To find the quotient of 3 and -33, we divide 3 by -33:
\[
\frac{3}{-33} = -\frac{1}{11}
\]
Now, let's analyze this result:
- **Undefined**: This does not apply here as we can divide 3 by -33.
- **Rational number**: \(-\frac{1}{11}\) is indeed a rational number because it can be expressed as a fraction of two integers (where the denominator is not zero).
- **Irrational number**: This does not apply as \(-\frac{1}{11}\) is not an irrational number; irrational numbers cannot be expressed as fractions of integers.
- **Integer**: This does not apply as \(-\frac{1}{11}\) is not an integer.
Based on this analysis, the correct answer is:
**B. The quotient is a rational number.**