Graduate Management Admission Test (GMAT) Practice Test

What do you get from odd/odd?

1. Even, Non-integer

2. Odd, Non-integer

3. Odd

4. Non-integer

The correct answer is: Odd, Non-integer

When you multiply two odd numbers together, the result is always an odd number. This can be understood through basic properties of integers: 1. An odd number can be expressed in the form of \(2n + 1\), where \(n\) is an integer. For example, if you take two odd numbers, say \(a = 2m + 1\) and \(b = 2k + 1\), where \(m\) and \(k\) are integers, their product is: \[ a \times b = (2m + 1) \times (2k + 1) = 4mk + 2m + 2k + 1 = 2(2mk + m + k) + 1 \] This expression can be rewritten as \(2q + 1\) (where \(q = 2mk + m + k\) is an integer), indicating that the product is odd. Consequently, the correct answer is that the result of multiplying two odd numbers is odd. The other choices suggest results that do not align with the character of multiplying odd integers, such as even or non-integer outcomes, which do not apply here.