Arithmetic Aptitude :: QE Quiz 18
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Description: Free Online Test questions and answers on Quadratic Equation with explanation for various competitive exams,entrance test. Solved examples with detailed answer test 18

Exercise

 "No one is as deaf as the man who will not listen." - (Proverb)
1 . Directions (Q. 1 - 5): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer
(1) if x > y
(2)if x ≥ y
(3) if x < y
(4) if x ≤ y
(5) if x = y or no relation can be established between x and y.

$Q.$
I.$63x - 94\sqrt{x} + 35 = 0$
II. $32y - 52\sqrt{y} + 21 = 0$
 $x > y$ $x \geq y$ $x < y$ x = y or no relation can be established between ‘x’ and ‘y’.
2 . I.$x^2 - 7\sqrt{3}x - 35\sqrt{15} = 5\sqrt{5}x$
II.$y^2 - 5\sqrt{5}y + 30 = 0$
 $x > y$ $x \geq y$ $x < y$ $x \leq y$
3 . I. $14x^ 2$ + 11x - 15 = 0
II. $20y^ 2$ - 31y + 12 = 0
 $x > y$ $x \geq y$ $x < y$ $x \leq y$
4 . I. 5x + 4y = 41
II. 4x + 5y = 40
 $x > y$ $x \geq y$ $x < y$ $x \leq y$
5 . I. $\sqrt{x}$ - $(18)^{15\over 2}\over x ^{2}$ = 0
II. $\sqrt{y}$ - $(19)^{9\over 2}\over y$ = 0
 $x > y$ $x \geq y$ $x < y$ $x \leq y$
6 . Directions (Q. 6 - 10) : In each of these questions, two equations (I) and (II) are given. Solve both the equations and give answer
(1) if x > y
(2) if x < y
(3) if x ≥ y
(4) if x ≤ y
(5) if x = y or no relation can be established between ‘x’ and ‘y’.

$Q.$
I . $63x - 194\sqrt{x} + 143 = 0$
II .$99y - 225\sqrt{y} + 150 = 0$
 $x > y$ $x \geq y$ $x < y$ x = y or no relation can be established between ‘x’ and ‘y’.
7 . I. $16x^ 2$ - 40x - 39 = 0
II. $12y^ 2$ - 113y + 255 = 0
 $x > y$ x < y x ≥ y $x \leq y$
8 . I. $x - 7\sqrt{3}x + 36 = 0$
II. $y - 5\sqrt{3}y - 7\sqrt{2}y + 70 = 0$
 $x > y$ x < y x ≥ y $x \leq y$
9 . I . $x^2 - 7\sqrt{x} + 84$ = 0
II . $y^2 - 5\sqrt{5} + 30$ = 0
 $x > y$ x < y x ≥ y $x \leq y$
 $x > y$ x < y x ≥ y $x \leq y$