Institution: Bangladesh Bank Exam: Officer (General) -Ansar VDP Unnayan | BD House Building Finance Corporation 28.09.2018 ||
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To solve the problem, let’s define the unknown number as \( x \). According to the given statement, the number \( x \) is "as much greater than 36 as it is less than 86." This implies two key relationships:

1. The difference between \( x \) and 36 can be expressed as:
\[
x - 36
\]

2. The difference between 86 and \( x \) can be expressed as:
\[
86 - x
\]

Since the two expressions represent the same quantity (the amount that \( x \) is greater than 36 equals the amount that it is less than 86), we can set them equal to each other:
\[
x - 36 = 86 - x
\]

Now, solving for \( x \):

1. Add \( x \) to both sides:
\[
2x - 36 = 86
\]

2. Add 36 to both sides:
\[
2x = 122
\]

3. Divide both sides by 2:
\[
x = 61
\]

Thus, we find that the number is \( 61 \). To verify, we can check the differences:

- The amount greater than 36 is \( 61 - 36 = 25 \).
- The amount less than 86 is \( 86 - 61 = 25 \).

Both differences are equal, confirming that the correct answer is indeed \( 61 \) (option C).