Not Maths

All Questions
The appearance of an application used to adjust the sound level of a computer, consisting of 100 equal units with a speaker symbol at the bottom, is given below.
The sound level of the computer
  • when set to at least 1 and at most 32 units, the symbol appears as I)
  • when set to at least 33 and at most 65 units, the symbol appears as I\textbullet)
  • when set to at least 66 and at most 100 units, the symbol appears as I\textbullet))
On this computer, which is initially at a certain sound level, if the sound level is increased by 17 units, the symbol appears as I(\textbullet)), and if the initial sound level is decreased by 18 units, the symbol appears as I).
Accordingly, what is the sum of the integer values that the initial sound level can take in units?
A) 95
B) 96
C) 97
D) 98
Two friends sitting in a café drank 5 cups of tea, 1 cup of orange juice, and ate dessert. Part of the bill that the two friends paid is given in the figure.
Accordingly, if these two friends had drunk how many more cups of tea, would the total bill they would pay equal $\frac{2}{7}$ of the amount they paid for dessert?
A) 5
B) 7
C) 9
D) 11
E) 13
A stationery store sells red and blue colored pens with the same tag prices. In a campaign conducted at this stationery store, red pens are sold with the second one at 50\% discount, and blue pens are sold at 30\% discount from the tag price.
A person who bought 2 of each of the red and blue pens from this stationery store paid 4.5 TL less for the blue pens than for the red pens.
Accordingly, what is the tag price of one of these pens in TL?
A) 45
B) 40
C) 35
D) 30
E) 25
Two vehicles, one from city $A$ and one from city $B$, start moving towards each other at constant speeds on the road between these two cities and meet after some time. The vehicle starting from city $A$ reaches city $B$ 250 minutes after their meeting, and the vehicle starting from city $B$ reaches city $A$ 160 minutes after their meeting.
Accordingly, how many minutes after starting did these vehicles meet?
A) 170
B) 180
C) 190
D) 200
E) 210
For each person attending an event, either a meat or vegetable menu will be ordered for lunch. After the order was placed, 10 different people wanted to change their menu, and due to this change, the total amount to be paid increased by 80 TL.
Given that the price of the meat menu is 20 TL more than the price of the vegetable menu, how many people wanted to change their menu from vegetable to meat?
A) 5
B) 6
C) 7
D) 8
E) 9
In a neighborhood with 95 buildings, each building is either 2 or 3 stories. Within the scope of urban renewal, 15 of these buildings are demolished and replaced with 5-story buildings each, and the total number of stories of the buildings in the neighborhood increases from 240 to 274.
Accordingly, by what percentage did the number of 3-story buildings in the neighborhood decrease as a result of urban renewal?
A) 16
B) 18
C) 20
D) 22
E) 24
Ceyda plans to take an equal number of steps each day for a week. The graph below shows the difference between the number of steps Ceyda took daily and the number of steps she planned to take during this week.
For example, Ceyda took 50 more steps than planned on Monday and 100 fewer steps than planned on Tuesday.
On Friday, Ceyda took 165 more steps than on Thursday and 10 fewer steps than on Saturday, and after 7 days, the total number of steps she took was equal to the number of steps she initially planned to take.
Accordingly, how many more steps did Ceyda take on Friday than the number of steps she planned to take daily?
A) 85
B) 90
C) 95
D) 100
E) 105
Duygu, who starts running on a running course, takes a break to rest after running a certain distance.
After the break, Duygu
  • if she runs 240 meters more, she will have run $\frac{7}{12}$ of the entire course,
  • if she runs $\frac{1}{3}$ of the distance she ran before, she will have run $\frac{3}{5}$ of the entire course.

Accordingly, what is the length of the entire course in meters?
A) 1440
B) 1620
C) 1800
D) 1980
E) 2160
Boxes A, B, C, and D contain a certain number of balls. The number of balls in box A is:
  • equal to 2 times the number of balls in box B,
  • equal to 3 times the number of balls in box C,
  • equal to 4 times the number of balls in box D.

If one of the boxes contains 8 balls, how many balls are there in total in these boxes?
A) 30
B) 36
C) 40
D) 44
E) 50
Districts A, B, and C and the roads between these districts are shown in the figure below.
The road distances of points D and E, which are on these roads, to some districts are given in the tables on the signs.
Accordingly, what is the difference between the road distance from district C to district B and the road distance from district C to district A in km?
A) 6
B) 8
C) 10
D) 12
E) 14
A triangular ABC cardboard with vertices labeled with letters A, B, and C is shown as in Figure 1. 3 ABC cardboards can be assembled on a flat surface as shown in Figure 2 by overlapping the A vertices and leaving no gaps between the edges and without the cardboards overlapping.
The same process can be done using 9 ABC cardboards by overlapping the B vertices.
Accordingly, using how many ABC cardboards can this process be done by overlapping the C vertices?
A) 10
B) 12
C) 15
D) 18
E) 20
5 identical isosceles right triangles with right-angled side lengths of 1 unit are arranged as shown in Figure 1 such that their hypotenuses are on the same line and the vertices of adjacent triangles coincide.
Then triangle $ABC$ is rotated around point $A$ by some amount, and as shown in Figure 2, points B, C, and D become collinear.
Accordingly, what is the distance between points C and D in the final position in units?
A) 4
B) 5
C) 6
D) $3\sqrt{2}$
E) $4\sqrt{2}$
A seesaw on a flat ground as shown in Figure 1 consists of a straight segment 30 units long and a straight support 9 units long located at the exact center of this segment.
As shown in Figure 2, when the left end of the seesaw touches the ground, a shaded region in the shape of a right trapezoid is formed on the right side.
Accordingly, what is the perimeter of this trapezoid in units?
A) 54
B) 55
C) 56
D) 57
E) 58
A rectangular frame with side lengths 30 and 40 units is hung on a wall with nails at four corners as shown in Figure 1, with side AB parallel to the ground and at height $h$ units from the ground. Then, except for the nail at corner A, the other nails loosen and fall, and the frame rotating around corner A comes to rest as shown in Figure 2 with all corners touching the wall when corner C touches the ground.
If the heights of corners B and D from the ground are equal in this equilibrium position, what is $h$ in units?
A) 42
B) 48
C) 54
D) 60
E) 64
A rectangular towel has one side blue and the other side white. This towel is hung on a straight rack such that the short sides of the towel are parallel to the rack. The length of the non-overlapping part of the towel's sides is 6 cm when the towel is hung as in Figure 1; and 12 cm when hung as in Figure 2.
The ratio of the area of the blue side of the towel visible in Figure 1 to the area visible in Figure 2 is $\frac{5}{4}$.
Accordingly, what is the length of the long side of the towel in cm?
A) 24
B) 28
C) 30
D) 36
E) 40
In the figure, a regular hexagon and a square sharing one side are given. A regular polygon sharing one side with the regular hexagon and one side with the square is to be drawn as shown in the figure.
Accordingly, how many sides does the regular polygon to be drawn have?
A) 10
B) 12
C) 15
D) 16
E) 18
The front view of a cabinet consisting of five compartments shown in the figure is square-shaped. The door of each compartment is a rectangle with equal areas.
One compartment has been filled with only shirts as shown in the figure.
Accordingly, how many times is the long side of the lid of the compartment containing the shirts compared to its short side?
A) $\frac{4}{3}$
B) $\frac{5}{3}$
C) $\frac{7}{4}$
In the figure, a semicircle with center A and radius $[AC]$ and a semicircle with center B and radius $[BC]$ are given. Point B is on the circle centered at A, and point A is on the circle centered at B.
Accordingly, what is the area of the shaded region in square units?
A) $36\pi$
B) $42\pi$
C) $48\pi$
D) $54\pi$
E) $60\pi$
3 identical isosceles trapezoids are joined together such that any two of them share a vertex as shown below.
One side of the large triangle formed is 6 units, and one side of the small triangle is 3 units.
Accordingly, what is the perimeter of one of these isosceles trapezoids in units?
A) 10
B) 10.5
C) 11
D) 11.5
E) 12
In an amusement park, there is a circular Ferris wheel on flat ground consisting of identical cabins as shown in the figure, rotating in only one direction. A person boards one cabin when the cabin is closest to the ground.
Meryem boards a cabin and after the Ferris wheel rotates $48°$, Nisa also boards a cabin.
Accordingly, after Nisa boards her cabin, when the heights of the cabins where Meryem and Nisa are located are equal for the first time, how many degrees has the Ferris wheel rotated?
A) 130
B) 138
C) 144
D) 150
E) 156
In the square-shaped paper ABCD given in Figure 1, $|\mathrm{DE}| = 6$ and $|\mathrm{BF}| = 9$ units. When this paper is folded along the line segments $[\mathrm{CE}]$ and $[\mathrm{CF}]$ as shown in the figure, the BC side and DC side of the square coincide as shown in Figure 2.
Accordingly, what is the perimeter of square ABCD in units?
A) 64
B) 68
C) 72
D) 76
E) 80
Irem has a cylindrical container completely filled with water and a marble block in the shape of a cylinder with height equal to half the height of this container. When the marble block is placed in the container so that it is completely submerged in water, $\frac{1}{32}$ of the water in the container overflows.
Accordingly, what is the ratio of the base radius of the container to the base radius of the marble block?
A) 2
B) 3
C) 4
D) $2\sqrt{2}$
E) $4\sqrt{2}$
Beyza weighs a water glass using a kitchen scale first when empty, then completely filled with water, and finally with some water in it. The results of these weighing operations in grams are shown below.
Accordingly, what fraction of the glass is full in the last weighing operation?
A) $\frac{1}{2}$ B) $\frac{2}{3}$ C) $\frac{3}{5}$ D) $\frac{4}{7}$ E) $\frac{5}{8}$
A customer going to the checkout to purchase selected items at a store sees the following display on the cashier's screen showing the quantity and unit price information of all products.
A customer who gave 10 TL to the cashier for these products will receive how much change in TL?
A) 0.2 B) 0.4 C) 0.8 D) 1 E) 1.2
Microscopes working with two lenses show the image of objects magnified by the product of the magnification ratios of the lenses.
For example, a microscope with two lenses, one with a magnification ratio of 5 times and the other with a magnification ratio of 20 times, shows the image of the object being examined 100 times larger.
An object with size $12.5 \times 10^{-3}$ mm appears how many mm in a microscope with two lenses with magnification ratios of 4 times and 40 times?
A) 0.1 B) 0.2 C) 1 D) 2 E) 10