paul.malicki wrote:Hey guys. I stuck on the following question (which I think is wrongly solved by Princeton Review):

If x, y, and z are positive and y% of x is greater than 100, is x% of z less than 10?
(1) z% of y is 10.
(2) z is less than 10% of y.

Princeton argues that the answer to this question is B. They state that for any combination of x,y,z, it works. However, I just checked it with y=100, z=9 and x=200 and apparently, it doesn't

Assumptions from the question stem:
y/100*x>100 <=> y*x>10'000
(2)z<10/100*y <=> y>10z

Rewritten question:
x/100*z<10? <=> x*z<1000?

Help me please!

paul.malicki wrote:I agree that (1) is not sufficient to answer the question, but I also think that (2) is not sufficient as well.

Have you checked answer B with the 2 following distinct combinations?:

y1=100
z1=9
x1=200

and

y2=100
z1=9
x2=101

paul.malicki wrote:I agree that (1) is not sufficient to answer the question, but I also think that (2) is not sufficient as well.

Have you checked answer B with the 2 following distinct combinations?:

y1=100
z1=9
x1=200

and

y2=100
z1=9
x2=101