ankit7055 wrote:
If x and y are non zero numbers less than 1, is (y^4 - x^4) > (y^3 - x^5) ?
(1) y > 0
(2) y > |x|
OA:D
Is \((y^4 - x^4) > (y^3 - x^5)\)?
Is \(y^3(y-1)>x^4(1-x)\)?
Statement 1 : \(y > 0\)
\(0<y<1\)
L.H.S \(y^3(y-1)\) would always be negative
For \(x\), there can be 2 cases,
1) \(0<x<1\)
2) \(x<0\)
R.H.S will be always positive, as \(x^4\) is +ve, \((1-x)\) would give
+ve value in both of the cases
So There is definite answer to
Is \((y^4 - x^4) > (y^3 - x^5)\)? , That is No
Statement 1 alone is sufficient
Statement 2 : \(y > |x|\)
it means \(y\) is positive, i,e \(y>0\) same as statement 1
So There is definite answer to
Is \((y^4 - x^4) > (y^3 - x^5)\)? , That is No
Statement 2 alone is sufficient
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