Quantitative Aptitude: Quadratic Equation Questions Set 43

Quadratic Equation Questions for IBPS PO/RRB, SBI, RBI, NICL, NIACL, LIC, UIIC, OICL, Bank of Baroda and other competitive exams.

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. 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 C
   Solution:
   x = 5, 11/2
   y = -1/3, 5
   Put all values on number line and analyze the relationship
   -1/3………5……..11/2

    

2. I. 3x² – 13x + 14 = 0
   II. 3y² – 19y + 28 = 0
   If x > y
   If x < y
   If x ≥ y
   If x ≤ y
   If x = y or relation cannot be established
   Option D
   Solution:
   x = 2, 7/3
   y = 7/3, 4
   Put all values on number line and analyze the relationship
   2………..7/3……4

    

3. I. 3x² + 2x – 21 = 0
   II. 3y² – 13y + 14 = 0
   If x > y
   If x < y
   If x ≥ y
   If x ≤ y
   If x = y or relation cannot be established
   Option E
   Solution:
   x = -3, 7/3
   y = 2, 7/3
   Put all values on number line and analyze the relationship
   -3………..2……7/3

    

4. I. 3x² – 11x – 4 = 0
   II. 3y² + 14y + 16 = 0
   If x > y
   If x < y
   If x ≥ y
   If x ≤ y
   If x = y or relation cannot be established
   Option A
   Solution:
   x = -1/3, 4
   y = -8/3, -2
   Put all values on number line and analyze the relationship
   -8/3………..-2……6

    

5. I. 3x² – 8x + 4 = 0
   II. 3y² – 19y + 30 = 0
   If x > y
   If x < y
   If x ≥ y
   If x ≤ y
   If x = y or relation cannot be established
   Option B
   Solution:
   x = 2/3, 2
   y = 3, 10/3
   Put all values on number line and analyze the relationship
   2/3……2……..3……10/3

    

6. I. 3x² – 11x + 6 = 0
   II. 3y² – 16y + 20 = 0
   If x > y
   If x < y
   If x ≥ y
   If x ≤ y
   If x = y or relation cannot be established
   Option E
   Solution:
   x = 2/3, 3
   y = 2, 10/3
   Put all values on number line and analyze the relationship
   2/3……2……..3……10/3

    

7. I. 3x² – 4x – 32 = 0
   II. 3y² + 14y + 16 = 0
   If x > y
   If x < y
   If x ≥ y
   If x ≤ y
   If x = y or relation cannot be established
   Option E
   Solution:
   x = -8/3, 4
   y = -8/3, -2
   Put all values on number line and analyze the relationship
   -8/3………..-2……….4

    

8. I. 2x² + 13x + 20 = 0
   II. 2y² + 5y – 12 = 0
   If x > y
   If x < y
   If x ≥ y
   If x ≤ y
   If x = y or relation cannot be established
   Option E
   Solution:
   x = -4, -5/2
   y = -4, 3/2
   Put all values on number line and analyze the relationship
   -4……….-5/2……..3/2

    

9. I. 3x² – 17x + 20 = 0
   II. 3y² + y – 10 = 0
   If x > y
   If x < y
   If x ≥ y
   If x ≤ y
   If x = y or relation cannot be established
   Option C
   Solution:
   x = 5/3, 4
   y = -2, 5/3
   Put all values on number line and analyze the relationship
   -2………5/3……..4

    

10. I. 4x² – 15x + 9 = 0
    II. 2y² – 13y + 21 = 0
    If x > y
    If x < y
    If x ≥ y
    If x ≤ y
    If x = y or relation cannot be established
    Option D
    Solution:
    x = 3, 7/2
    y = 3/4, 3
    Put all values on number line and analyze the relationship
    3/4………..3……..7/2