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

True

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False

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The number lies between 0 and 1

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The number lies between 1 and 2

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Solution

The correct options are
A
True

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 lesser 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.

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