdot a \equiv 2 ( \bmod 11 ) \\& 4 \cdot b \equiv 5 ( \bmod 7 )\end{aligned}$$ the following congruences are given.\ Accordingly, what is the smallest value that the sum $\mathbf{a+b}$ can take?\ A) 7\ B) 9\ C) 11\ D) 13\ E) 15

The following information is given about three vehicles moving at constant speeds in a course consisting of two sections.
- The first vehicle completed the first section at a speed of 120 kilometers per hour in 8 minutes. - The second vehicle completed the entire course at a speed of 95 kilometers per hour in 12 minutes. - The third vehicle completed the second section in 2 minutes.
Accordingly, what is the speed of the third vehicle in kilometers per hour?
A) 60 B) 80 C) 90 D) 100 E) 120

In a factory where mint and lemon candies are produced, candies are packaged with 10 pieces in each package. These packages contain only mint candies, only lemon candies, or equal numbers of mint and lemon candies.
In this factory, a total of 1200 candies were produced and packaged, of which 400 were lemon.
If the total number of packages containing only one type of candy is 70, how many packages contain only mint candies?
A) 40 B) 45 C) 50 D) 55 E) 60

Nagihan created embroidery on a fabric in a single row using beads and sequins. In one part of this embroidery, she used 4 beads, and in the others, she used 5 beads to create motifs, and placed one sequin between each pair of adjacent motifs.
Nagihan started the embroidery with a motif and ended it with a motif, creating 56 motifs using a total of 300 beads and sequins.
Accordingly, how many motifs did Nagihan create using 5 beads?
A) 15 B) 21 C) 28 D) 36 E) 40

In a classroom where two people sit in each row, $\frac { 1 } { 2 }$ of the female students share a row with a male student; $\frac { 1 } { 3 }$ of the male students share a row with a female student.
If the number of rows with two male students is 12, how many total rows are in the classroom?
A) 24 B) 28 C) 30 D) 32 E) 36

In a basket, there are 9 red balls each weighing 3 kg and 12 blue balls each weighing 6 kg. Some red and some blue balls are taken from this basket and placed in a second empty basket.
As a result of this operation; the average weight of the balls in the first basket is 5 kg, and the average weight of the balls in the second basket is 4 kg.
Accordingly, how many blue balls were placed in the second basket?
A) 2 B) 3 C) 4 D) 5 E) 6

Engin uses the following ingredients for a cake recipe: - 3 cups of flour or 2 cups of semolina - 1 cup of milk - 2 eggs
He has 6 cups of flour, 4 cups of milk, and 10 eggs. Engin made cakes according to this recipe until all his flour ran out. Then, since he had no flour left, he used a sufficient amount of semolina instead and continued making cakes according to the recipe until all his milk ran out.
Accordingly, how many eggs does Engin have left in the end?
A) 1 B) 2 C) 3 D) 4 E) 5

The times for Aslı and Banu, who work at a flower shop, to prepare a rose and a daisy bouquet are given in the table below.

\cline { 2 - 3 } \multicolumn{1}{c|}{}	Aslı's preparation time	Banu's preparation time
Rose bouquet	2 minutes	3 minutes
Daisy bouquet	3 minutes	4 minutes

After the flower shop receives an order consisting of 40 rose and 55 daisy bouquets; Aslı starts preparing the rose bouquets and Banu starts preparing the daisy bouquets. The person who reaches the number in the order first immediately helps the other person prepare the remaining bouquets.
Accordingly, how many minutes does it take to prepare all the orders at the flower shop?
A) 100 B) 120 C) 140 D) 160 E) 180

A factory produced a total of 1800 vehicles of models A, B, and C in 2016, and the distribution of production quantities is shown in the circular graph. A total of 800 vehicles of these three models were sold in 2016. For each vehicle model, the ratio of the number of vehicles sold in 2016 to the number of the same model vehicles produced that year is given as a percentage in the bar graph.
Accordingly, what is the sales percentage of model C vehicles?
A) 54 B) 57 C) 60 D) 63 E) 66

Pelin finds the following menu from a cafeteria at home, with only the hot beverages section torn.
MENU
FOOD: Gözleme: Minced meat, Spinach, Eggplant; Poğaça: Cheese, Potato
BEVERAGES: Cold Beverages: Water, Ayran, Lemonade, Orange juice; Hot Beverages: (torn)
Pelin wants to call this cafeteria and place an order for either "one type of gözleme and one type of cold beverage" or "one type of poğaça and one type of hot beverage". The cafeteria employee says this order can be given in 22 different ways.
Accordingly, how many different types of hot beverages are available at this cafeteria?
A) 1 B) 2 C) 3 D) 4 E) 5

In a game of tag played by Arda, Berk, and Can, the person who is "it" catches one of the others, and the person caught becomes the new "it". Then the game continues in a similar way for the new "it". The following information is given about the probabilities of these three people catching each other.
- If Arda is "it", he catches Berk with 60\% probability and Can with 40\% probability. - If Berk is "it", he catches Arda with 80\% probability and Can with 20\% probability. - If Can is "it", he catches Arda with 40\% probability and Berk with 60\% probability.
If Arda is the first "it" in this game, what is the probability that the 3rd "it" is Arda again, as a percentage?
A) 50 B) 54 C) 58 D) 64 E) 70

For propositions $p$, $q$, and $r$ $$( p \Rightarrow q ) \Rightarrow r$$ it is known that the proposition is false.
Accordingly,\ I. $p \Rightarrow q$\ II. $q \Rightarrow r$\ III. $r \Rightarrow p$\ Which of the following propositions are always true?\ A) Only I\ B) Only II\ C) Only III\ D) I and III\ E) II and III

ABC is an isosceles triangle $\mathrm { D } \in [ \mathrm { BC } ] , \mathrm { B } \in [ \mathrm { AE } ]$ $| \mathrm { AB } | = | \mathrm { BC } |$ $| \mathrm { AC } | = | \mathrm { AD } | = | \mathrm { DE } |$ $\mathrm { m } ( \widehat { \mathrm { ADB } } ) = 111 ^ { \circ }$ $m ( \widehat { B D E } ) = x$
Accordingly, how many degrees is $x$?
A) 15 B) 18 C) 21 D) 24 E) 27

A student made an error while proving the following claim that he believed to be true.
Claim: The number $\pi$ equals the number $e$.\ The student's proof: Let $f ( x )$ and $g ( x )$ be functions for $x > 0$ defined as $\mathrm{f} ( \mathrm{x} ) = \ln ( \pi \mathrm{x} )$ and $\mathrm{g} ( \mathrm{x} ) = \ln ( \mathrm{ex} )$.\ I. For every $x > 0$, the derivatives of functions $f ( x )$ and $g ( x )$ are equal to each other.\ II. Therefore, for every $x > 0$, functions $f ( x )$ and $g ( x )$ are equal to each other.\ III. Since $\ln ( x )$ is one-to-one and $f ( x ) = g ( x )$, we conclude that for every $x > 0$, $\pi x = ex$.\ IV. If two functions are equal for every $x > 0$, then their values at $x = 1$ are the same.\ V. Since the values of the functions $\pi \mathrm{x}$ and $ex$ at $x = 1$ are the same, we conclude that $\pi = \mathrm{e}$.\ In which of the numbered steps did this student make an error?\ A) I\ B) II\ C) III\ D) IV\ E) V

Teacher Aslı created the number 3 on a piece of paper by painting identical equilateral triangles inside an equilateral triangle ABC as shown in the figure.
If the area of equilateral triangle ABC is 96 square units, what is the painted area in square units?
A) 22 B) 27 C) 33 D) 36 E) 44

Given two squares as shown; the area of square ABCD is equal to 2 times the area of square CEFG.
Accordingly, what is the ratio $\frac { | \mathrm { AF } | } { | \mathrm { AG } | }$?
A) $\frac { \sqrt { 5 } } { 2 }$ B) $\frac { 2 \sqrt { 2 } } { 3 }$ C) $\frac { \sqrt { 10 } } { 3 }$ D) $\frac { 2 \sqrt { 2 } } { 5 }$ E) $\frac { \sqrt { 10 } } { 5 }$

A rectangle ABCD with short side 12 units and long side 18 units is folded along AL and KC such that $| \mathrm { KB } | = | \mathrm { LD } | = 4$ units. Then, with M and N being the midpoints of the sides they are on, this resulting shape is folded again along the line MN as shown to form a trapezoid.
Accordingly, what is the area of this trapezoid in square units?
A) 108 B) 105 C) 102 D) 99 E) 96

$ABCDEF$ is a regular hexagon $\mathrm { K } , \mathrm { L } \in [ \mathrm { AD } ]$ $| \mathrm { AB } | = 6$ units $| \mathrm { KL } | = \mathrm { x }$
In the figure, points $K$ and $L$ are on semicircles with diameters $AB$ and $DE$ respectively.
Accordingly, what is $x$ in units?
A) 5 B) 6 C) 9 D) $3 \sqrt { 3 }$ E) $6 \sqrt { 3 }$

OAEF is a rectangle, ABCD is a square $| \mathrm { FE } | = 7$ units $| \mathrm { AB } | = 2$ units $| \mathrm { DE } | = x$
In the figure, points E and C are on a quarter circle with center O.
Accordingly, what is $x$ in units?
A) $\frac { 7 } { 2 }$ B) $\frac { 9 } { 2 }$ C) $\frac { 13 } { 4 }$ D) 3 E) 4

$$6 | \mathrm { AB } | = 3 | \mathrm { BC } | = 2 | \mathrm { CD } |$$
Above, three semicircles with diameters $[ \mathrm { AB } ] , [ \mathrm { BC } ]$ and $[ \mathrm { CD } ]$ with collinear centers are drawn inside a semicircle with diameter [AD], and the region between them is painted as shown in the figure.
If the perimeter of the painted region is $\mathbf { 24 \pi }$ units, what is its area in square units?
A) $44 \pi$ B) $48 \pi$ C) $52 \pi$ D) $56 \pi$ E) $60 \pi$