If x^2 < x, then x must be

[BTGmoderatorDC]

If x^2 < x, then x must be

A. less than 0
B. equal to 0
C. between 0 and 1
D. equal to 1
E. greater than 1


OA C

Source: GMAT Prep

[Scott@TargetTestPrep]

If x^2 < x, then x must be

A. less than 0
B. equal to 0
C. between 0 and 1
D. equal to 1
E. greater than 1


OA C

Solution:

If x^2 < x, then x is between 0 and 1. For example, if x = 1/2, we have (1/2)^2 = 1/4 < 1/2. (On the other hand, if x is not between 0 and 1, then x^2 ≥ x.)

Answer: C