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

Other posts related to Quantitative Aptitude – Modern Maths

Permutation and Combination – Fundamental Principle of Counting
Permutation and Combination – Distribution of Objects
How to find Rank of a Word in Dictionary (With or Without Repetition)
Set Theory- Maximum and Minimum Values
How to solve questions based on At least n in Set Theory for CAT Exam?
Sequence and Series Problems and Concepts for CAT 2017 Exam Preparation
Basic Probability Concepts for CAT Preparation