Institution: Bank Asia Ltd Exam: Bank Asia Ltd - Trainee Officer - 28.10.2016 ||
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To determine the next number in the sequence '27, 22, 50, 13, 12, 26, 9, 2', we can first look for any patterns or relationships among the numbers. Breaking them down, we find that the pattern involves alternating groups where one set seems to decrease while another set seems to increase or display a more complex relationship.

1. Start with the first half: 27, 50, 12, 9.
- The differences in this set can be noted: 27 to 50 is an increase of 23, while the next jumps back down to 12 results in a decrease of 38, then further decreasing to 9 by 3.

2. The second half of the sequence: 22, 13, 26, 2 also shows a relationship.
- Here, the differences are: 22 decreases to 13 (a decrease of 9), then jumps to 26 (an increase of 13), and finally declines dramatically to 2 (a decrease of 24).

By noticing how the sequence alternates between decreasing and increasing at varying intervals, we can infer that decreasing is dominant. Following this logic, after '2', we would look for the result back down from another peak and find that '4' is a logical progression, following the pattern of rapid decline we observe in the latter half. Therefore, the correct answer is D) 4.