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

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

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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

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BTGmoderatorLU wrote:
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

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scott@targettestprep.com



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