Quantitative Aptitude: Quadratic Equation Questions Set 44

Directions: In the following questions, two equations numbered are given in variables x and y. You have to solve both the equations and find out the relationship between x and y. Then give answer accordingly-

  1. I. 2x2 – 21x + 55 = 0
    II. 2y2 – 17y + 36 = 0

    If x > y
    If x < y
    If x ≥ y
    If x ≤ y
    If x = y or relation cannot be established
    Option A
    x = 5, 11/2
    y = 4, 9/2
    Put all values on number line and analyze the relationship
    4………9/2……….5……..11/2

     

  2. I. 2x2 + 13x + 15 = 0
    II. 3y2 – 11y – 4 = 0

    If x > y
    If x < y
    If x ≥ y
    If x ≤ y
    If x = y or relation cannot be established
    Option B
    x = -1/3, 4
    y = -5, -3/2
    Put all values on number line and analyze the relationship
    -5………-3/2……….-1/3……..4

     

  3. I. 3x2 – 8x – 16 = 0
    II. 3y2 + 13y + 12 = 0

    If x > y
    If x < y
    If x ≥ y
    If x ≤ y
    If x = y or relation cannot be established
    Option C
    x = -4/3, 4
    y = -3, -4/3
    Put all values on number line and analyze the relationship
    -3………-4/3……..4

     

  4. I. 3x2 + 11x – 20 = 0
    II. 3y2 – 13y + 12 = 0

    If x > y
    If x < y
    If x ≥ y
    If x ≤ y
    If x = y or relation cannot be established
    Option D
    x = -5, 4/3
    y = 4/3, 3
    Put all values on number line and analyze the relationship
    -5………4/3……..3

     

  5. I. 2x2 + 3x – 20 = 0
    II. 2y2 + y – 15 = 0

    If x > y
    If x < y
    If x ≥ y
    If x ≤ y
    If x = y or relation cannot be established
    Option E
    x = -4,5/2
    y = -3, 5/5
    Put all values on number line and analyze the relationship
    -4………-3……..5/2

     

  6. I. 3x2 + 8x – 16 = 0
    II. 3y2 – 13y – 30 = 0

    If x > y
    If x < y
    If x ≥ y
    If x ≤ y
    If x = y or relation cannot be established
    Option E
    x = -4, 4/3
    y = -5/3, 6
    Put all values on number line and analyze the relationship
    -4………-5/3……..4/3………..6

     

  7. I. 2x2 – 19x + 44 = 0
    II. 3y2 – 4y – 32 = 0

    If x > y
    If x < y
    If x ≥ y
    If x ≤ y
    If x = y or relation cannot be established
    Option C
    x = 4, 11/2
    y = -8/3, 4
    Put all values on number line and analyze the relationship
    -8/3………4……..11/2

     

  8. I. 3x2 + 4x – 15 = 0
    II. 3y2 – 17y + 20 = 0

    If x > y
    If x < y
    If x ≥ y
    If x ≤ y
    If x = y or relation cannot be established
    Option D
    x = -3, 5/3
    y = 5/3, 4
    Put all values on number line and analyze the relationship
    -3………5/3……..4

     

  9. I. 2x2 – 21x – 55 = 0
    II. 3y2 – 14y – 5 = 0

    If x > y
    If x < y
    If x ≥ y
    If x ≤ y
    If x = y or relation cannot be established
    Option E
    x = -3/2, 6
    y = -4, -5/2
    Put all values on number line and analyze the relationship
    -4………-5/2……..-3/2 ………6

     

  10. I. 2x2 + 17x + 30 = 0
    II. 3y2 + 14y – 24 = 0

    If x > y
    If x < y
    If x ≥ y
    If x ≤ y
    If x = y or relation cannot be established
    Option E
    x = -6, -5/2
    y = -6, 4/3
    Put all values on number line and analyze the relationship
    -6………-5/2……..4/3

     



 

Related posts

2 Thoughts to “Quantitative Aptitude: Quadratic Equation Questions Set 44”

  1. Celestial

    mam 9th ka cant be determine hona chahiye..

Leave a Comment