banksy wrote:

217. If x is not equal to 1, is x^2/(x-1) greater than x?

(1) x is not an integer.

(2) x is positive.

Is

\frac{x^2}{x-1}>x --> is

\frac{x^2}{x-1}-x>0? --> is

\frac{x^2-x^2+x}{x-1}>0 --> is

\frac{x}{x-1}>0 --> is

x<0 or

x>1?

(1) x is not an integer --> clearly insufficient: for example if

x=1.5 the the answer will be YES but if

x=0.5 then the answer will be NO.

(2) x is positive. Also not sufficient.

(1)+(2) The values of

x from (1) also satisfy (2) (x can be positive fraction from the range (0,1) or some non integer more than 1) thus even taken together statements are not sufficient.

Answer: E.