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turkey-yks 2023 Q20 Combinatorial Counting (Non-Probability)
Yeşim organized a poll on social media with a mosque photo she took in Edirne. After a certain period, the number of votes used for some cities and the ratio of the number of votes used for some cities to the total number of votes as a percentage are given. After this distribution, 5 more votes were cast in total, 4 of which were for Edirne and 1 for Istanbul.
Accordingly, what is the percentage of the number of votes cast for Edirne to the total number of votes in the final situation?
A) 36 B) 38 C) 40 D) 42 E) 44
turkey-yks 2023 Q21 Combinatorial Counting (Non-Probability)
The campaigns at stationery stores $A$ and $B$, which have the same prices for the same type of products, are as follows.
  • At stationery store A, when a backpack is purchased, a pen case is sold at half price.
  • At stationery store B, when 2 of the same type of product are purchased, a 40\% discount is applied to the 2nd product.

Ege and Deniz took advantage of stationery store A's campaign and each bought one backpack priced at 300 TL and one pen case priced at 120 TL.
If Ege and Deniz had each bought one backpack and one pen case of the same type from stationery store B, how much less would the total amount they paid be compared to what they paid to stationery store A?
A) 30 B) 36 C) 42 D) 48 E) 54
turkey-yks 2023 Q23 Combinatorial Counting (Non-Probability)
A painter displayed all of his paintings at his first exhibition and sold some of them. In all subsequent exhibitions, this painter displayed the paintings that were not sold at the previous exhibition together with new paintings he created.
The painter sold $\frac{3}{5}$ of the paintings he displayed at each exhibition. Also, for each exhibition after the first, he created as many new paintings as the number of paintings remaining from the previous exhibition.
Given that the painter sold 96 paintings at his 3rd exhibition, how many paintings did he display at his first exhibition?
A) 100 B) 150 C) 200 D) 250 E) 300
turkey-yks 2023 Q24 Combinatorial Counting (Non-Probability)
Aras divides all of his marbles into groups of 3 and obtains a two-digit natural number AB, and divides them into groups of 8 and obtains a two-digit natural number BA.
According to this, if Aras divides all the marbles he has into groups such that each group has an equal number of marbles, which of the following could be the number of groups he obtains?
A) 40 B) 48 C) 54 D) 56 E) 60
turkey-yks 2023 Q25 Combinatorial Counting (Non-Probability)
Serkan's wardrobe contains three types of clothing: shirt ($G$), pants ($P$), and jacket (C). The numerical distribution of these clothes initially in the wardrobe is shown in the pie chart below.
Serkan takes a certain number of clothes from his wardrobe to dry cleaning. In the final situation, the numerical distribution of the clothes remaining in Serkan's wardrobe shown in the pie chart is the same as the initial one.
Given that Serkan initially had 5 jackets in his wardrobe and he took 1 of these jackets to dry cleaning, how many shirts are left in Serkan's wardrobe?
A) 8 B) 10 C) 15 D) 18 E) 20
turkey-yks 2023 Q26 Combinatorial Counting (Non-Probability)
When Ali dede, whose grandfather's restaurant was founded in 1949, came to the restaurant, he said the following sentence to his grandson.
``In the year this restaurant was founded, I was 11 years old, and in the year you were born, this place had been in service for 40 years.''
Accordingly, what is the sum of the ages of Ali dede and his grandson in 2022?
A) 101 B) 105 C) 109 D) 113 E) 117
turkey-yks 2023 Q28 Combinatorial Counting (Non-Probability)
A tour company has offered three different transportation options: train, bus, and airplane for a tour it will organize to Adana. The company's per-person fare information for this tour according to transportation vehicles and some information about the number of people who chose these transportation vehicles are given in the table below.
\cline{2-4} \multicolumn{1}{c|}{}TrainBusAirplane
Fare (TL)300750
Number of People108

Among the people who participated in this tour; the number of those who chose the bus for transportation is equal to 6 times the number of those who chose the airplane. Also, in this tour, the total fare paid by those who chose the train for transportation is equal to the total fare paid by those who chose the airplane.
Accordingly, what is the total number of people going to Adana with this tour?
A) 165 B) 171 C) 177 D) 183 E) 189
turkey-yks 2023 Q30 Finite Equally-Likely Probability Computation
A stove consisting of 1 large, 2 medium, and 1 small compartment with 4 ignition buttons, each of which activates a different compartment, is shown in the figure below.
Since the directions next to the buttons have been erased, it is not known which button activates which compartment.
Accordingly, when all compartments are closed and two buttons are randomly pressed, what is the probability that one of the medium compartments and the small compartment will activate?
A) $\frac{1}{2}$ B) $\frac{1}{3}$ C) $\frac{2}{3}$ D) $\frac{1}{4}$ E) $\frac{1}{5}$
turkey-yks 2024 Q15 Conditional Probability and Bayes' Theorem
A certain bus arrives at the bus stop near Duru's house with probability $\dfrac{7}{10}$ at exactly 09:02 and with probability $\dfrac{3}{10}$ at exactly 09:03. Duru leaves home at exactly 09:00 to catch this bus. The time it takes for Duru to reach the stop is 100 seconds with probability $\dfrac{1}{2}$, 150 seconds with probability $\dfrac{3}{10}$, and 250 seconds with probability $\dfrac{1}{5}$.
What is the probability that Duru is at the stop when the bus arrives?
A) $\dfrac{55}{100}$ B) $\dfrac{59}{100}$ C) $\dfrac{63}{100}$ D) $\dfrac{67}{100}$ E) $\dfrac{71}{100}$
turkey-yks 2025 Q16 Conditional Probability and Bayes' Theorem
In front of the two doors of a shopping mall, there are 2 parking lots named Blue and Red in front of the first door, and 3 parking lots named Yellow, Orange and Green in front of the second door. Kartal, who came to this shopping mall, randomly came in front of one of the doors and randomly parked his car in one of the parking lots in front of that door and entered the shopping mall. When leaving the shopping mall, since Kartal forgot which parking lot he parked his car in and which door he entered the shopping mall from, he exited from one of the doors randomly and searched for his car in one of the parking lots in front of that door randomly.
Accordingly, what is the probability that the parking lot where Kartal searched for his car is the parking lot where he parked his car?
A) $\frac{1}{5}$ B) $\frac{5}{24}$ C) $\frac{6}{25}$ D) $\frac{7}{36}$ E) $\frac{11}{48}$
turkey-yks 2025 Q29 Combinatorial Counting (Non-Probability)
Aras will complete all of the following activities on a Sunday: exercising, watching a movie, doing homework, doing household chores, and taking a bath. Aras does not start one activity before completing another. Aras must take a bath after exercising, and must complete his homework and household chores before watching a movie.
According to this, in how many different ways can Aras arrange these five activities?
A) 10 B) 15 C) 20 D) 25 E) 30
turkey-yks 2025 Q30 Finite Equally-Likely Probability Computation
Six friends, including Doğa and Duru, came to visit Defne's house. Defne randomly gave gifts to two of these friends.
According to this, what is the probability that Defne gave a gift to at least one of Doğa and Duru?
A) $\frac{2}{3}$ B) $\frac{3}{5}$ C) $\frac{4}{5}$ D) $\frac{8}{15}$ E) $\frac{11}{15}$