Bunuel wrote:

If x and z are positive integers and x + z = 13 what is the ratio of x to z?

(1) xz = 40

(2) z > 2

x + z = 13, so we can say that z = 13 - x

(1) x*z = x(13-x) = 40 Or 13x - x^2 = 40 Or x^2 - 13x + 40 = 0

Factorising this quadratic equation, we get: (x-5)(x-8) = 0. So x can be either 5 (which will give z=8) or x can be 8 (which will give z=5).

Thus ratio of x:z could be either 5:8 or 8:5. So

Not sufficient.

(2) This doesnt tell us anything about x, so definitely

Not Sufficient.

Combining the two statements, we have two cases for x & z respectively as 5,8 and 8,5. And in both cases z is > 2. So still two cases possible. Hence still

Not Sufficient.

Hence

E answer