Question
Quantitative Aptitude Question on Number Systems
Given that x2018 y2017 = 1/2 and x2016 y2019 = 8, the value of x2+y3 is
A
35/4
B
37/4
C
31/4
D
33/4
Answer
33/4
Explanation
Solution
The correct answer is (D):
x2018 y2017 = 1/2....(1)
and x2016 y2019 = 8...(2)
Dividing (1) by (2), x2/y2 = 1/16
x/y = 1/4 i.e. x = ± 1/4 y
(±1/4y)2018 y2017 = 1/2
y4035 = 2 4035
y = 2
Therefore, x = ±1/4 y = ± 1/2
Hence, x2 + y3 = 1/4 + 8 = 33/4