Let's call the unknown number \( x \). According to the problem, one-quarter of the difference of the number and 3 is equal to 2. We can write this as an equation:
\[ \frac{1}{4}(x - 3) = 2 \]
To eliminate the fraction, we multiply both sides by 4:
\[ x - 3 = 8 \]
Now, we add 3 to both sides:
\[ x = 8 + 3 \] \[ x = 11 \]
So, the number is \( 11 \).
The correct response is:
11