Graduate Management Admission Test (GMAT) Practice Test

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What can be said about the result of dividing a non-integer by an odd number?

  1. It will always be an integer

  2. It may be a non-integer

  3. It will never be a whole number

  4. It can be an even number

The correct answer is: It may be a non-integer

Dividing a non-integer by an odd number may yield a non-integer result. When a non-integer is divided by any integer, including an odd number, the outcome can either remain a non-integer or be a simpler form of a fraction, which still does not yield a whole number unless the non-integer was divisible by the odd number in such a way that it simplifies to an integer. For example, consider the non-integer value 7.5 being divided by the odd number 3. The result is 2.5, which is a non-integer. Therefore, this demonstrates that the division can indeed yield a non-integer result. It is important to note that while dividing a non-integer by an odd number can lead to non-integers, it does not guarantee that the result will be an integer or an even number, as integers and even numbers have specific definitions that do not align with the general outcome of such a division.