Hi jain2016,
This DS question can be solved by TESTing VALUES or Number Properties.
We're asked if A is an integer. This is a YES/NO question.
1) A^3 is an integer.
IF...
A^3 = 1
A = 1
The answer to the question is YES.
IF...
A^3 = 2
A = (cube-root of 2)
The answer to the question is NO.
FACT 1 is INSUFFICIENT
2) The cube root of A is an integer
IF...
(cube-root of A) = 1
A = 1
The answer to the question is YES
IF...
(cube-root of A) = 2
A = 8
The answer to the question is YES
IF...
(cube-root of A) = -3
A = -27
The answer to the question is YES
IF...
(cube-root of A) = 0
A = 0
The answer to the question is YES
FACT 2 is SUFFICIENT
Final Answer: B
GMAT assassins aren't born, they're made,
Rich