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