ANSWER
A, C and E.
Step-by-step explanation
Before we pick the right option, we have to define what a perfect square is and what a perfect cube is.
A perfect square is a number that can be expressed as the product of a whole number multiplying itself.
A perfect cube is a number that can be expressed as the product of a whole number multiplying itself 3 times.
So, let us check:
A. 27 is a perfect cube because:
3 * 3 * 3 = 27
B. 2197 is not a perfect square but it is a perfect cube:
13 * 13 * 13 = 2197
C. 16 is a perfect square because:
4 * 4 = 16
D. 9 is not a perfect cube.
E. 6 is neither a perfect square nor a perfect cube.
So, the correct ones are A, C and E.