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132 › McGraw Hill 500 GRE® Math Questions
 439. For which value of x will = − +
+ −
( 3)( 5)
( 2)( 1)
y x x
x x
 equal zero? Indicate all such 
values.
 (A) −5 
 (B) −2 
 (C) 1
 (D) 3
 440. Which of the following statements must always be true? Indicate all such 
statements.
 (A) Every rectangle is a square.
 (B) Every rectangle is a parallelogram.
 (C) Every square is a rectangle.
 (D) Every parallelogram is a rectangle.
 (E) Every square is a parallelogram.
y
x
Y (3, 4)
Z (7, 1)
X (0, 1)
2
1
4
3
2 3 4 5 6 7 81
 441. For triangle XYZ shown in the preceding x-y plane, which of the following 
quantities is irrational? Indicate all such quantities.
 (A) The perimeter of triangle XYZ
 (B) The x-coordinate of the midpoint of XZ 
 (C) The length of YZ 
 (D) The length of the altitude to XZ 
 (E) The area of triangle XYZ
 (F) The length of YX
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