Graduate Management Admission Test (GMAT) Practice Test

What property do the elements of an evenly spaced set with an even increment share?

1. All elements are odd

2. All elements are prime

3. All elements are even

4. They are all multiples of 3

The correct answer is: All elements are even

The elements of an evenly spaced set with an even increment will share the property of being even. When you have an initial element in such a set and a constant increment that is an even number, each subsequent element will also be even. This is because adding an even number to an even number (or starting from an even number) will always result in another even number. For instance, if the first element of the set is 2 and the increment is 2, the series generated would be 2, 4, 6, 8, and so forth, which are all even numbers. In contrast, the options referring to being odd, prime, or multiples of 3 do not hold universally for an evenly spaced set defined by an even increment. Odd numbers cannot consistently result from adding an even increment to an even starting point. Additionally, prime numbers are not guaranteed; many even numbers (except for 2) are not prime. Lastly, being a multiple of 3 is also not a consistent trait, as the spacing does not assure that all numbers will fall within that category regardless of the increment chosen.