Graduate Management Admission Test (GMAT) Practice Test

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Practice this question and more.

Which of the following statements about even numbers is true?

All even numbers add up to form an odd number
The average of any even set is even
Even numbers can only be divided by odd numbers
The sum of even numbers is always an odd number

The correct answer is: The average of any even set is even

The statement that the average of any even set is even is accurate. An even number is defined as an integer that is divisible by 2, which means it can be expressed in the form of 2n, where n is an integer. When calculating the average, you add together all the numbers in the set and divide by the count of those numbers. If all the numbers in the set are even, their sum will also be even since the addition of any two even numbers results in an even number. For example, if you have two even numbers like 4 and 6, their sum is 10, which is even. When you divide this sum by the count of numbers (which is also an integer), the result is still even. This holds true no matter how many even numbers are included in the set. This reinforces that the average of an even set results in an even number, making this statement true. The other options either misrepresent the properties of even numbers or present inaccuracies regarding their mathematical behavior.