Graduate Management Admission Test (GMAT) Practice Test

What is the result of adding an even number to an odd number?

1. Odd

2. Even

3. Both

4. Neither

The correct answer is: Odd

Adding an even number to an odd number results in an odd number. This is due to the basic properties of even and odd integers. An even number can be defined as any integer that is divisible by 2, while an odd number is one that cannot be evenly divided by 2. When you add an even number to an odd number, you take the odd number, which has one unit left over when divided by 2, and the even number, which contributes no additional units. Hence, the sum retains that leftover unit, resulting in an odd number. This understanding of parity (the classification of integers as even or odd) reinforces that the outcome of this addition must always yield an odd result. The reasoning aligns with fundamental number theory, ensuring clarity in identifying the nature of sums involving even and odd integers.