# Quantitative Aptitude: Quadratic Equations Questions Set 70

1. a)(x-3) (x+2)=0
b)y^2 -7y +12=0
x>y
x
x is less than or equal to y
x is greater than or equal to y
x=y or relationship cannot be established
Option C
x=3 , -2
y=3 , 4

2. a)x(27-x) = 182
b)y(55-y) = 750
x>y
x
x is less than or equal to y
x is greater than or equal to y
x=y or relationship cannot be established
Option B
x=13 ,14
y=25 , 30

3. a)(x+3) (x+29) = 360
b) 480 / y =[480/(y- 8)] – 3
x>y
x
x is less than or equal to y
x is greater than or equal to y
x=y or relationship cannot be established
Option E
x= 7 , -39
y = 40 , -32

4. a)2x^2 +x -300 =0
b)y^2 – 45 y + 324 = 0
x>y
x
x is less than or equal to y
x is greater than or equal to y
x=y or relationship cannot be established
Option E
x=12 , -12.5
y= 36 , 9

5. a)13x^2 – 32x – 21 = 0
b)8y^2 +6y – 5 =0
x>y
x
x is less than or equal to y
x is greater than or equal to y
x=y or relationship cannot be established
Option E
x=3, -0.5
y=-1.25, 0.5

6. a)16x^2 +20 x + 6 = 0
b)y^2 +15 y +56=0
x>y
x
x is less than or equal to y
x is greater than or equal to y
x=y or relationship cannot be established
Option A
x= -0.25 , -1.5
y= -8 , -7

7. a)12x^2 +29x +14 =0
b)Y^2 +9y +18 = 0
x>y
x
x is less than or equal to y
x is greater than or equal to y
x=y or relationship cannot be established
Option A
x= – 1.75 , -0.60
y= -6 , -3

8. a)x^2 – 33x +272 =0
b)y^2 – 30y +224 = 0
x>y
x
x is less than or equal to y
x is greater than or equal to y
x=y or relationship cannot be established
Option D
x=16,17
y= 16 , 14

9. For which of the following ,the value of X is greater than Y.?

a)3x^2 +23x +44= 0 ; 3Y^2+20 y +33=0
b)3x^2 +29x+56=0 ; 2y^2 +15y +25 = 0
c)3x^2 – 16x +21 = 0; 3y^2 -28y +65 =0

Only a
Only b
Both a and c
Both b and c
None follows
Option E
a) x= -4 , -11/3 ; y= -3 , -11/3
b)x= -7 , -8/3 ; y = -5 , -5/2
c)x = 3 , 7/3 ; y =5 ,13/3

10. a)x^2 – 8x +15 = 0
b)y^2 -13y +40 = 0
x>y
x
x is less than or equal to y
x is greater than or equal to y
x=y or relationship cannot be established
Option C
x=5 , 3
y=8 , 5

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