Bunuel wrote:

Tough and Tricky questions: Geometry Problems.

In the figure above, what is the length of AD?

(1) AC = 6

(2) BD = 6

Kudos for a correct solution.Attachment:

2014-12-22_1955.png

We can also solve this question by taking AB=x, BC=y, CD=z. So we need to find AD, which is x+y+z

Statement 1:

Gives us x+y = 6, so it is not sufficient.

Statement 2:

Gives us y+z = 6, so again not sufficient.

Combining, we can add the two, we get:

x+y + y+z = 6+6 OR x+y+z + y = 12

Unless we know y, we cannot find x+y+z. So not sufficient.

Hence

E answer