Quantitative Aptitude – Algebra – Polynomials – Given that x^2018 y^2017

Slot -1 – Quantitative Aptitude – Algebra – Polynomials – Given that x^2018 y^2017

Given that x^2018 y^2017 =1/2 and x^2016 y^2019= 8,the value of x^2 + y^3 is?a) 33/4

b) 35/4
c) 31/4
d) 37/4

Answer: a) 33/4

Solution:

Given, x^2018 y^2017 =1/2——————1)
x^2016 y^2019= 8——————-2)
By dividing eq 1) with eq 2)
x^2/y^2 =1/16——–3)
By multiplying eq 1) with eq 2)
x^4034 y^4036=(xy)^4034 y^2= 4——–4)
From eq 3) & eq ) 4 we can say x = ½ and y = 2
So x^2 + y^3=1/4+8=33/4

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