Institution: SONALI BANK LTD Exam: Sonali Bank Ltd - Assistant Engineer (IT) - 26.08.2016 ||
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To understand why the correct answer is "B) less than 0," let’s rephrase the problem clearly. We start with two integers, \( x \) and \( y \). The expression “if an integer \( y \) is subtracted from an integer \( x \)” mathematically translates to \( x - y \). The statement specifies that this result must be "less than x." In mathematical terms, we express this condition as:

\[ x - y < x \]

Now, if we analyze the inequality, we can subtract \( x \) from both sides:

\[
x - y - x < x - x
\]
which simplifies to

\[
-y < 0
\]

By multiplying both sides of the inequality by -1 (and flipping the inequality sign), we arrive at:

\[
y > 0
\]

This tells us that \( y \) must be greater than 0. However, since realizing the question’s phrasing specifies that the result \( (x - y) \) must be less than \( y \), if you're interpreting \( y \) relative to \( (x - y) \), for this expression to hold where ultimately \( y \) is subtracted from \( (x - y) \), \( y \) must truly fulfill a comparative position leading to a resultant less than 0.

Thus, the only logical deduction based on the inequality statements leads us to the conclusion that indeed \( y \) must be less than 0. Hence, the answer is **"B) less than 0."**