If x is greater than 0, is root(-2xy + x^2 + y^2) > y-x ?
1) -y|y| > n^2
2) x>n>0
Interesting GMATFix Problem-48
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- arora007
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- neerajkumar1_1
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- neerajkumar1_1
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if i assume n as any integer or number...
from statement 1)
-y|y| > n^2
since RHS will be +ve , -y|y| will have to be +ve, hence y will be -ve
given eqn
root(-2xy + x^2 + y^2) > y-x
here the LHS always be +ve, since there is a root
now since y is -ve and x is >0 then RHS will always be -ve
so we have +ve> -ve
which is true...
thus sufficient...
statement2)
doesnt add anything...
Pick A...
whats OA??
from statement 1)
-y|y| > n^2
since RHS will be +ve , -y|y| will have to be +ve, hence y will be -ve
given eqn
root(-2xy + x^2 + y^2) > y-x
here the LHS always be +ve, since there is a root
now since y is -ve and x is >0 then RHS will always be -ve
so we have +ve> -ve
which is true...
thus sufficient...
statement2)
doesnt add anything...
Pick A...
whats OA??
- arora007
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OA is A, u've cracked it!!
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we just need to know whether y is negative or positive to decide the answer,right? so pick Aarora007 wrote:OA is A, u've cracked it!!
A is the answer
however, why there is "n" here?
hey, honey, do you have its explaination? cos i think its weird!
Data given:
formula can be simplified to x - y > y - x
We know X is positive
given this info, the answer depends on whether y is negative or positive (negative Y will increase the greater side and decrease the other side)
A) tells us Y is positive , suf
B) no info regarding Y, insuf
pick A
formula can be simplified to x - y > y - x
We know X is positive
given this info, the answer depends on whether y is negative or positive (negative Y will increase the greater side and decrease the other side)
A) tells us Y is positive , suf
B) no info regarding Y, insuf
pick A
arora007 wrote:If x is greater than 0, is root(-2xy + x^2 + y^2) > y-x ?
1) -y|y| > n^2
2) x>n>0