# Quantitative Aptitude: Quadratic Equations Questions Set 69

1. a)4/√x +2/√x = √x
b)8/√y + 6/√y =√y
x>y
x
x ≥y
x≤y
x=y or relation cannot be established
Option B
1/√x (4+2)=√x==6
8/√y + 6/√y=√y==14

2. a)y^2-300 =724
b)z-√225 = √289
y>z
y
y ≥z
y≤z
y=z or relation cannot be established
Option D
y=+-32
z=17+15=32

3. a)y^2=x^2=96
b)y-x=8
x>y
x
x ≥y
x≤y
x=y or relation cannot be established
Option B
(y+x)(y-x)=96
(y+x)8=96
y+x=12
y-x=8
y=10 and x=2

4. a)x^2=841
b)y=√841
x>y
x
x ≥y
x≤y
x=y or relation cannot be established
Option D
x=29,-29
y=29

5. a)y^2-x^2=112
b)y-x=8
x>y
x
x ≥y
x≤y
x=y or relation cannot be established
Option B

6. a)y^2=1600
b)360/z=360/(z+5) + 1
y>z
y
y ≥z
y≤z
y=z or relation cannot be established
Option E
y=40,-40
z=40,-45

7. a)x^2-18x+72=0
b)y^2+30y+221=0
x>y
x
x ≥y
x≤y
x=y or relation cannot be established
Option A
x=12,6
y=-13,-17

8. a)2x^2-11x+14=0
b)y^2-9y+20=0
x>y
x
x ≥y
x≤y
x=y or relation cannot be established
Option B
x=3.5,2
y=5,4

9. a)3x^2+5x-2=0
b)5y^2-18y+9=0
x>y
x
x ≥y
x≤y
x=y or relation cannot be established
Option B

10. a)x^2-13x+40=0
b)y^2-8y+15=0
x>y
x
x ≥y
x≤y
x=y or relation cannot be established
Option C

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