The three-digit natural number ABA divided by the two-digit natural number A1 gives a quotient of 13 and a remainder of 19.
Accordingly, what is the sum $A + B$?
A) 8
B) 9
C) 10
D) 11
E) 12

Where $a$ and $b$ are integers, $$a + 5b, \quad 2a + 3b \quad \text{and} \quad 3a + b$$ It is known that two of these numbers are odd and one is even.
Accordingly, I. (expression from figure) II. $2a + b$ III. $a \cdot b$ which of these expressions is an even number?
A) Only II
B) Only III
C) I and II
D) I and III
E) II and III

A three-digit natural number whose digits are different from each other and from zero is called a middle-divisible number if the digit in the tens place divides the digits in the other places. For example, 428 is a middle-divisible number. Accordingly, what is the difference between the largest middle-divisible number and the smallest middle-divisible number?
A) 723
B) 727
C) 736
D) 742
E) 745

Furkan measures his height against a wall every five years and marks it on the wall, writing it as a three-digit natural number in centimeters.
It is known that Furkan's height increased by 36 cm in the first five years and by 40 cm in the second five years. Given that $A$, $B$, and $C$ are non-zero digits, what is the sum $A + B + C$?
A) 15
B) 14
C) 13
D) 11
E) 10

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

Let $p$ and $r$ be distinct prime numbers. The number $180 \cdot r$ is an integer multiple of the number $p$.
Accordingly, the prime number $p$ definitely divides which of the following numbers?
A) $12 \cdot r$
B) $18 \cdot r$
C) $20 \cdot r$
D) $30 \cdot r$
E) $45 \cdot r$

Let $m$ and $n$ be positive integers such that
$$\begin{aligned} & \gcd ( m , n ) + \text{lcm} ( m , n ) = 289 \\ & m + n \neq 289 \end{aligned}$$
What is the sum $m + n$?
A) 41
B) 43
C) 45
D) 47
E) 49

Let $a, b, c$ and $d$ be positive integers. $$\begin{aligned} & M = 6^{a} \cdot 5^{b} \\ & N = 10^{c} \cdot 9^{d} \end{aligned}$$ For the numbers $M$ and $N$ $$\begin{aligned} & \gcd(M, N) = 2^{3} \cdot 3^{2} \cdot 5 \\ & \text{lcm}(M, N) = 2^{5} \cdot 3^{3} \cdot 5^{5} \end{aligned}$$ are given. Accordingly, what is the sum $a + b + c + d$?
A) 8 B) 9 C) 10 D) 11 E) 12

The sum of five distinct prime numbers equals 100, and their product equals a six-digit natural number ABCABC.
Accordingly, what is the sum $A + B + C$?
A) 8 B) 11 C) 14 D) 17 E) 20