Statement 1: x² = x³anjaneiya wrote:If X is an integer, what is the value of X ?
1. X^2 = X^3
2. X is both a perfect square and a perfect cube.
.... x³ = x²
=> (x³ - x²) = 0
=> x²(x - 1) = 0
Either x = 0 or x = 1.
Not sufficient.
Statement 2: x is both a perfect square and a perfect cube
x may be 0 or 1 or 64 etc. In general any integer of the form n^6, where n is any integer.
Not sufficient.
1 & 2 Together: Still possible values of x are 0 and 1.
Not sufficient.
The correct answer is E.
