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

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## CAT 2018 - Slot-1 - Algebra – Polynomials - Question-3 - Given that x^2018 y^2017

Q. 3: Given that x^2018 y^2017 =1/2 and x^2016 y^2019= 8,the value of x^2 + y^3 is?
1.  33/4
2.
35/4
3.
31/4
4.
37/4

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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