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by prat_agl » Mon Nov 05, 2012 5:35 pm
if x and y are positive, is x<10<y?
1) x<y and xy =100
2) x^2 < 100 < y^2

I got A as the answer but OA is D. How can B give the correct ans. What if x= -11. This will not satisfy x^2 <100 but it will satisfy x < 10. Please help.
Last edited by prat_agl on Tue Nov 06, 2012 9:19 am, edited 1 time in total.
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Source: — Data Sufficiency |

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by Anurag@Gurome » Mon Nov 05, 2012 7:08 pm
prat_agl wrote:if x and y are positive, is x<10<y?
1) x<y and xy<100
2) x^2 < 100 < y^2

I got A as the answer but OA is D. How can B give the correct ans. What if x= -11. This will not satisfy x^2 <100 but it will satisfy x < 10. Please help.
I think the first statement is: x < y and xy = 100

(1) x < y and xy = 100
It is given that both x and y are positive and x < y. So, for xy = 100 to be true, one multiple should be < 10 and the other should be > 10.
Therefore, x < 10 < y; SUFFICIENT.

(2) x² < 100 < y²
Taking square root, we get, |x| < 10 < |y|
Since x and y are positive, so x < 10 < y; SUFFICIENT.

The correct answer is D.
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by FLUID » Mon Nov 05, 2012 11:54 pm
prat_agl wrote:if x and y are positive, is x<10<y?
1) x<y and xy<100
2) x^2 < 100 < y^2

I got A as the answer but OA is D. How can B give the correct ans. What if x= -11. This will not satisfy x^2 <100 but it will satisfy x < 10. Please help.

Please post right questions.
Thanks,

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by prat_agl » Tue Nov 06, 2012 9:18 am
Thanks Anurag. I have edited the post to correct the typo
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