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1012 GMAT QUESTIONS. If x,y, and z are positive and y% of x.

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1012 GMAT QUESTIONS. If x,y, and z are positive and y% of x.

by paul.malicki » Tue Nov 01, 2011 1:20 pm
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!
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by vaibhavgupta » Tue Nov 01, 2011 1:26 pm
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!
I got B .. :/
If OA is A, IMO B
If OA is B, IMO C
If OA is C, IMO D
If OA is D, IMO E
If OA is E, IMO A

FML!! :/
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by paul.malicki » Tue Nov 01, 2011 1:38 pm
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
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by vaibhavgupta » Tue Nov 01, 2011 1:47 pm
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
Hmm.. i think we need an expert on this. I put in the values from the question into second and got the answer . not highly confident it is correct :?
If OA is A, IMO B
If OA is B, IMO C
If OA is C, IMO D
If OA is D, IMO E
If OA is E, IMO A

FML!! :/
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by neelgandham » Tue Nov 01, 2011 2:39 pm
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
I will start from statement 2 and will try to convince you guys :)

(2) z is less than 10% of y.

=> z < (10/100)*y
=> 10z < y
=> y > 10z - (1)

If x, y, and z are positive and y% of x is greater than 100, is x% of z less than 10?

=> ((y/100)*x) > 100
=> xy > 10000

Question is Is xz < 1000

We already know that xy > 10000 => x*10*z >10000 => xz > 1000, SO the answer is NO ! Sufficient !
Anil Gandham
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