Graduate Management Admission Test (GMAT) Practice Test

In any set of four consecutive integers, how many will be a multiple of 4?

1. Zero

2. One

3. Two

4. Three

The correct answer is: One

In any set of four consecutive integers, exactly one of those integers will be a multiple of 4. This can be understood by looking at the properties of integers and their divisibility. Every integer can be expressed in the form of \( n \) where \( n \) is an integer. When considering four consecutive integers, if the first integer is represented as \( n \), the set of integers can be expressed as \( n, n+1, n+2, n+3 \). Among these four integers, one of them will definitely fall on a multiple of 4 due to the way numbers are distributed on the number line. Specifically, multiples of 4 appear at regular intervals: for any integer \( m \), \( 4m \) is a multiple of 4. If you start counting from a multiple of 4: for instance, if \( n \) is a multiple of 4, then the integers would be: - \( n \) (multiple of 4) - \( n + 1 \) (not a multiple of 4) - \( n + 2 \) (not a multiple of 4) - \( n + 3 \) (not a multiple of