Graduate Management Admission Test (GMAT) Practice Test

When you divide an odd number by another odd number, the result is not guaranteed to be an integer. To understand this, consider the form of odd numbers: any odd number can be expressed as \(2n + 1\), where \(n\) is an integer. Therefore, when an odd number \(a\) is divided by another odd number \(b\), the expression can be restructured as \((2n_1 + 1) / (2n_2 + 1)\).

Given that both \(a\) and \(b\) might not share common factors, the division could yield a fraction that does not simplify to an integer. For example, if you were to divide 3 (which can be thought of as \(2(1) + 1\)) by 5 (or \(2(2) + 1\)), the result is \(3/5\), which is a non-integer.

This analysis confirms that when you perform the division of one odd number by another, the outcome can often be a non-integer value, leading to the conclusion that option C is a common result in such scenarios.