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