Quantitative Aptitude: Quadratic Equations Questions Set 75

  1. I. x^2 – 8x + 12 = 0
    II. 2y^2 + 7y + 5 = 0
    X ≥ Y
    X ≤ Y
    X > Y
    X < Y
    X= Y or no relation.
    Option C
    I. x^2 – 6x – 2x + 12 = 0
    x = 6, 2
    II. 2y^2 + 5y + 2y + 5 = 0
    2y = -5, -2
    y = -2.5, -1

     

  2. I. y^2 = 196
    II. x^2 – 30x + 225 = 0
    X ≥ Y
    X > Y
    X ≤ Y
    X= Y or no relation.
    X < Y
    Option B
    I. y = 14, -14
    II. x^2 – 15x – 15x + 225 = 0
    x = 15, 15

     

  3. I. 4x^2 + 14x – 8 = 0
    II. y^2 + 8y + 16 = 0
    X ≤ Y
    X= Y or no relation.
    X < Y
    X > Y
    X ≥ Y
    Option E
    I. 4x^2 + 16x – 2x – 8 = 0
    4x = -16, 2
    x = -4, .5
    II. y^2 + 4y + 4y + 16 = 0
    y = -4, -4

     

  4. I. x^3 = 1728
    II. y^2 – 24y + 144 = 0
    X < Y
    X ≤ Y
    X= Y or no relation.
    X ≥ Y
    X > Y
    Option C
    I. x = 12
    II. y^2 – 12y – 12y + 144 = 0
    y = 12, 12

     

  5. I. x^2 – 32x + 156 = 0
    II. y^2 – 33y + 140 = 0
    X ≥ Y
    X > Y
    X ≤ Y
    X= Y or no relation.
    X < Y
    Option D
    I. x^2 – 26x – 6x + 156 = 0
    x = 26, 6
    II. y^2 – 28y – 5y + 140 = 0
    y = 28, 5

     

  6. I. 2x^2 – 24x + 64 = 0
    II. y^3 = 512
    X < Y
    X= Y or no relation.
    X ≤ Y
    X > Y
    X ≥ Y
    Option C
    I. 2x^2 – 16x – 8x + 64 = 0
    2x = 16, 8
    x = 8, 4
    II. y^3 = 512
    y = 8

     

  7. I. x^2 = 400
    II. y = √400
    X ≥ Y
    X < Y
    X ≤ Y
    X= Y or no relation.
    X > Y
    Option C
    I. x^2 = 400
    x = 20, -20
    II. y = √400
    y = 20

     

  8. I. x^2 – 7x + 12 = 0
    II. y^2 + 5y + 6 = 0
    X ≤ Y
    X < Y
    X= Y or no relation.
    X > Y
    X ≥ Y
    Option D
    I. x^2 – 4x – 3x + 12 = 0
    x = 4, 3
    II. y^2 + 3y + 2y + 6 = 0
    y = -3, -2

     

  9. I. x^2 – 14x + 48 = 0
    II. y^2 = 64
    X > Y
    X < Y
    X ≥ Y
    X ≤ Y
    X= Y or no relation.
    Option E
    I. x^2 – 8x – 6x + 48 = 0
    x = 8, 6
    II. y^2 = 64
    y = + 8, – 8

     

  10. I. 2x^2 + 19x + 34 = 0
    II. y – 8y + 15 = 0
    X < Y
    X > Y
    X ≤ Y
    X ≥ Y
    X= Y or no relation.
    Option A
    I. 2x^2 + 17x + 2x + 3 = 0
    2x = – 17, – 2
    x = – 8.5, – 1
    II. y – 5y – 3y + 15 = 0
    y = 5, 3