If x and y are consecutive integers and x < y, then

[BTGmoderatorLU]

Source: Princeton Review

If x and y are consecutive integers and x < y, then y^2 - x^2 must be

A. A prime number.
B. An odd number.
C. An even number.
D. The square of an integer.
E. (y-x)^2

The OA is B

[Scott@TargetTestPrep]

Source: Princeton Review

If x and y are consecutive integers and x < y, then y^2 - x^2 must be

A. A prime number.
B. An odd number.
C. An even number.
D. The square of an integer.
E. (y-x)^2

The OA is B

Since x and y are consecutive integers and x < y, then y = x + 1. Thus, y^2 - x^2 = (x + 1)^2 - x^2 = x^2 + 2x + 1 - x^2 = 2x + 1, which is always an odd number, regardless of what integer x is.

Answer: B