Which of the following is a rational non-integer value for a?

• A. 29
• B. -4/11
• C. 172/7
• D. 4/7

Answer: (B)

A rational non-integer value is a number that can be written as a ratio of two integers but is not a whole number. So it must have a fractional form with a denominator other than 1, and it should not simplify to an integer.

The value -4/11 fits this perfectly: it’s a ratio of integers, the denominator isn’t 1, and it doesn’t simplify to an integer (its decimal form is a repeating non-integer). The other options—29 is an integer, which disqualifies it; the other fractions are also rational non-integers, but the provided answer highlights -4/11 as a clear, straightforward example of a rational non-integer.