**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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