x2 ndash 7x 10 0 y2 ndash 5y 6 0 ........

Quantitative Aptitude (SBI-CL) Quadratic Equations

Direction: In the following question two equations are given in variables Xand Y. You have to solve these equations and determine relation between X and Y.

x² – 7x + 10 = 0

y² – 5y + 6 = 0

If X > Y

If X < Y

If X ≥ Y

If X ≤ Y

If X=Y or No relation can be established

Explanation:

x² – 7x + 10 = 0
x² - 5x - 2x + 10 = 0
x(x - 5) - 2(x - 5) = 0
(x-2) (x-5) = 0
x=2, x=5
y² – 5y + 6 = 0
y² - 3y - 2y + 6 = 0
y(y - 3) - 2(y - 3) = 0
(y - 3) (y - 2) =0
y = 3, y = 2
x= 5,2
y= 3,2