In an arithmetic progression, if $S_{40} = 1030$ and $S_{12} = 57$, then $S_{30} - S_{10}$ is equal to:
(1) 525
(2) 510
(3) 515
(4) 505

Let $\mathrm { T } _ { \mathrm { r } }$ be the $\mathrm { r } ^ { \text {th} }$ term of an A.P. If for some $\mathrm { m } , T _ { m } = \frac { 1 } { 25 } , T _ { 25 } = \frac { 1 } { 20 }$, and $20 \sum _ { \mathrm { r } = 1 } ^ { 25 } T _ { \mathrm { r } } = 13$, then $5 \mathrm { m } \sum _ { \mathrm { r } = \mathrm { m } } ^ { 2 \mathrm { m } } T _ { \mathrm { r } }$ is equal to
(1) 98
(2) 126
(3) 142
(4) 112

Let $a _ { 1 } , a _ { 2 } , \ldots , a _ { 2024 }$ be an Arithmetic Progression such that $a _ { 1 } + \left( a _ { 5 } + a _ { 10 } + a _ { 15 } + \ldots + a _ { 2020 } \right) + a _ { 2024 } = 2233$. Then $a _ { 1 } + a _ { 2 } + a _ { 3 } + \ldots + a _ { 2024 }$ is equal to $\_\_\_\_$

A company has two new employees, A and B, who start at the same time with the same starting salary. The company promises the following salary adjustment methods for employees A and B:
Employee A: After 3 months of work, starting the next month, monthly salary increases by 200 yuan; thereafter, salary is adjusted in the same manner every 3 months.
Employee B: After 12 months of work, starting the next month, monthly salary increases by 1000 yuan; thereafter, salary is adjusted in the same manner every 12 months.
Based on the above description, select the correct options.
(1) After 8 months of work, the monthly salary in the 9th month is 600 yuan more than in the 1st month
(2) After one year of work, in the 13th month, employee A's monthly salary is higher than employee B's
(3) After 18 months of work, in the 19th month, employee A's monthly salary is higher than employee B's
(4) After 18 months of work, the total salary received by employee A is less than the total salary received by employee B
(5) After two years of work, in the 12 months of the 3rd year, there are exactly 3 months where employee A's monthly salary is higher than employee B's

On day 1, Ismail puts one of each of the following coins into his piggy bank: 5 Kr, 10 Kr, 25 Kr, 50 Kr, and 1 TL. On day 2, he puts two of each, and continuing in this manner, on day n he puts n of each.
If Ismail has saved 104.5 TL in his piggy bank, what is n?
A) 10 B) 11 C) 12 D) 13 E) 14

The sum of all two-digit natural numbers with digit A in the units place is 504. What is A?
A) 5
B) 6
C) 7
D) 8
E) 9

$$A = 13 + 26 + 39 + \cdots + 169$$
Given this, what is the sum of the prime numbers that divide A?
A) 16
B) 18
C) 20
D) 22
E) 24

Filiz creates cup towers by placing identical cardboard cups inside each other. The distance between the bases of every two consecutive cups is equal in all the cup towers she creates. Then, she places these towers on a table and measures their heights.
Filiz observes that the sum of the heights of two towers with 6 and 9 cups equals the height of the tower with 18 cups.
Accordingly, to what height of a cup tower is the sum of the heights of two towers with 8 and 12 cups equal?
A) 23
B) 24
C) 26
D) 27
E) 29

The table below shows some musical note symbols and the duration lengths of these note symbols.
Accordingly, what is the sum of the duration lengths of the musical note symbols given above?
A) $\frac{3}{2}$ B) $\frac{7}{4}$ C) $\frac{5}{4}$ D) $\frac{13}{8}$ E) $\frac{15}{8}$