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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