Two balloons are hung on a string stretched between two walls as shown in the figure. Between these two balloons, 2 white balloons or 4 yellow balloons are to be hung such that the distance between the points where any two adjacent balloons are attached to the string is equal.
The distance between the points where any two adjacent balloons are attached to the string is 18 cm more when white balloons are hung compared to when yellow balloons are hung.
Accordingly, what is the distance in cm between the points where the two initially hung balloons are attached to the string?
A) 135 B) 144 C) 153 D) 162 E) 171

Merve plans a 30-day walking program. On the first day, she walks for a certain duration, and plans to walk 1 minute longer each subsequent day than the previous day. Following this plan for the first 15 days, Merve began to struggle and reduced her walking time by 1 minute each day for the remaining days compared to the previous day.
After 30 days, Merve calculated her total walking time to be 1395 minutes.
Accordingly, how many minutes did Merve's first day walk last?
A) 30
B) 35
C) 40
D) 45
E) 50

For an arithmetic sequence $(a_{n})$,
$$\begin{aligned} & a_{1} \cdot a_{2} \cdot a_{3} = 2 \\ & a_{2} \cdot a_{3} \cdot a_{4} = 14 \end{aligned}$$
are given. Accordingly, what is the product $a_{3} \cdot a_{4} \cdot a_{5}$?
A) 28 B) 35 C) 42 D) 49 E) 56