Graduate Management Admission Test (GMAT) Practice Test

What is the result of the operation even/even?

1. Even, Odd

2. Even, Non-integer

3. Non-integer

4. Odd, Non-integer

The correct answer is: Even, Non-integer

To understand the result of the operation even/even, it is essential to realize what an "even" number is. An even number is any integer that is divisible by 2. When you divide one even number by another even number, you can express both numbers as 2n and 2m, where n and m are integers. When you perform the division of two even numbers like this, it simplifies to (2n)/(2m) = n/m. The result of the division depends on the relationship between n and m. If n is not a multiple of m, the result won’t be an integer. However, considering the options presented, the operation even/even cannot result in a non-integer if both numbers are chosen such that n is a multiple of m. Thus, the answer that states even/non-integer reflects the variability of the division's outcome based on those integers involved: if n and m are selected such that the division isn’t clean, the quotient will indeed be a non-integer. This reasoning aligns well with the properties of even numbers and how integer division works generally, confirming that even numbers divided by other even numbers can yield both even integers and non-integer results depending on the specific values