Question

The cube of a number is less than its square in which of the following cases ?

• A. The number lies between -1 and 0
• B. The number is 0
• C. The number lies between 0 and 1
• D. The number lies between 1 and 2

Answer 1

Answer: (A), (C)

The correct options are
A

The number lies between -1 and 0

C The number lies between 0 and 1

Cube of a negative number is negative but square of a negative number is positive. Thus, for a number lying between -1 and 0, the cube is less than its square.
The cube as well as the square of 0 is zero. For decimal numbers less than 1, the cube of a number is lesser than its square. For a number greater than 1, its cube is greater than its square.