Two cyclists with speeds of 20 km/h and 24 km/h start moving from the same point at the same time in the same direction on a circular track.
When the slower cyclist completes the 2nd lap, the faster cyclist is 6 km away from completing the 3rd lap.
Accordingly, what is the length of the track in km?
A) 9
B) 10
C) 12
D) 15
E) 18

A stone artist creates flower or star motifs by stacking colored stones on top of each other.
This artist creates:

• a flower motif with 4 rows of 25 stones each,
• a star motif with 3 rows of 30 stones each in each row.

This artist created 12 motifs using a total of 1150 stones.
Accordingly, how many flower motifs did the artist create?
A) 4
B) 6
C) 7
D) 9
E) 10

In a restaurant, when 2 pide menu items are purchased, 1 cinema ticket is given as a gift. The price of 1 cinema ticket sold at the cinema box office is 5 TL more than the price of 1 pide menu.
Four friends going to the cinema together bought 4 menus from this restaurant, won 2 gift tickets, and also purchased the other 2 tickets from the cinema box office.
Given that these four friends spent a total of 88 TL, what is the price of 1 cinema ticket sold at the box office in TL?
A) 14
B) 15
C) 16
D) 17
E) 18

A tailor uses two rulers of lengths 40 cm and 50 cm to take measurements. Zeynep ordered 6 meters of fabric from this tailor. The tailor prepared this order thinking he was using the 50 cm ruler, but mistakenly used the 40 cm ruler.
Due to this measurement error, how many meters less fabric did Zeynep receive than she should have?
A) 0.8
B) 1
C) 1.2
D) 1.5
E) 1.8

In a company, 144 files to be examined were distributed equally among all employees. After Bah\-ad\-\i{}r examined the number of files that fell to his share, he went on leave, and 4 employees did not examine any files because they left the job.
The employees who were not on leave equally shared the files of these people who left the job and examined these files along with the files that initially fell to their shares.
Given that Bah\-ad\-\i{}r examined half the number of files that a coworker examined, how many files did Bah\-ad\-\i{}r examine?
A) 12
B) 16
C) 18
D) 24
E) 36

In a fruit juice factory, orange juice produced is filled into 1-liter glass bottles or 1.5-liter cardboard boxes. In this factory:

• the cost of one bottle of orange juice is 2.5 TL,
• the cost of one box of orange juice is 2.7 TL

In this factory, the cost of one bottle is 0.6 TL more than the cost of one box.
Accordingly, what is the cost of one bottle in TL?
A) 1.2
B) 1.1
C) 1
D) 0.9
E) 0.8

Engin will fill a table with columns for name, surname, and date of birth consisting of 100 rows to record personnel information at his workplace.
When Engin fills the table, he makes errors in 16 rows in the name column, 18 rows in the surname column, and 22 rows in the date of birth column. It is observed that for each person where he made an error, he filled only one column correctly.
Accordingly, how many personnel did Engin record all information correctly for?
A) 70
B) 72
C) 74
D) 76
E) 78

Banu sells tickets for a three-car passenger train. After selling a certain number of tickets, Banu sees that 6 seats in the first car and 13 seats in the second car remain empty.
Banu calculates how many tickets she needs to sell at minimum to guarantee selling at least one ticket from each of the three cars and finds the result to be 23.
Accordingly, what is the total number of empty seats in the train?
A) 24
B) 28
C) 30
D) 33
E) 35

The linear graph below shows how the amount of water flowing into a pool from taps A and B changes over time.
When taps A and B are opened at the same time with the pool empty, the pool fills in 36 minutes.
If the amount of water flowing from tap A per minute is tripled, how many minutes will this tap alone take to fill the empty pool?
A) 54
B) 48
C) 45
D) 42
E) 35

In a competition, a prize of 1080 TL will be distributed among the competitors who placed in the top three in the ratio 3:2:1.
Each of these competitors who came to receive their prize money was able to receive the portion of their prize that could be paid in 50 TL banknotes.
Accordingly, what is the total prize amount that the competitors were able to receive in TL?
A) 850
B) 900
C) 950
D) 1000
E) 1050

$ABC$ right triangle $\mathrm { AB } \perp \mathrm { AC }$ $\mathrm { m } ( \widehat { \mathrm { ECA } } ) = 40 ^ { \circ }$ $\mathrm { m } ( \widehat { \mathrm { AEC } } ) = 88 ^ { \circ }$ $\mathrm { m } ( \widehat { \mathrm { AEB } } ) = 125 ^ { \circ }$ $m ( \widehat { A B E } ) = x$ According to the given information above, what is x in degrees?
A) 11
B) 13
C) 15
D) 17
E) 19

Squares numbered I and II are cut from the rectangle with side lengths 6 units and 10 units shown in the figure to obtain the colored rectangle.
Accordingly, what is the area of the colored rectangle in square units?
A) 8
B) 10
C) 12
D) 14
E) 16

A designer created a pattern by drawing quarter circles with a radius of 2 units on unit squares as shown in the figure.
What is the perimeter length of this pattern in units?
A) $18 \pi$
B) $20 \pi$
C) $24 \pi$
D) $25 \pi$
E) $27 \pi$

ABCD parallelogram DB diagonal $| \mathrm { AE } | = 3$ units $| \mathrm { EB } | = 5$ units
The areas of the colored triangles in the figure are equal to each other. Given that the area of this parallelogram is 30 square units, what is the area of triangle BCF in square units?
A) 8
B) 9
C) 10
D) 11
E) 12

A square right prism with base edge 1 unit and height 3 units, and a hollow solid with dimensions $4 \times 4 \times 1$ obtained by joining four of these prisms are shown below.
What is the surface area of this solid obtained in square units?
A) 32
B) 36
C) 42
D) 44
E) 48

$\frac { 5 - \frac { 25 } { 9 } } { \frac { 2 } { 3 } } - \frac { 1 } { 3 }$\ What is the result of this operation?\ A) 1\ B) 2\ C) 3\ D) 4\ E) 5

$\frac { \frac { 3 } { 2 } + \frac { 4 } { 3 } } { \frac { 2 } { 3 } + \frac { 3 } { 4 } }$
What is the result of this operation?
A) $\frac { 3 } { 2 }$ B) $\frac { 5 } { 2 }$ C) $\frac { 4 } { 3 }$ D) 2 E) 3

$\frac { 60 ^ { 2 } \cdot 3 } { 15 ^ { 3 } }$\ What is the result of this operation?\ A) 2.4\ B) 2.6\ C) 2.8\ D) 3\ E) 3.2

$$\frac { 5 ^ { 3 } \cdot 2 ^ { 4 } + 5 ^ { 4 } \cdot 2 ^ { 3 } } { 35 }$$
What is the result of this operation?
A) 200 B) 225 C) 250 D) 275 E) 300

$\frac { \sqrt { 48 } + \sqrt { 75 } } { \sqrt { 108 } - \sqrt { 27 } }$\ What is the result of this operation?\ A) 1\ B) 2\ C) 3\ D) 4\ E) 5

Let A and B be non-zero digits,
$$\begin{array} { r } A B 8 \\ - \quad A B \\ \hline 49 B \end{array}$$
Accordingly, what is the sum $\mathrm { A } + \mathrm { B }$?
A) 9 B) 10 C) 11 D) 12 E) 13

$$\begin{aligned} & \mathrm { a } = \frac { \sqrt { 2 } } { 2 } \\ & \mathrm {~b} = \frac { \sqrt { 5 } } { 3 } \\ & \mathrm { c } = \frac { \sqrt { 7 } } { 4 } \end{aligned}$$
Which of the following orderings is correct for these numbers?
A) a $<$ b $<$ c B) b $<$ a $<$ c C) b $<$ c $<$ a D) c $<$ a $<$ b E) c $<$ b $<$ a

Let $a$ and $b$ be integers,
$$a ^ { 2 } + a b + a + b$$
It is known that this number is odd.
Accordingly,
I. a II. $\mathrm { a } + \mathrm { b }$ III. ab
Which of these numbers are even?
A) Only I B) Only II C) I and III D) II and III E) I, II and III

Let $\mathbf { a } , \mathbf { b }$ and $\mathbf { c }$ be positive real numbers,
$$\begin{aligned} & a \cdot b + a \cdot c = 45 \\ & \frac { a } { b + c } = \frac { 4 } { 5 } \end{aligned}$$
Accordingly, what is the sum $\mathbf { a } + \mathbf { b } + \mathbf { c }$?
A) 9 B) 18 C) 27 D) $\frac { 9 } { 2 }$ E) $\frac { 27 } { 2 }$

$x$ and $y$ are positive real numbers for which
$$\frac { x - y } { x \sqrt { y } + y \sqrt { x } } = \frac { 1 } { \sqrt { x } }$$
the equality holds.
Accordingly, what is the ratio $\frac { x } { y }$?
A) 4 B) 2 C) 1 D) $\frac { 9 } { 4 }$ E) $\frac { 1 } { 2 }$