In the linear graphs below, the first shows the amount of kernel obtained from shelled hazelnuts, and the second shows the amount of hazelnut oil obtained from kernel hazelnuts.
Accordingly, how many liters of hazelnut oil are obtained from 5 kg of shelled hazelnuts?
A) 2.5 B) 3 C) 2 D) 1.5 E) 1

The total amount of oranges and mandarins in a warehouse is 50 tons. 7\% of the oranges and 8\% of the mandarins have rotted. The total amount of rotted oranges and mandarins is 3.8 tons.
Accordingly, how many tons of sound oranges are in the warehouse?
A) 17.5 B) 17.6 C) 18 D) 17 E) 18.6

If 3 women board a bus, $\frac{2}{3}$ of the passengers are women. If 4 men got off the bus, $\frac{1}{4}$ of the passengers would be men.
Accordingly, how many passengers are on the bus?
A) 32 B) 24 C) 21 D) 28 E) 30

The share of kindergartens among all schools in a province was 10\% in 2000 and 15\% in 2010. Of the 50 schools opened in this province between 2000-2010, 20 are kindergartens.
Accordingly, how many kindergartens were there in this province in 2000?
A) 30 B) 40 C) 20 D) 25 E) 35

ABC is an isosceles triangle, [AD] is an angle bisector
$$\mathrm{m}(\widehat{\mathrm{ACB}}) = 40^{\circ}$$ $$\mathrm{m}(\widehat{\mathrm{ADC}}) = x$$
In the isosceles triangle ABC above where $|\mathrm{AC}| = |\mathrm{BC}|$, what is x in degrees?
A) 105 B) 110 C) 115 D) 120 E) 125

ABC is a triangle
$|\mathrm{AD}| = |\mathrm{DC}|$
$|\mathrm{BF}| = |\mathrm{FD}|$
According to the given information above, what is the ratio $\frac{|AF|}{|FE|}$?
A) $\frac{7}{2}$ B) $\frac{8}{3}$ C) 2 D) $\frac{5}{2}$ E) 3

ABCD is a rhombus, DAF is a triangle
$$|CE| = 4 \text{ cm}$$ $$|EB| = 6 \text{ cm}$$ $$|BF| = x$$
According to the given information above, what is $x$ in cm?
A) 10 B) 12 C) 14 D) 9 E) 15

$$\frac { 10,25 } { 0,5 } - \frac { 3,1 } { 0,2 }$$
What is the result of this operation?
A) 5
B) 5,5
C) 6
D) 6,5
E) 7

$$\begin{array} { r } ABC \\ \times \quad 42 \\ \hline \ldots \\ + 864 \\ \hline \ldots \ldots \end{array}$$
According to what is given above, what is the result of the multiplication operation?
A) 8974
B) 9072
C) 9164
D) 9254
E) 9382

$$\begin{aligned} & A = \left[ \frac { -3 } { 2 } , \sqrt { 5 } \right] \\ & B = \left[ \sqrt { 3 } , \frac { 16 } { 3 } \right] \end{aligned}$$
For the closed intervals, how many elements does the set $( A \cup B ) \cap Z$ have? (Z is the set of integers.)
A) 4
B) 5
C) 6
D) 7
E) 8

For positive integers $a , b$ and $c$
$$8! - 6 \cdot ( 6! ) = 2 ^ { a } \cdot 3 ^ { b } \cdot 5 ^ { c }$$
Given that, what is the sum $\mathrm { a } + \mathrm { b } + \mathrm { c }$?
A) 7
B) 8
C) 9
D) 10
E) 11

$$\frac { x } { 2 \cdot 3 \cdot 5 } - \frac { y } { 2 ^ { 2 } \cdot 3 } + \frac { z } { 3 ^ { 2 } \cdot 5 } = \frac { 1 } { 10 }$$
Given that, what is the value of the expression $\mathbf { 6x } - \mathbf { 15y } + \mathbf { 4z }$?
A) 9
B) 11
C) 12
D) 15
E) 18

There is a relationship between positive integers $a$ and $b$
$$a = \operatorname { GCD } ( 2012 , b )$$
Accordingly, I. If a is an odd number, then b is an even number. II. If $a$ is an even number, then $b$ is also an even number. III. If b is an even number, then a is also an even number. Which of the following statements are true?
A) Only I
B) Only III
C) I and II
D) II and III
E) I, II and III

For a three-digit number $ABC$ $ABC = A ^ { 3 } + B ^ { 3 } + C ^ { 3 }$ if this holds, this number is called an Armstrong number. For example, since $153 = 1 ^ { 3 } + 5 ^ { 3 } + 3 ^ { 3 }$, 153 is an Armstrong number.
If the number 3K1 is an Armstrong number, what is the digit K?
A) 5
B) 6
C) 7
D) 8
E) 9

All 60 walnuts will be distributed to $n$ students according to the following conditions:

• Each student will receive an equal number of walnuts.
• Each student will receive at least 2 and at most 10 walnuts.

Accordingly, how many different values can n take?
A) 5
B) 6
C) 7
D) 8
E) 9

For every real number a
$$a = 1 - a$$
is defined in this way. Accordingly, what is the value of $x$ that satisfies the equality $x - 2 = 3 [ x - 1$?
A) $\frac { -1 } { 2 }$
B) $\frac { -2 } { 5 }$
C) $\frac { 3 } { 5 }$
D) $\frac { 5 } { 7 }$
E) $\frac { 2 } { 7 }$

An operation $\Delta$ on the set of real numbers is defined for every real number $\mathrm { a } , \mathrm { b }$ as
$$\mathrm { a } \Delta \mathrm {~b} = \left( \mathrm { a } ^ { 2 } \cdot \mathrm {~b} \right) - \mathrm { a } + \mathrm { b }$$
Given that $x \neq y$ and $x \Delta y = y \Delta x$, what is the product $x \cdot y$?
A) 2
B) 3
C) 4
D) $\frac { 2 } { 3 }$
E) $\frac { 3 } { 4 }$

Ahmet who went to a restaurant has 40 TL, Burak has 30 TL and Cenk has 20 TL.
If these three friends share the 63 TL bill in direct proportion to their money, how much does Ahmet pay?
A) 21
B) 24
C) 25
D) 27
E) 28

A tea factory mixed 15 tons of type A tea costing 12 TL per kilogram with 20 tons of type B tea costing 9 TL per kilogram and sold the resulting blended tea at 11 TL per kilogram.
Accordingly, by how much TL does the revenue from the sale of blended tea exceed the revenue that would be obtained from selling the teas separately?
A) 24000
B) 25000
C) 28000
D) 30000
E) 36000

A certain number of pens will be distributed to a group of students. If these pens were 6 more or 7 fewer, they could be distributed equally without any remainder.
Accordingly, given that this number of pens is more than 112, what is the minimum number of pens?
A) 115
B) 124
C) 126
D) 130
E) 137

In a store, soaps are sold in packs of three and packs of two. The unit price of soaps in the three-pack is 10\% cheaper than the unit price of soaps in the two-pack.
Since the selling price of the three-pack in this store is 3.5 TL more than the selling price of the two-pack, what is the selling price of the two-pack in TL?
A) 7
B) 8
C) 10
D) 12
E) 14

Aysel Hanım exchanged 45 grams of gold on Monday and 30 grams of gold on Tuesday. If she had exchanged 30 grams on Monday and 45 grams on Tuesday, she would have received 60 TL less compared to the first situation.
According to this, by how many TL did the price per gram of gold decrease on Tuesday compared to Monday?
A) 4
B) 5
C) 6
D) 9
E) 15

A pattern is created by painting some squares on a $4 \times 100$ grid paper. In this pattern, the squares in columns corresponding to integer multiples of 2 in row A, integer multiples of 3 in row B, integer multiples of 4 in row C, and integer multiples of 5 in row D are painted.
According to this, in how many of the columns in this pattern are the squares in rows A and D painted, while the others are unpainted?
A) 3
B) 4
C) 5
D) 6
E) 7

The types of vehicles produced at an automotive factory are shown in the diagram. A total of 120 vehicles are produced per day at this factory. Of the passenger vehicles, 15 are diesel and 12 are electric.
Given that the total number of diesel vehicles produced per day is 2 times the total number of gasoline vehicles, how many commercial diesel vehicles are produced?
A) 50
B) 52
C) 55
D) 57
E) 60

10 boxes are placed at equal intervals on a pallet consisting of two semicircles and two parallel line segments, moving in the direction of the arrow, as shown in the figure.
According to this, when the boxes at points A and E are first vertically aligned, where will the box at point K be?
A) Between points A and B
B) At point B
C) Between points B and C
D) At point C
E) Between points C and D