If x is an integer greater than 1, and x^3 – x^2 is a square, then what is the value of x?

(1) x is a divisor of 36
(2) x is a divisor of 30


Question Rephrase: Is x^2(x-1) a square?
Or Is x-1 a square?

For x-1 to be a square the possible x are:2,5,10,17,26,37 etc

From 1: x is a divisor of 36.Which is satisfied byx=2 only.Hence sufficient.

From 2: x is a divisor of 30;3 values qualify:2,5,10;Not Sufficient.

Hence A