Arithmetic Aptitude :: QE Quiz 19
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# free Online Test Quadratic Equation Questions and Answers Quiz 19

Description: Free Online Test questions and answers on Quadratic Equation with explanation for various competitive exams,entrance test. Solved examples with detailed answer test 19

Exercise

 "Everyone is wise until he speaks." - (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. $x^ 2$ - 2x - 15 = 0
II. $y^ 2$ + 5y + 6 = 0
 $x > y$ x ≥ y $x < y$ $x ≤ y$
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2 . I. $x^ 2$ - x - 12 = 0
II. $y^ 2$ -3y + 2 = 0
 $x > y$ $x \geq y$ $x < y$ x = y or no relation can be established between ‘x’ and ‘y’.
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3 . I.$x - \sqrt{169} = 0$
II.$y^2 - \sqrt{169} = 0$
 $x > y$ x ≥ y $x < y$ $x < y$
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4 . I. $x^2 - 32 = 112$
II. y - $\sqrt{256}$ = 0
 $x > y$ $x \geq y$ $x < y$ $x \leq y$
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5 . I. $x^ 2$ - 25 = 0
II. $y^ 2$ - 9y + 20 = 0
 $x > y$ $x \geq y$ $x < y$ x = y or no relation can be established between ‘x’ and ‘y’.
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6 . Directions (Q. 6 - 10): In the following questions, three equations numbered I, II and III are given. You have to solve all the equations either together or separately, or two together and one separately or by any other method and give answer
(1) if x = y > z
(2) if x < y = z
(3) if x < y > z
(4) if x = y = z or if none of the above relationship can be established.
(5) if x ≤ y < z

$Q.$
I. 3x + 5y = 69
II. 9x + 4y = 108
III. x + z = 12
 x = y > z x < y = z x < y > z x = y = z or if none of the above relationship can be established.
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7 . I . $y = \sqrt{9^{3 \times {1\over3}} \times {9^{3 \times {1\over3}}}}$ = $\sqrt{9 \times 9}$ = 9
II. 2x + 5z = 54
III. 6x + 4z = 74
 x = y > z x < y = z x < y > z x ≤ y < z
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8 . I. 2x + 3y + 4z = 66
II. 2x + y + 3z = 42
III. 3x + 2y + 4z = 63
 x = y > z x < y = z x < y > z x ≤ y < z
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9 . I. $(x + z)^ 3$ = 1728 = $12^ 3$
II. 2x + 3y = 35
III. x - z = 2
 x = y > z x < y = z x < y > z x ≤ y < z
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10 . I. 4x + 5y = 37
II. x + z = 8
III. 7x + 3y = 36
 x = y > z x < y = z x < y > z x ≤ y < z
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